Remember that the session will be recorded and the recording will be on my UNISA over the weekend. Do you have any questions before we start with today's session? I know that we have one more minute before we start. Any questions that you want to raise before we start? Nobody wants to say anything. So you are all happy.  Therefore, during this session, when we do exercises, I expect everybody to do the exercise and then we come back. We all do the exercise together or somebody answers the exercise. And please make sure that you are able to write on the chat. Those who can speak will stay in an environment where it is not conducive enough for speaking or talking over the video. You can write or you can type on the check. I tried to make sure that everybody is linked onto the group so that the chat capability can be activated for everybody. For those who joined as guests, the possibilities are you have used your Gmail account or your other accounts which are not my UNISA account. If you want to be loaded on the chat, you will have to join the group. I will send the link again on WhatsApp for people to join the group. Okay. So let's start with today's session. It's going to be short and sweet. So today we're only going to be doing Quart House which is study unit 3 and tomorrow we will do the probabilities from 12 until 2 o'clock. And by the end of tomorrow's session, you should be able to do all your assignment questions for assignment 1. So the agenda for today, how I planned it. For 30 minutes, we're going to just do the basic introduction to Quart House, looking at Quartile 1, 2, 3 and Interquartile range. And then from half past 7 until around 10 to 8, we will do the five number summary and some exercises in between. Then we'll take a break so that we can send away from where we are and also those who want to go get water, they can go get water and come back. Then we will do more exercises, not too many, but at least enough for you to be able to know how to answer some of the questions that might be asked regarding the Quart House. Okay. Any questions before I move on? If there are no questions, then we can dip in. No questions for me. Thank you. If in the absence of no questions, then today's session, by the end of today's session, you should have or you should be able to learn how to find the Quartile position and how to find the Quartile value. You should be able to calculate the Interquartile range from the Quart House and you should be able to identify the five number summary values. And you should be able to construct a box plot or read at least a box plot if you are given in the exam or in your assignment as well. So, what are the Quartiles? Quartile is a way you can split your data into four parts. So, say if we know that we have 20 values, we can split them into equal parts of 25% points, that every value will fall within that 25%, 25%. And the first 25% will represent your Quartile 1. So, any value, your Quartile 1 will be the value that is, most of the values are 25% of the values are less than or 75% of the values are more than that value. That is Quartile 1. Quartile 2. I should have switched off the notifications. Quartile 2. It's the same as your median. Remember last week on Saturday, we did the measures of central location. And we said one of the measures of central location was the Quartile. Quartile 2 is the same. Oh, sorry. One of the measures of central location is the median. Quartile 2 is the same as your median. Which represent 50% of the values will be below that value and 50% of the values will be above that value. And Quartile 3 represent 75% of the values will be less than or below that value and 25% of the values will be bigger than that value. And in order for us to find this Quartile, we first have to find the position. But before you can even locate that position, your data needs to be ordered from lowest to highest. Like the same thing we did with the median. So since we first need to find the position and then the data also needs to be sorted from lowest to highest in order for us to identify the position. Then once we have the position, we should be able to locate the Quartile value. How do we do that? How do we locate the Quartile value? Quartile 1, which the position for that Quartile 1, we find it by using the formula n plus 1 divided by 4. Once we have sorted the values and we calculate this Quartile 1, we will find that position there. And we will use that formula to find the position. For Quartile 2, since it's the same as the median, it's n plus 1 divided by 2. In the exam, all these formulas will not be given. So you need to know how to find these positions by heart. You must always remember that for the Quartiles, you will have to know the formulas by heart when you go to the exam. In case your exam is a written one where you have to go to the database. But if you're writing online, you will have access to this formula because you will have your books with you. The third Quartile is 3 multiplied by n plus 1 divided by 4. And that will give you your position where your n value is just the number of observations. So if they gave you 10 values, 10 will be your n. So let's look at an example. But before we look at an example, let's understand the rules. Because when you apply these formulas and we're calculating these formulas, there are values that will be whole numbers. There are values that might appear as fractions. There are values that will appear as a non-fractional value like 0.25 or 0.75. You need to know how to work with those things. And to do that, if the result of your Quartile position is a whole number, since your data is sorted, the value where you are will be your Quartile. So let's say for example, we calculated our Quartile. So let's say our values are 3, 5, 9, 15, 21 and 32 and 33. Let's say this is our Quartile. So we calculate Quartile 1 and we find after we use the formula and we find that Quartile 1 is on position number 3. It's a whole number. So because it's a whole number, so we just start counting 1, 2, 3 and that will be our Quartile value. And that's how we're going to use the Quartile position to locate our Quartile value. So therefore it means our Quartile value will be value number 9. Since my data is sorted in order. So what happens if the value becomes a fractional half? So let's say Quartile 1, we calculated the values and Quartile 1 is equals to 2.5. Let's say for argument sake, the answer we get we end up with is 2.5. So when it's 2.5, we say this value, the position is the fractional position. So therefore it means it will fall between two values. We will locate it between the two values. So 1, 2.5 will be somewhere in between those two values. When it is between the two values, we're going to take an average. What do I mean? It says I'm going to say 5 plus 9 divide by 2 and that will give me my Quartile value and my Quartile value from the position 2.5 will be 9 plus 5 divide by 2, which will give me 7. And that will be my Quartile value. We will find that the value that you get from the Quartile is not a fractional half. Let's say the value, let's say Quartile 1 when you calculate and you find that the value is 2.75. When it's 2.75, we're going to round up this position and say it is closer to 3 because the majority of the values are 0.75 closer to 3 and 0.25 less than 2. So it cannot be 2. So we're going to round this up to 3. Therefore, we're going to count and say 1, 2, 3 and therefore our Quartile 1 position will be positioned. It will be 9. In position 3, it will be 9. What happens as well? If the Quartile position, let me write it right there at the top.  So let's say the answer you get is 2.25. When it's 2.25, we can round and estimate that this says the position is on position number 2. So we round down because it's not closer to 3, but it's also 25% closer to 2. So it means we can round down the value and estimate that the position is on position number 2. And therefore we go and say our Quartile value is 5 and that's how we do the Quartile. So let's look at an example in more detail with the real data. Let's say we have this sample data and we can count how many there are. There are nine values that we are given from the sample. If we want to calculate Quartile number 1, we know the formula is n plus 1 divided by 4. Quartile position, we substitute n is 9. So it will be 9 plus 1 divided by 4. It will give us 2.5. And that position, since it's 2.5, it will be located between 12 and 13. Since it's located between two values, we're going to take an average between those two values. So we're going to add 12 and 13 and divide it by 2 and we get the Quartile 1 as 12.5. And we can do the same calculation for Quartile 2 and Quartile 3. Any questions before I move on to the next? If there are no questions, okay, I see there is a question. Sam, your hand is up and your hand is gone. Okay, can you hear me? Yes, I can hear you. Good evening everyone. All right, my question is the Quartile number, can it be the number that is not on the number that we have? We have 11, 12, 13. So if they ask me what is the value for the Quartile 1, then I'll be saying 12.5 whereas we don't have 12.5 there. Yes, it can be a value that is not on there because if the