### Database Schema:
CREATE TABLE institution_grads (
	unitid	INTEGER	NULL,
	year	INTEGER	NULL,
	gender	TEXT	NULL,
	race	TEXT	NULL,
	cohort	TEXT	NULL,
	grad_cohort	TEXT	NULL,
	grad_100	TEXT	NULL,
	grad_150	TEXT	NULL,
	grad_100_rate	TEXT	NULL,
	grad_150_rate	TEXT	NULL,
	foreign key (unitid) references institution_details (unitid)
);

CREATE TABLE state_sector_grads (
	stateid	INTEGER	NULL,
	state	TEXT	NULL,
	state_abbr	TEXT	NULL,
	control	TEXT	NULL,
	level	TEXT	NULL,
	year	INTEGER	NULL,
	gender	TEXT	NULL,
	race	TEXT	NULL,
	cohort	TEXT	NULL,
	grad_cohort	TEXT	NULL,
	grad_100	TEXT	NULL,
	grad_150	TEXT	NULL,
	grad_100_rate	TEXT	NULL,
	grad_150_rate	TEXT	NULL,
	grad_cohort_ct	INTEGER	NULL,
	foreign key (state) references institution_details (state),
	foreign key (stateid) references state_sector_details (stateid)
);

CREATE TABLE state_sector_details (
	stateid	INTEGER	NULL	PRIMARY KEY,
	state	TEXT	NULL,
	state_post	TEXT	NULL,
	level	TEXT	NULL	PRIMARY KEY,
	control	TEXT	NULL	PRIMARY KEY,
	schools_count	INTEGER	NULL,
	counted_pct	TEXT	NULL,
	awards_per_state_value	TEXT	NULL,
	awards_per_natl_value	REAL	NULL,
	exp_award_state_value	TEXT	NULL,
	exp_award_natl_value	INTEGER	NULL,
	state_appr_value	TEXT	NULL,
	state_appr_rank	TEXT	NULL,
	grad_rate_rank	TEXT	NULL,
	awards_per_rank	TEXT	NULL,
	foreign key (state) references institution_details (state)
);

CREATE TABLE institution_details (
	unitid	INTEGER	NULL	PRIMARY KEY,
	chronname	TEXT	NULL,
	city	TEXT	NULL,
	state	TEXT	NULL,
	level	TEXT	NULL,
	control	TEXT	NULL,
	basic	TEXT	NULL,
	hbcu	TEXT	NULL,
	flagship	TEXT	NULL,
	long_x	REAL	NULL,
	lat_y	REAL	NULL,
	site	TEXT	NULL,
	student_count	INTEGER	NULL,
	awards_per_value	REAL	NULL,
	awards_per_state_value	REAL	NULL,
	awards_per_natl_value	REAL	NULL,
	exp_award_value	INTEGER	NULL,
	exp_award_state_value	INTEGER	NULL,
	exp_award_natl_value	INTEGER	NULL,
	exp_award_percentile	INTEGER	NULL,
	ft_pct	REAL	NULL,
	fte_value	INTEGER	NULL,
	fte_percentile	INTEGER	NULL,
	med_sat_value	TEXT	NULL,
	med_sat_percentile	TEXT	NULL,
	aid_value	INTEGER	NULL,
	aid_percentile	INTEGER	NULL,
	endow_value	TEXT	NULL,
	endow_percentile	TEXT	NULL,
	grad_100_value	REAL	NULL,
	grad_100_percentile	INTEGER	NULL,
	grad_150_value	REAL	NULL,
	grad_150_percentile	INTEGER	NULL,
	pell_value	REAL	NULL,
	pell_percentile	INTEGER	NULL,
	retain_value	REAL	NULL,
	retain_percentile	INTEGER	NULL,
	ft_fac_value	REAL	NULL,
	ft_fac_percentile	INTEGER	NULL,
	vsa_year	TEXT	NULL,
	vsa_grad_after4_first	TEXT	NULL,
	vsa_grad_elsewhere_after4_first	TEXT	NULL,
	vsa_enroll_after4_first	TEXT	NULL,
	vsa_enroll_elsewhere_after4_first	TEXT	NULL,
	vsa_grad_after6_first	TEXT	NULL,
	vsa_grad_elsewhere_after6_first	TEXT	NULL,
	vsa_enroll_after6_first	TEXT	NULL,
	vsa_enroll_elsewhere_after6_first	TEXT	NULL,
	vsa_grad_after4_transfer	TEXT	NULL,
	vsa_grad_elsewhere_after4_transfer	TEXT	NULL,
	vsa_enroll_after4_transfer	TEXT	NULL,
	vsa_enroll_elsewhere_after4_transfer	TEXT	NULL,
	vsa_grad_after6_transfer	TEXT	NULL,
	vsa_grad_elsewhere_after6_transfer	TEXT	NULL,
	vsa_enroll_after6_transfer	TEXT	NULL,
	vsa_enroll_elsewhere_after6_transfer	TEXT	NULL,
	similar	TEXT	NULL,
	state_sector_ct	INTEGER	NULL,
	carnegie_ct	INTEGER	NULL,
	counted_pct	TEXT	NULL,
	nicknames	TEXT	NULL,
	cohort_size	INTEGER	NULL
);

### User's Query:
What is the average SAT value for incoming students in all of the schools located in the state with the lowest state appropriations to higher education in fiscal year 2011 per resident?

### Extra Knowledge:
average = DIVIDE(SUM(med_sat_value), SUM(chronname)); SAT value for incoming students refers to med_sat_value; lowest state appropriations to higher education in fiscal year 2011 per resident refers to MIN(state_appr_value);
SELECT AVG(t1.med_sat_value) FROM institution_details AS T1 INNER JOIN state_sector_details AS T2 ON t1.state = t2.state ORDER BY t2.state_appr_value LIMIT 1