One characteristic measured about high schools is the percent free lunch, which

Question

One characteristic measured about high schools is the percent free lunch, which is If stratified random sampling with proportional allocation is used to select a sample the percentage of the student body that is eligible for free and reduced-price lunches. The top 100 schools, grouped according to their percent free lunch, is as percent-free-lunch value of Os x 107 follows. of 25 high schools, how many would be selected from the stratum with a Round up to the nearest integer.) Percent free Number of top 100 lunch (x) ranked high schools 10s x

Explanation / Answer

Percent Free Lunch(x)

Number of top 100

ranked high schools

Stratified Sample with proportional allocation

0

10

52

13

10

20

18

4.5

20

30

12

3

30

40

9

2.25

40

100

9

2.25

Hence 13 schools will be selected out of 100 with stratified sampling with proportional allocation such that Percent free lunch (x) is between 0 and 10.

Percent Free Lunch(x)

Number of top 100

ranked high schools

Stratified Sample with proportional allocation

0

10

52

13

10

20

18

4.5

20

30

12

3

30

40

9

2.25

40

100

9

2.25

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