position is located between two values. Let's say this was 14, then the Quartile value will be 13. Even though it was not on there, but it will be the value that is there because of you going to take the average of the two values. Okay, I understand. Thanks. Okay, so let's look at now how to calculate Quartile 2 and Quartile 3. So we already did Quartile 1. So we know that Quartile 1 is 12.5. Calculating Quartile 2, remember the formula for Quartile 2 is n plus 1 divided by 2. So n is 9 plus 1 is 10 divided by 2. It tells us that the position is on position number 5. So it's the fifth position, 1, 2, 3, 4, 5. Therefore 16 will be our Quartile 2. And since 16 is our Quartile 2, it is also called the median. You must also remember that Quartile 2 is the same as the median. And for this dataset, it's 16. To get to Quartile 3, we calculate Quartile 3. Remember the formula is 3 times n plus 1 divided by 4. So it's 3 times 9 plus 1, which is 10 times 3 is 30 divided by 4. The position will be 7.5 and you can count 1, 2, 3, 4, 5. So 7.5 will be located between the two values and we do the same. We take the average of the 2 and the Quartile 3 value is 18 plus 21 divided by 2, which gives us 19.5. Quartile 1 and Quartile 3, these are non-measures of central location and Quartile 2 is a measure of central location. And that's how you find the Quartiles. When you have the Quartiles, you can calculate what we call an interquartile range. The same as what we do with the variation, measures of variation then before, which is the range. Remember the range, your highest value minus your lowest value. So for the Quartiles, your interquartile range uses the values of your Quartiles, not your positions, but the values. So it means we're going to use the 12.5 and the 19.5 because we're going to be using the values, not the position. So let's learn how to calculate the interquartile range. An interquartile range takes your largest Quartile, which is Quartile 3, minus your smallest Quartile, which is Quartile 1, and it tells you the spread of your values at a range of 50 percent house. An interquartile range is also a measure of variability, and it's also not influenced by the outliers or the extreme values because it doesn't look at those, it looks at where 50 percent of the values of 25 percent and 75 percent of the values are located in. From the data set that we had previously, we know that there were nine of them and we calculated our Quartile 1 and we also found our Quartile 3 to calculate our interquartile range. Remember interquartile range is Q3 minus Q1. So therefore our Q3, Q3 minus Q1. Not the position, but the values. And our Q3 value was 19.5 and our Q1 value was 12.5. So it's 19 minus 12.5 and the interquartile range is 7. And that's it with Quartiles. Later on, we will discuss how we calculate, how we identify the five number summaries using the Quartiles and how do we plot the box plot. For now, there is your exercise. If you look at this data, the data is sorted because it starts from 159, 170, 172 up to 257. It is in order. Applying the same method that we did, you can answer which question is incorrect. But before you go and answer this question, remember, you can, for now, you can go find Quartile 1 position by using n plus 1 divide by 4 and go find Quartile 2 position by using n plus 1 divide by 2 and go find the Quartile 3 position by using 3 times n plus 1 divide by 4. Once you have found the positions, then you can go find the values. So once you have the positions, then you can go and locate your values from there and then we will come back and discuss the answer just now. For now, that's your exercise for 10 minutes or for actually for less than 10 minutes for five minutes. And then we will do the answers just now. Are you still busy or are you done? I am done. Yes, you are busy. Done. You are still busy. You have one minute. We're going to come back to the options. Which one is correct and which one is not correct? For now, I just want to do the positions. Who wants to go with me and do the positions with me? Who's volunteering themselves? Anyone? Any volunteer? Nobody? Sam?  I'm voluntary. Thank you. Yes. For quarter one. For quarter one. Quarter one is four. I got it. Let's help those who didn't know where did you get four from. I got four by counting the number of observations, which is 15. That will be N plus one. That will be 15 plus one is 16. And then 16 divided by four gives me the answer of four. And the position for quarter one. The position for quarter one is four. It's four. Okay. Let's continue to the next one. Quarter two. Quarter two. I have to get N by that 15. 16 over two. Which is. 16 divided by two is eight. So the position is eight. Okay. And quarter three. I said. I used the formula of three into N plus one. Over four. Then I got 16 into three, which is 48. Divide by four. And I got 12. So the position is 12. The position, sorry for my pen. Position for quarter three is 12. Position is 12. Okay. So since we know all the positions, we can go and find the values. So the values for quarter one. The value for quarter one is 173. 173. Quarter two. Because it starts from there, we count from 159, one, two, three, four, since the position was four. And that gives us 173. And for quarter two. It's 201. 201, because if we know that is four, five, six, seven, eight, that will be quarter. Quarter two, which is the same as the million. And quarter three. And quarter three is 217. Starting from eight, nine, 10, and 12. I should have switched off my WhatsApp. Quarter three. So if we're going to look at the answer, we are looking for the incorrect answer. So now you have all the values. You can just come in tick, tick, tick, and say which one is incorrect. So if we look at option number one, position of quarter one is four, and we know that it was four. So that is correct. The position of quarter two is eight. We can see that the answer was eight. That is correct. The position of the million is eight. Do you agree? Yes. Yes, you agree because I already also gave you the answer there. So therefore it's correct. The position of quarter three is 12, and we know that the position was 12, and we can find that answer there. The value of quarter three is 216. The value of quarter three is 217. Therefore this is the incorrect one. That will be the option we were looking for. Whose extent is difficult? Very easy. Wow. Into our next segment. The five number summary. Any questions before we... I can go back to the question. Do you have any questions? Before we move on. Anybody who is still lost and needs some clarity, your hand is still up or is it the historical hand? No, it's not historical. I tried to use the chat there to give the answer on the chat, but it failed to send. Okay, no problem. We can always chat like you've always been doing. Okay. Thank you. Any other questions? Nothing? So it's half past seven. So we sent in half past seven. We're going to look at the five number summary and the box plot. If we know how to calculate the interquartile ranges and the quartiles, we can use the quartiles to find, I think my slides are repeating themselves, to find the five number summary. So if we look at this, it's what we call a box plot. It's a summary of the five number summary of your quartiles. Where it also includes your minimum value and your maximum value. If we look at the blue box starting from there to there, that is the blue box. That's what we call the box. And the whiskers are those 25% length that goes out. At the beginning of the box at this point, that's where we identify our quartile one value because 25% of the values are less than that value and 75% of the values are more than. In the middle of the box, it will tell you your median. If there is a 25, 25 spread between the two values, then your data is symmetric. We will deal with that later on. It's closer to quartile three. We say it's due to the left. If it's closer to quartile one, I mean, I'm referring to the median. Then we say it's due to the left. And at the end of the block, at the end of the box, you will have quartile three value defined, which tells you 75% of the values are more than that quartile three value and 25% of the values are less than that value and 25% of the values are less than that value. And at the end of the whisker will be your maximum date. Sometimes on your box plot, you might find that there is an outlier lying somewhere there or lying somewhere there. If it's outside of the range of your data, we always ignore the outliers and only report on the minimum values and the maximum.  