Question

A national achievement test is administered annually to 3rd graders. The test has a mean score of 100 and a standard deviation of 15. If Jane's z-score is 1.20, what was her score on the test? ​

Answer 1

Step-by-step explanation:

X= Z-SCORE * STANDARD DEVIATION + MEAN

=1.20(15)+100

=118

Answer 2

Given:

mean score of 100 and a standard deviation of 15

• Jane's z-score is 1.20

• Let score on the test is x

• Here Z-score = 1.20

       standard deviation = 15

       Mean = 100

We have

x = Z-score × standard deviation + mean

x = 1.20 × 15 + 100

x = 18 + 100

x = 118

Hence the her score on the test is 118