Let's say a student scored 33 on a math achievement test for which the mean was 43 and the standard deviation was 10. Judging on the basis of this performance, what score would you predict for her on a standardized test for which the mean is 100 and the standard deviation 14?
A) 114
B) 77
C) 86
D) 110
E) 90

Question

Quizplus · Accepted Answer

The student's score is 1 standard deviation below the mean on the math achievement test (43 - 33 = 10, which is the standard deviation). To predict her score on the standardized test, we apply the same position relative to the mean, which is 1 standard deviation below the mean of 100. Since the standard deviation of the standardized test is 14, her predicted score would be 100 - 14 = 86.

Let's Say a Student Scored 33 on a Math Achievement