There are five numbers. If, for example, these are our values, we are also able to take the box whisker plot and calculate what we call the interquartile range. Remember at the beginning, we used quartile one and quartile three. Yes, we still use the values because we know that quartile one is 57. So this value should have been there. It's a little bit, but that 57 should be somewhere there. So 57 is our quartile three value and 30 is our quartile one value. So we take 57 minus 30 gives us 27. So that 70 should be here. And that gives you the interquartile range. And this is your box plot or box whisker plot and your fact number summary. It gives you the spread, the center by the mean of, by looking at the median and it also tells you the shape of your data by looking at how far your values are from one another. So let's look at the spread in more detail. How do I know if my data is skewed or not skewed? So using the measures or the five number summary to find the distribution or the shape of your data. It's a little bit challenging. But it's also easy to look at it. I will advise you to always remember this. The lowest, the bottom part, the bottom one where it looks at only the quartile. So if the distance between the median which is quartile two, the distance between quartile two and quartile one is greater than the distance between quartile three and quartile two. Then we know that your data is left skewed because we're looking at that distance, the difference. If the median, which is your quartile two if the difference between it and quartile one is less than the difference between quartile three and the median is left skewed. If they are the same, if the distance are the same then it's symmetric. If the distance is less than for the median and quartile one is less than the distance between quartile three and the median then we say it is right skewed. How do I present this on a data, on a box plot? Let's start with the left skewed. So let's say our box plot looks like this. I'm going to draw it here. So this will be our box. I'm going to draw our box first. If this is our box and this is our whisker and that is our whisker, I'm not interested in the whiskers because at the beginning this is quartile one and this is quartile three. It says if the value of the median which is quartile three if the distance of the median and quartile one if it's bigger than the distance between quartile three and the median it is left skewed. What does that mean? So it means it looks like this. So there is your quartile two. So the distance, if you look at this this is bigger than that distance. The distance is smaller than the side and it means this data is left skewed. For symmetric, if this is our box and this is our whisker and this is our whisker and this is quartile one and this is quartile three therefore it will be just in the middle. The median will be in the middle. For the right skewed it says if the distance between quartile one and the median is less than the distance between quartile three and the median then it is right skewed. So this is our box and that is our whisker and that is our whisker. Remember that the beginning is quartile one and then this is quartile three or I keep on saying quartile two this should be quartile three. If the distance between the median which is quartile two and quartile one if it's smaller so let's say that distance is smaller between those two since this is quartile two the distance is smaller than that distance therefore it will be right skewed and that's how you identify the shape using the quartile. The easy one as well if they are giving you the mean and the median in your question because if for example let's say we go back to one of the examples let's say we take this you are able to calculate as well the mean of this data set you know how to calculate the mean you store the values you calculate or you sum all of the values and divide by how many there are and that will give you your mean of this sample because it's just the sum of your observation divide by how many there are and then you will look at the distribution by saying if the mean and the median are the same then it is symmetric if the mean is less than the median if the mean is less than the median we say it is left skewed we did this on Saturday if the mean is bigger than the median or we can say if the median if the median is smaller than the mean which is the same as the mean is bigger than the median which is mean the same thing the mean will be bigger than the median in this instance then we will say this is positive or right skewed whereas this is negatively skewed negative or left skewed and if the mean and the median are the same if the mean is the same as the median we say it is symmetric symmetric cut symmetric cut and that's how you are also going to identify the range so you don't have to go and think of the quad house how do I say see all this and you can use the mean and the median if you have the data set if you are not given the data set that will give you the mean that will give you the mean, the quad house and all the values and you can find the distribution any other questions going back to our slide any questions if there are no questions there are not so many questions when it comes to the distribution but I have found one where we can end the box plot so there is one question look at it in one minute I'm going to ask one of you to give an answer the following measures can be obtained from a box plot except look at the options you don't have to answer now just now I'm going to ask okay have you found the one that is not a value of the box plot yes which one it should be number three that's the mode that's the mode the mode is the one that is not part of the box plot remember your box plot is your smallest value your box which has the quad house one quad house two and quad house three and the maximum value and from there you can calculate the IQR which is your interquartile range and we know that quad house two is also called the media the media and this is also called the lower quarter is also called the lower quarter and this is also called the upper quarter next exercise we have ten more minutes so there will be one more last exercise and then we take a ten minutes break we'll see each other at eight remember you will need to sort your data from lowest to highest first that is something I forgot totally hello should be answer I think are we done I think so not yet no no I think I'm not let's do it this way I'm going to give those who are still busy extra more time when we come back from the break because anyway we're going to do more exercises there is nothing more to do so it's just exercises after exercise so take your time and let's meet again do you want to come back at five two or at eight o'clock eight o'clock eight so those who are busy take your time do continue working at eight o'clock we will come back going to leave the screen up please make sure that you switch off your videos Tabile please turn off your video thank you one more minute I hope everybody is back while we wait for the rest to come back anyone with a question or you can just tell me how is today how are the sessions are you still alright so far so good so far so good yes like I said remember after today's session you should be able to answer some of the questions from your assignment and then tomorrow we will finish off with the probabilities and you should be able to answer all the questions for assignment one if you need help please don't hesitate to ask we're here to help welcome back it's eight o'clock we can now everybody has had a chance to do the exercise so someone volunteering who is volunteering nobody serious was it that difficult ah Sam are you going to answer all the questions today so go ahead Sam unmute I started by arranging the observation from lowest to the highest it should be three four six seven nine ten fourteen yes and twenty three so after that I counted how many that will be my N which is my number of observations they are eight alright then I started by finding the positions of quarter one two and three okay Q1 is N plus one over four which will be eight plus one over four that will be nine over four the answer is two point two five and I rounded it off to two and then Q2 N plus one over two which is called to nine over two is called to four point five so I left it there and I went to Q3 I'm sorry wait for me Q3 I said three into N plus one all over four which is called to three into nine over four that will be twenty seven over four oh sorry sorry sorry okay I'm writing it step by step okay okay I'm not going to assume that everybody knows math okay so that will be twenty seven over four yes and then the answer six point seven five then I rounded it off to seven okay then I got Q1, two and three so I know Q2 is my media so I wanted the mean the mean I added all the numbers and then divided them by eight and I got my sorry I was still busy changing the color you you were talking about the mean or the median I took about the median first okay so the median so the median value since I got four point five then I went to my observation the one that is in an ordered form then I counted four point five it landed between seven and nine so I said seven plus nine divided by two then I got eight the median which is Q2 you it's between seven and nine so you said seven plus nine divided by two sixteen divided by two sixteen divided by two which is equals to eight yes so then that's eight right then I went to the mean I added all the values and then divided them by eight and then the answer was eight the mean is the sum of all the values divided by n and the answer you get is eight yes right no I'm sorry the answer I got is nine point five the answer you got is nine point five is not eight not eight so you're adding four plus four plus fourteen plus six and divide them by eight