Problem

Test Scores. Consider the following table comparing the grade averages and mathematics SAT...

Test Scores. Consider the following table comparing the grade averages and mathematics SAT scores of high school students in 1988 and 1998.

 

% Students

SAT Score

 

Grade Average

1988

1998

1988

1998

Change

A+

4

7

632

629

-3

A

11

15

586

582

-4

A-

13

16

556

554

-2

B

53

48

490

487

-3

C

19

14

431

428

-3

Overall average

  

504

514

+ 10

       

Source: Cited in Chance, Vol. 12, No. 2,1999, from data in New York Times, September 2, 1999.

a. In general terms, how did the SAT scores of the students in the five grade categories change between 1988 and 1998?


b. How did the overall average SAT score change between 1988 and 1998?


c. Explain the apparent inconsistency in these results.

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