Question

At a large high school, students took a series of advanced tests. Each test covered a different subject, had a different number of items, and a different mean and standard deviation. One of the students, Marquita, wants to see on which tests she performed the best relative to the other students. Which of the following methods should she use?

A) Compare her total score on each test

B) All of the above lead to the same conclusion

C)Compare her standardized z-score on each test

D) Compare her percent correct for each test.

Answer 1

Solution:

Correct option is

C)Compare her standardized z-score on each test

Explanation :

Each test covered a different subject, had a different number of items, and a different mean and standard deviation.

In this direct comparison is not right.

We standardized all the scores using corresponding mean and standard deviation.

Standardized scores have same mean 0 and standard deviation 1.

z score = (raw score - mean) / standard deviation

Correct option is

C)Compare her standardized z-score on each test