and you get I got nine point five nine point five then I got Q1 the position of Q1 is true I went through my observations and I counted through the two as on four so therefore Q1 is equals to four the value of Q1 okay then I went through Q3 since I got since I got seven then I went to my observation and counted seven it landed on fourteen so the value for Q3 is fourteen okay so now you are able to answer the questions that are asked yes we're looking for the incorrect one number one the median you got it is right it's correct okay so that is correct the first quarter not the position but they want the first quarter they say it's four you got it as four yes the third quarter not the position but the quarter but it's fourteen which we got it as fourteen the mean which is the sum of all the values divide by how many they are you got it as nine point five which is the correct answer from there is the distribution symmetric no the distribution is not symmetric you should say is not symmetric because the value of your mean is not the value of your median because we calculated what the mean is and what the median is the mean is nine point five and the median is eight so therefore the data is good any question there are no questions then we can do more exercises the next exercise and next time can I have somebody else who is not same or whose name does not start with same or doesn't rhyme with same are we done are we done somebody still busy talk to me are you still busy I'm so busy when you are done let me know I'm done I'm done yes since you are done let's do the answer while you're still un-mute let's go okay so the data is already arranged in order being one to six so I worked out what q one is so it's n plus one divided by four which will equal to six plus one because n is equal to six because there is six values that gave me seven divided by four which equals to 1.75 and then rounding it up I said it equals to two so then I went up to the data set and then number two I put as q one already then I worked out q two which is n plus one divided by two which will equal my seven so I already added it there seven divided by two which equals to three and a half and then rounding that up I got four which the value four was my q two up in the data set anybody around when is the fractional because it's 0.5 what do you do you take the average I'm trying to tell you where you're going wrong because it's a fractional half it's located between the two values you're going to take the average of the two values so you're going to say three plus four divided by two which is seven divided by two and your answer will be 3.5 not four we don't round it up when it's 50 percent because it's 0.5 which is 50 percent it's 50 percent closer to three and 50 percent closer to four so you cannot decide that it's going to be four or it's going to be three so it has to be in the middle okay you are on the right track okay quarter three I went three three sorry three times n plus one divided by four which is seven times three divided by four which came out to 21 divided by four and that gave me an answer of 5.25 I made the same then mistake where I then rounded it up where I was then supposed to take the value of the two no because we round down so it remains as five we don't round it up okay five there and then my inter-quarter range but you didn't go find the values so we found one so we found that one is quarter that's quarter three we do find and then quarter two, quarter three you go to position five so that will be you know quarter three there okay okay and then my inter-quarter range is Q3 minus Q1 which is five minus three also minus two which gave me three if we answer the questions given to us okay I used the data that I previously had I said number two was are you highlighting to give me hey I said number two was wrong so number two is asking the value of quarter two is three so what was the value of quarter two the value is 3.5 yeah so this number two will be wrong the position we did find was 1.75 which is correct and the median we did find it's 3.5 because it's the same as quarter two which is correct the value of the third quarter we said it's five which is correct the inter-quarter inter-quarter is three any questions anybody who still unsure see it helps to speak out so that we are able to see where you going wrong we can correct you immediately and now you know you won't make that same mistake again yes thank you no problem you are welcome your next question I'm going to skip this one for now I'm going to go to the next one I'm going to skip that one I'm going to this one we've done this previously but I just want to highlight something here as you can see on this question it's related to what we did today but it's related to everything that we did the previous time you should be able to calculate the range of your data which is your highest value minus your lowest you should be able to calculate your inter-quarter range which is quarter one quarter three value minus quarter one you should be able to calculate the coefficient of variation remember it is coefficient of variation is your standard deviation divided by the mean we did this on the calculator the last time multiplied by a hundred which is what we did on Saturday the other thing that they are asking you here is the range and the inter-quarter range are measures of variations what we are doing today is the inter-quarter it's also part it is part of the measures of variation as well it's a continuation of what we started last week and yet they are also asking coefficient of variation is the measures of central tendency so you will have to go and check where did we discuss coefficient of variation as a measure of central tendency or as a measure of variation I cannot give you all the answers for your assignment as well but I can just point you to the right direction so this is one of your assignment question I think I just wanted to highlight those only option one is what we are doing today and option three option four that's what we are doing today okay going back to our question and I think this will take us to the end we have one minute actually to wrap up are we done? the absence of nobody saying anything we are done okay I am just going to give you the answer and you can compare my answers to your answers so we know what the quarter one position is our quarter one position we find it by using n plus one divide by four and we find the n plus one comma five because there are six it's six divide by four which it gives one comma five therefore the quarter one value will lie between two values one in position one and position two which is 44 plus 57 so therefore if we take the average of the two we get 57 we get divide by two we get 50 point five agree? yes and for quarter two we use n plus one divide by two there are six five it's six divide by two which then it is equals to three that is the position and if we count one two three it's 85 85 is our quarter three value sorry our quarter two value and quarter three three times n plus one divide by two six times three divide by two gives us oh divide by four sorry my bad divide by four gives us four point five and it means it lies between position number four and position number five so if we add 108 plus 206 divide by two we get 157 we can also check the distribution of the data because I can see the other question here says the distribution of the data by checking if for example the median minus Q1 value and Q3 minus the median the sign is less than therefore it is positive alright skewed if it's equal then it is symmetric greater than then it is left negative skewed so you're going to find the value is there and check the position answer there so if you take median value which is 85 and the quarter three value is 157 if you take 157 minus 85 you will find that the answer there you will get is 72 coming in the median which is 85 if you take 85 minus total one which is 15 point five the answer you will get here will be date so it's 85 minus what is what is the answer 85 minus 30 point five 80.5 85 minus 50.5 it's 34.5 34.5 so 34 if I change the color now let me do that 34 and 72 what sign will that be 34 is less than 72 sorry are we having connectivity issues I'm also battling to here I think it's frozen or something it is 108 plus 44 plus 206 plus 85 plus 57 equals to 500 divide by 5 which tells us the mean is equals to 100 so option one is incorrect the value of q1 not the position but the value it should be 50.5 yeah it says is 57 so therefore it's incorrect the position should be for q2 should be equals q2 the position of q2 is 3 and this says is 2 therefore it's incorrect the value of q3 q3 value is 157 so that is the correct answer and we know that because the sign there was less than which is positively skewed therefore that was incorrect should be able to answer the same question and do the interquartal range which is just the q3 minus q1 value and find what the value is if we go back to our question our q3 was 157 and our q1 was 50.5 7 minus 50.5 and therefore we get the answer of 157 minus 50.5 which is 106.5 but I guess that's not what they were asking us they were asking the question the interquartal range is equals to the range