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Results of a Department of Education survey of SAT test scores in 22 states show

ID: 3362506 • Letter: R

Question

Results of a Department of Education survey of SAT test scores in 22 states showed the following results 9 states had an average composite test score of at least 1000 during the past 3 yr. 15 states had an increase of at least 10 points in the average composite score during the past 3 yr 8 states had both an average composite SAT score of at least 1000 and showed an increase of at least 10 points during the past 3 yr. (a) How many of the 22 states had composite scores of less than 1000 and showed an increase of at least 10 points over the 3-yr period? states (b) How many of the 22 states had composite scores of at least 1000 and did not show an increase of at least 10 points over the 3-yr period? states

Explanation / Answer

Solution:

Given,

total number of states = 22

No. of states that had an average score atleast 1000 = 9

No. of states that had an increase atleast 10 points = 15

No. of states that had an average score atleast 1000 and an increase atleast 10 points = 8

( a )

No. of states that had an average score less than 1000 and an increase atleast 10 points

over 3 year period = 15 -8 = 7

( b )

No. of states that had an average score less than 1000 and not shown an increase atleast 10 points

over 3 year period = 9 -8 = 1

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