A student received a z score of 1 on a test of English as a Second Language and the distribution of test scores on that test was normal.This same student received a z score of 1 on another test of English as Second Language and the distribution of test scores on this second test were highly skewed.In all probability,
A) these two standard scores mean the same thing.
B) the T-scores on both test would be equal to 80.
C) the student speaks English better than many native-born Americans.
D) these two standard scores do not mean the same thing.

Question

Quizplus · Accepted Answer

A z score of 1 has a different meaning depending on the distribution it is derived from. In a normal distribution, a z score of 1 corresponds to being 1 standard deviation above the mean. However, in a skewed distribution, a z score of 1 may not correspond to the same deviation from the mean. Therefore, the two standard scores do not necessarily mean the same thing.

A Student Received a Z Score of 1 on a Test