less than the range the interquartal will always be less than the range smallest value remember when we throw the box in between remember that is the smallest value that's q1 q3 that's the highest the highest value that's the highest value what the question was asking interquartal is the same as the range we know what the range is range is the highest value minus the lowest value so if I look at this the highest value is there and the smallest value is there so it cannot be equals to the interquartal range so the range cannot be equals to the interquartal range because the range interquartal range we calculated from year to year so this is IQ interquartal range whereas from there to there we calculate the range the interquartal range is always going to be smaller because it only looks at the quartals and when we calculated the values of your interquartals we can see that it was 106 and none of these values are correct so the only correct answer here is option number 2 in conclusion oh there's another exercise but this comes from your wake book so if you look at this they give you the quartals they give you the median they give you the mean you can also apply the same logic as this to answer the question oh you can use the measure of center location so if we go back you are giving the median and you are giving the mean so you can also find the distribution of your data okay in conclusion since I took your 15 more minutes what you have learned today is to find the quartal condition and the value of your data to calculate the interquartal range to identify the five number summaries and to also construct a box plot to know how the box plot is constructed and that concludes today session thank you for joining and thank you for coming if you have any other questions you can find me on my Unisa or you can find me on WhatsApp see you tomorrow between 12 and 2 when we do basic probabilities enjoy the rest of your night good night thank you thank you thank you


Hi guys, I hope you're doing well. Of course tu me kwa hapa kwenya listening party and right now you're having the man of the hour na zonu me kwa ni kwa elizia tu kwa api lakini finally sasa do you hapa? Exactly Kami na furayu kucheki munga iwi in the asu gili me kwa safi No ma safi sana but we'll get later at the time what exactly has been happening today? Yeah, so today was just a random decision I decided to let people in on a new song I'm dropping It's called Twerk So nimeshkuru sana nilikwanta kwa na yu first reaction of people which is very true because most people here are influencers I mean people who have very high influential domain na nimi ona reaction muko yun do nilikwanta kwa na manze So I give thanks was on my show ataku ki nyesha ni ini oto me shu love ya ni oni pula Wow, most of the time took it to a listening party ina kwa na ni either an EP or mostly an album but this one was very different ilikwa it's just one song, it's a single and bawa ina drop ilikwa aji adu kafikiri asa chana idea? Ono jami nili ona sharatu wa ziza azali ni shu, ini aze what are we doing different Tanzanians ona toa ata ngoma video YouTube bakish pigashere na wa say batu na pata sika na tuki drop ngoma ina kwa ni gumusa atu neshi the first reactions people need to know how what's the first reaction of this song to people so mi ilikwa ataku showcase iyo in this jam I felt like itai ini ingoma kaili sana ina dupowa so I was like lemi kwa the people who influence stuff in Kenya lemi see what they do and I believe when you came out there to the fans and believe ita kwa the same energy ta kwa toa trade ina joa ei manze Okay, of course umesima ilikwa ni a random decision but lazima piya kwa na finances kwa greena your team and everything how was it the preparation za haraka haraka it I first hope for I want to thank Taskar for umeshugulika mambo you know drinks kidogo kidogo and also like we managed to pull like you know it aki sa idea pandemo ja piya sisi it na shugulika vituza all people are gonna buy it and stuff you know it's just a synergy a working synergy that wanasa idea on my side ju you know we're independent artists to get view to offer our own pockets you know so wanasa idea na kwa easier load for us to do this and it's a win-win situation kuz na joa Taskar is a brand all about us ni wewe bring out the best in you na like to kihedu kama oktoberfest nezina kuja io nil di monata kasa na kupushout so calling them kwa opia nilu wambia in one weeks time ni bile na wambia kila na okukamu kubring this together like on auto miku niwa dream muko po asana do you think maybe this is something in you wa sanitun na wana faku embrace it's in every time maybe mutuna takakure song ama once in a while ana fanya kitu kama e e kuz I feel I feel to ko industry moja sisi wote na tukisho cold shoulders like mimi na wafu loegi kazi zen yu san na nana wana ga mkuna together ni such that even muneza tukwa certain form of content together you know ko usani ni kwangoma tu wasani wana pata nga tukwa shows you know but the fact that wasani wana neza pata na even in creation relaunching relaunching of songs ni ni na feelin na together ni singine po auto na pata belonging so yes vilo me sema ni kitu na feel ngeza ko po wa e it can't be done every day even me I can't be able to do it every day go dueling in ta fukaiu point but ni kitu po wa e nas idea say together neza auto na communicate you know kuna chaku wana cold energy amounting to each other and do industry to you na grow first to me skiza the song in a sound visually it's a great great song in any Bamba and we live piyama fans up and there it's a Bamba wana eza tawambia what do you think you did different in this particular song and yeah I just think we could experiment na nana jo yondo yondo ja ni ya mtu kamamsani ku try out new sound na ni kitu waku Bamba wa say kitu waku G Jibamba piya wajwa ingoma baze kia maalipa kutu maalipo chex zika bounce e no wajwa hili otomu pangia umbo kafla nasa pangia asuglishaiki tu lakini jo kenda e me ni kengiastu na me jam skia tuku twak e kaku wa lai e so ni si feel ni kitu different ni me do I was just in the moment you know kwa e view ku padaduku ukiwa grinding na do electu na do zambia ma fans to expect ni ni na piya when are we expecting to have it on our social like tomorrow tomorrow the song is dropping right and it's gonna be amazing it's gonna be crazy we want all the tiktok challenges ya ni ni nizi put alafu sasa ndeongoma e ikue global tuangizu ubi sasa muji kitu na akam na zale wale tia mtu amu expect for a remix ama for a watch so awana wale tia kuwa e manze ok maybe tukimalizia a ndovu ni ku of course tukaka kidogo kwa muziki tukegia kwenya entertainment and showbiz most of the ni me na watuingi sana me kujia paku support na mangeistu kwa e crowd yotia mtu ni me notice ni rafki ango piya a la itua cloudia na most people me kuwa kikuwa na pomoja na sema e endoshi me na kuwa je me na takuwa na takuwa ni bukitu se shubu kuwa niku tuwa clear ni ni ni manze ama show love ni besti angu sana ama show love na shkuru e manze mapenzi ni ni wei ukuwa soko ama cloudia na umtuwa kwa wena kuwa cloudia ni besti angu sana no mana me kama kusho love you know siwori na abeshte sana oto ane zai percivtofauti lakini sin ma besti sana mtu kawambali poa nimi ma besti mtu kawambali e like you know you know e na jitu e itu e ata manze ume kama kusho nani me ni bomba sana manze nimi kuwa na munga e na director trewa pa le freya sana so it's just that vibe of showing love to each other e ma maybe you can tell your fans what to expect na pia maybe you can thank them for always being there for you definitely na shkuru my fans people who want to ask them zikiangu want to like keep streaming our music na shkuru sana hindi na to support and as artists from the Kenyan side we ask that support Kenyan content nani let's push it regardless kuna harul kuna juchini we're still learning ourselves as an industry yeah because it's very hard to get like professional information when you are a young artist in Kenya you know kuna disconnectia knowledge but when you are a young artist and you are a young artist nani nani nani so na shkuru tu sana na pia na kuna hindi na kusho love na sisi nani kuna like 3-4 years max kwa industry kwa kwa kwa wengi majority so e yon dorenge taka e go out there even to the fans or keep supporting regardless of what this is how the same way we support our leads let's show the same love to our artists if you see what ay zekairupu ki jubuwa hii niya guys makuwa nandovini ku yung songu kitufu kufu chanel scorpahka streams, gwzikat ni però niya ni yu guzikat niye hii niya guys, till next time, bye! shukwa nga


That's tight! I'm not used to that from Blackstar.  How much did you say this goes for you? That's it? Congratulations, Blackstar. That sounds great. Hello, my name is Mendel and I proved this amp. Hi there. My name is Perfektor de Castro. Christian Kohler. Mendel Baytlay. Hunter. Colin from CS Guitars. Halle from Ship Your Tone. Andri Bina. Klenar Chilku. And Kiltz. I'm at 42 Gear Street. Somebody dragged me into this room. Gave me this beautiful, very evil looking 28 inch baritone guitar. I'm here with Blackstar today and they've said that this thing makes loud noises and I like that so we're going to see how it is.


And we're going to name 10 things that we learned from this past week, this past Sunday at least. The week isn't over yet. We got Monday night football tonight. Number one, the Lions will ruin playoff hopes. That is take away number one. Okay. They will not be making the NFL playoffs. They're not quite there yet as far as their talent level goes, but against the Packers and the Cardinals and the Broncos, there's are three games that they have at the end of the season. Those are three teams that will probably fight for playoff seeding. The Packers, one of the best teams in the NFL, you'd assume that they would compete with maybe the Arizona Cardinals to get the number one seed, to get that number one buy. Then you've got the Denver Broncos, who are also 3-0. But you'd expect them to fight for a playoff push in the AFC blood card race. The Lions, those three games, they're going to ruin the playoff hopes for those three teams. They could surprise people. They've been staying close in a lot of these games. And I think that when it comes down to if you're a fan of any one of those three teams, the Packers, the Cardinals, and the Broncos later on in the season, when you're fighting for that playoff spot, the Lions are going to ruin your dreams. Just remember this. Just bookmark this video. Week three take away, the Lions will ruin playoff hopes. Take away number two. Brian Flores is a good coach. And I say that because the amount of injuries that they've been having on the offensive line at the quarterback position, just on offense, on defense, Flores has still been able to stay somewhat, you know, keep the game close. In week one and week three at least, week one he got a one point victory over the New England Patriots. Week three went into overtime against the up and coming Las Vegas Raiders. Week two, you know, the Buffalo Bills are just incredible. But Brian Flores, with everything thrown his way, was able to coach a solid game. So Brian Flores, take away number two, he is a good coach. Take away number three, sticking on that Raiders and Dolphins game. The Raiders defense is great. Okay. They drafted Trayvon Mullin has been looking great. Casey Hayward, you probably don't know this, but going into week three, he had the highest pro football focus grade as far as coverage goes. Casey Hayward did. He got banged up, unfortunately, this past week. But Max Prosby has been playing at a high level as well. So the Raiders defense is actually very, very good. That is take away number three. Take away number four, Givante Williams is the future of the Denver Broncos. Melvin Gordon, yeah, 18 carries this past week. Okay. He's going to continue to get his touches. That's okay. But I'm talking about the future. Maybe it's towards the end of the season. Maybe it's next year. If they decide to move on with Melvin Gordon, Givante Williams is going to be great. If you were listening to that game between the Jets and the Broncos, you notice that the commentator was saying that Teddy Bridgewater said that Givante Williams reminds him of Alvin Camara. Everybody says that. Everybody said, people said that about Aaron Jones and they kind of, you know, mimic and mirror the play of Alvin Camara, but Givante Williams, the future. The next takeaway, the Chiefs, are they in trouble? They are last place in the AFC West. My takeaway on that and my take is don't worry, the Chiefs are okay. It's just, it's early on, it was a schedule, they faced the Ravens, they faced the Chargers who are kind of up and down, but also have the capability of upsetting some teams like they did against the Dallas Cowboys just last week. So for the people that are freaking out about the Kansas City Chiefs, do not freak out. That is the next takeaway. After that, the Steelers are set to miss the playoffs. I'm going to go ahead, I don't know if I want to go ahead and call it, but I think right now it's safe to say that the Steelers at least won't be winning the AFC North. So as far as making the playoffs, I don't know, but the AFC North, I think that goes in the hands of either the Baltimore Ravens or the Cleveland Browns. The next takeaway, the Bengals defense speaking of the AFC North is not bad. The Bengals defense is actually pretty good.  Yes, but I mean, this defense has been looking pretty good this year. Agree? Disagree? I like the Bengals defense this year. But speaking of defense, the next takeaway, Washington's defense has gone from being great to just above average. So they're not one of the top five defenses in the NFL now, I would say. Now they did face the Buffalo Bills high-powered offense, but then the week before that, the New York Giants weren't able to contain them on offense. Hey, I mean, I think the Washington football team defense is still great, but they have taken a step down, and now they are just merely above average. That's what I would say. We've got a couple more takeaways. Patriots offense, still a work in progress.  Look at the way that Matt Jones has been playing. And then we realized, OK, yeah, he's been looking great in preseason just because he's been playing against the second team and third team offenses or defenses. And they're still a work in progress. So I think they have the right idea with the two tight insets. I think they have the right idea of, OK, Jacoby Myers has just given them a lot of receptions. And Nelson Aglour and Kendrick Bourne could be these deep threats. I get it, still a work in progress, and it's going to be pretty tough against Tom Brady and the Tampa Bay Buccaneers this week. And then the last takeaway, the Rams are the best team in the NFL. I said it. This is everything that the Rams imagined when they traded for Matthew Stafford. They already have the defense. Now they just wanted to bolster the offense, and they felt like the only weak point at that point on offense was, unfortunately, Jared Goff. Not saying that he was bad, but he just wasn't great. And Matthew Stafford, his whole entire career, has been labeled as a player that has tendencies of being a good quarterback, but never making it to the promised land, never getting past the first round of the playoffs. Well, now you can expect that the Rams are going to get past the first round of the playoffs, maybe even get a first round by at this point. Because the Rams just top the defending Super Bowl champs and prove that they are the best team in the NFL. 10 takeaways to take away from this past Sunday from week three.


IMAGIN Niwe, Karibusana. Edi wala bhi with us today, but who have our nosome discussion here, a very good Friday evening. My name is Dereva Hilawe, welcome to the program. Now, first things first, ligi meisha. Ya, absolutely ligi meisha. First of all, let me start by congratulating Manchester City. Ya, okay. Ya, I mean, it's only right, you know. Give credit to its new, so it's only right that we congratulate Manchester City. Congratulations defending their title yet again. It's painful for the rest of us, but yes, the league is over. Now we look up for the rest, FA Cup is coming up tomorrow. Actually, actually, we'll be speaking about that and the PEP says winning is addictive to them. So they are hoping they will be winning. Ya, but anyway, that's something we'll get to much later as we wind up in the program. Okay. Let's talk about athletics and to bring to your knowledge, South Africa, or South Africa on Monday said it would lodge an appeal after Olympic champion, Kasta Semenya lost her case, challenging new rules forcing female athletes to regulate their testosterone levels. Semenya's case has provoked a furious debate across sports worldwide about gender and high paradrogenic athletes, those with differences of sexual development. And this is something actually that will be affecting some of our athletes. And that is Kenya's Olympic 800m bronze medalist, Margaret Inyaira Wambui, who now feels like her career is slipping away from her with no idea when or if she will be able to compete internationally again. Just because of how you created, how God made you, now some people somewhere, let me say who they are, the IWAF, they feel like these people have an extra power. Yes. And let me just put out this claim across. High school did Inyaira in high school at some point, she was good. Inyaira used to run. Was it a primary or you went to a mixed secondary school?  No, I went to a high school, a guys high school. They used to host lots of sports. So Inyaira used to come because I was in Inyairi region. So Inyaira was good. People who used to run, that 800 meters you do it like a 100 meter sprinter. Right. So it's sad to see now, especially when it is this close home to someone like me and Inyaira someone I know, you feel ouch, you feel ouch. But then I mean just it's a difficult scenario. You can't point out and say that we should run this this way and we should run this that way. Because both sides have a case to answer. They do and with Kasta Semenya, this is not the first time. There was also another time like two years ago again the case was on her that now that you are advantaged to other ladies, you shouldn't be competing. Then I was like if you feel like she's advantaged because of how she's created, then come up with a sport that fits her and then bring someone else like now we will be having Kasta Semenya and Inyaira from Kenya and see how it goes. See begs the question how many do you have, how many do you have that? They are so many because it is being said actually now when Inyaira who is 24 years old is one of the several staff female athletes affected by an international association of athletics which is the IWF ruling this month requires women with high levels of test rent to take medication to supply. Let me take you, let me give you my argument of how many do you have. Look at Michael Philps in swimming. They argue that he has a very big swing when it comes to swinging his arm during the freestyle and backstroke when it comes to the competitions. Now how many do you actually have like Michael Philps that are going to turn up and say now we are ready to compete as in by the time you get to that Michael Philps will have been retired. It's a scenario that by the way you can't call a name, you can't directly pinpoint something but you have a point. Actually for lack of a better word, he was normal for lack of a better word because they think this is not normal. Yes. So Hussein Boat used to run very fast, actually I think he still can run fast and now why didn't they say now Hussein Boat is running like nobody else, we should check him. You see usually we have like the tests, athletes and sportsmen and women will always go through tests. You have a test to see yes you run this, what is the level of test that you are producing, how do your ham hormones actually operate, how do they you put into MRI so that to directly and categorically say which age you are therefore you can't just forge your ages like initially. So I think with Hussein Boat it's purely that this guy is fast, he's just fast but with guys like Semenya Nyairera you know that's now it gets to another level where this guy is producing more in terms of hormones than the other females and that is where the advantage seems to come up. But in my view, in my view, my personal view not why to fight for this view. True. Sometimes there comes a time where you have to shun a few characters and a few individuals for the betterment of the larger community in my view. Alright but then people will be like you have discriminated these individuals just because of how they are created and remember advanced nations like the US where they value every single right of a human being they'll be like no actually I'm like where are they? Because they should be speaking of the rights of individuals because one day one time assuming Kasta Semenya will be like now you know what I'm changing my nationality I'm no longer South African I'm moving to US. Will the US defend her? Well certainly with what you've been seeing you obviously have to see the US will have to defend her and we can't pinpoint and say yes she's going to move. Every country has the obligation to defend its citizens. Even Kenya should actually come up and say we're defending our ladies something like that so it's a tough one by the way you just can't call. It's one of those conversations in sports where it's like the religion conversation nationally where you just like to shy away from that kind of a conversation because you do not you don't quite know where to put your stand you know it's hard. It's true but anyway I'm hoping that these people will sit down and their wisdom find it not right to discriminate anyone just because of how they are created if they have so much texture on and they can only run let them run. But now you see there's a difference between being talented to run and there's also a difference being talented and having an advantage because it makes no difference with someone who can run and then they are gifted to run faster like Hussein and then there's someone who is gifted to run but now they have some extra strength. But you see it's not the same. You see with Hussein Bolt it was like this person is actually gifted he's actually fast like his muscles move faster he has just adapted to moving fast.  I understand now genetically I am different we are not discriminating ladies and we're not saying this because they are women but because you want to understand the whole thing about the texture on and all that but anyway we're hoping that whatever decision that will come about it will favor just everyone. Let's move to summer transfers we have a very close window between yesterday 16th and then the 8th of August this month and after 6th place finished in the Premier League Manchester United is expected to try overhaul their squad and make changes that will enable them to challenge higher up the table next season and Manchester United executive vice chairman Edward said this week that he will use the club's financial muscle to help socially build following a turbulent season. It was a bad season for Manchester United and also to other teams just because of the players. Actually there was an argument why it was Manchester United failing after they signed a social to be the manager now for real because since he came in they never won and now the argument is we have the players the players are the bad ones. Do you see a change, a drastic change in Manchester United? First of all with the social argument it's pretty straight forward it's history, history is repeating itself. Look at Chelsea, Roberto de Matteo, interim manager, high flying, permanent manager we are almost fighting relegation you know I feel there is something to do with the mentality where just keep him as the interim manager where he's not sure of what his future is all about he's looking to deliver that is what I feel. Then once the season is finished let him start now a new season as the permanent manager to the transfers now with United See I was watching you say Mourinho yesterday and he was laughing his lungs out saying that you see the problem was not me it's true the problem was not me and I also don't think the problem is not the lack of depth in the United squad I mean you have Pogba in there you have Lukaku for lack of better time in there you have Mata, you have Lingard, you have Rashford, you have all these guys once you even if you bring in someone someone just spend something as Edwin would say muscles spend something and he comes and the mentality is still the same soka mostly you played mentally my director is on my ears because he belongs to Chelsea he says even if we took a social away from Manchester United or even we changed the whole team nothing will change as in Manchester United will remain that team that the perception of the public has it right now let's talk about your team where Shreika Alvaro Marates is not interested in returning to Chelsea after spending the second half of the season on loan at Atletico Madrid and he has declared that he will do everything in his power to remain with Los Rojiblancos while Hazard is said to be moving to Real Madrid look at it sad particularly the Hazards I mean we are not at Jakubali but if it has to happen it was bound to happen in time soon I think Marates is the only Spaniard striker who has flopped he came from a Spanish La Liga and flopped usually look at the interchange when guys come from Spain to England and from England to Spain when guys come to England most of them tend to flop it is true the English Premier League is very hard it's not your usual kind of league 7 teams that could possibly win the title so actually one of the strikers that actually did the best was Diego Costa when he came from Spain and actually did his thing and one exception from this other side but when you have guys coming from England going all the way to Spain they tend to deliver look at Garif Bel look at Luis Suarez guys who actually kind of deliver so the Marata story it's neither here nor there actually now this bit of saying he will do just anything he can to ensure he doesn't come back to Chelsea I'm like what happened to him you wouldn't say why would a player speak with such bitterness about the team they were for ok though he went on loan but then he kind of spoke like I hate that team that's the feeling I'm getting myself you would tend to feel that way that this character feels that he didn't get the applause that he required but look at what he did at Chelsea he wasted us he made us the laughing stroke I think he was leading with the highest number of misses he was leading with the highest number of offsides then it makes sense when he says I'm not going there because maybe the public and the fans that is they were against him well you may say that and also some sort of phobia these players know England is hard they know it's not easy they know you have real task alright so Hazard is said to be moving and he's the man who has helped Chelsea come from number 6 to where they are at the end of the season 48% of Chelsea goals have come courtesy of Hazard he has either assisted a goal he has scored a goal that's too much that's too much relying on one person it's sad personally I actually feel sad that we're going to have to Hazard his room but also let him relax kuna presha you go to real Madrid you will find a big ref building job there they have some kid from Brazil who can't remember his name who will be challenging for his left midfield position you have Kina Gareth Bale you have Kina Isco you see it's not always a bed of roses he is a talented player yes there is a squad but he is a talented player now it's single it's single hundredly depends on him alright now Liverpool Roboto Fominio is a target is a target for Paris since jim and Bolstoma to Shell as he aims to bolster his attacking opinions in order to compete for a champions league title next season so Fominio has enjoyed another fine campaign at Liverpool they have performed and we hoping come fast June netting 16 times providing 7 assists while contributing selflessly to combine on one Europe's dead list dead list alongside Muhammad Salah and Sadio Mani just goes to show you what kind of player he is when he is giving the right service you know Fominio is growing to be one of the best nines in the world certainly not yet the best nine currently the best nine I think is Mario Manzukic but as a nine Fominio is growing you look at the lethal options that he has up front you have guys like Salah you have guys like Mani you have now guys like Keita who just supply right behind him and it takes time it would take time for him to to still grow and get it to the peak that he actually requires you look at where he is going PSG you see I also don't think players look at it from a point of view where will I get playing time like I used to get at Liverpool you are going to PSG to meet Neymar you are going to PSG to meet Kavani you know will I get am I going to be picked starting 11 as regularly as I am being picked in England in Liverpool Joggen Klopp has had a a solid squad that he actually has molded over the past 3-4 years and if I were Fominio I would basically wait for one more season just to see whether we are going to take this thing but again not stay too long because you look at the hair story stay too long flop at the very end but he still remains to be the best you will remember him now Asanom has seeds to lose Aaron Ramsey to Juve Peter Cech is retiring and now Wellbeck after being out of the season for a very long time he is now released for transfer on the radio is listening to Arsenal and Arsenal's worries are just more than nimingisana you lose Ramsey one of the most experienced players in that squad right now who else are you remaining with does Matasaka still play you don't know there's we have guys in the left back in a ballerina all those guys you you're remaining with a squad that has has no depth but Aaron Ramsey is a good midfielder holding midfielder will just pick the right passes up front and they're going to miss him they're going to miss him however they are scouting former Manchester United player Memphis Depay flopped at United but he's been outstanding where he's been for the past couple of seasons and they have been scouting him just to basically get to see whether they can get him back to England and to the Emirates let's hope her and see how that goes with the the upcoming Surida was with La Gazette and Obameyang today actually on Instagram at about during midday Alexander La Gazette actually tweeted from the Emirates and the training ground from the Emirates and said you know what this is my garden just to just to show people that I'm not going anywhere I'm here I'm here to stay this is my garden end of quote all right so Czech was your guy at some point as he is now retiring what do you make of him at this particular point an amazing guy an amazing keeper one of the best keepers you'll ever get obviously age is catching up when age catches up you start to flop you start to to make mistakes that are here north there are you know some too surety surety mistakes because age is catching up and the guys you're playing with are your children are your sons but Czech is actually a nice keeper has been a nice keeper tried to move on Arsenal and I think he actually helped to mold the mentality of that squad because sometimes in a squad you actually require a team that has a leader has a leader in the dressing room has someone who will say no we're not going to do this we're going to do this and I think that has been checked to Arsenal for the past couple of seasons true all right now we have to finish with this one thing that will be happening the FA finals where Manchester City Manager Pep Guardiola says winning is so addictive as the side go in such of an unprecedented domestic tremble on Saturday which is tomorrow they face Watford in the FA Cup final at Wembley Watford and Wolves are the best teams outside of the top 6 they were consistent teams and now if City wins at Wembley having already qualified for the Champions League then Wolves as the team who finished 7 in the Premier League will qualify for Europe for the first time since 1980 more to that they would go into the second qualifying round of the Europe League there are teams that are of concern now that would see United now the Manchester United who finished 6 in the Premier League qualify for the Europe League group stages so if now the Wolves Watford wins against Man City United would go into the second qualifying round which starts on 25 July you know I'm liking the way people are taking it away from Watford it's a people are taking it away from Watford and this is a final a final has nothing to do with form we just turn up and play our thing 2014 let me remind you FA Cup final 15 minutes in Hal City vs Arsenal Hal City 2 Arsenal nil 15 minutes people are shocked yes that's what can happen in a final a final has nothing to do with form take again nothing from Watford they came from behind to beat Wolves I don't like the way people are taking it away from Watford but yes this is City arguably the best team in Europe now assemble a good squad they have IUF a band on their head I had something like that coming up so let's just hope for the best but I think more Watford are going to put in a fight but City might end up winning it it would be a big congratulatory remark to Wolves now making it to Europe it's wow it's big that's big for them alright so one team which is now their neighbors Manchester United their fate is at stake if they lose trouble comes in so I don't know what will be the fate of the Manchester United after tomorrow's match against Manchester City against Watford we will watch and see so who is taking home sadly City but Watford will put in a fight alright they will struggle but we will see it's homestretch for this league as the other league coming soon we will wait and see whether this some of these teams will come up many thanks for coming we are out of time oh thank you we appreciate you coming and you are a true fan I see niveni tujata jata mambo ya Chelsea no but when you are far I think that's where are you where are you as a united fan look at yourself alright I'm humbly ashamed many thanks for keeping us company back home he has been my guest Brian Mushiri I will see you on Monday keep it Y254 coming up next you will be entertaining my name is Dereva Hillary have a good night