Question

The ACT is an exam used by colleges and universities to evaluate undergraduate applicants. The test scores are normally distributed. In a recent year, the mean test score was 21.1 and the standard deviation was 5.0. Find the z-score for the student who scores a 15.

Answer 1

- 0.40666

Explanation:

Given that:

Mean, m = 21.1

Standard deviation, s = 5.0

Score, x = 15

Zscore formula :

Zscore = (x - m) / s

Zscore = (15 - 21.1) / 15

Zscore = - 6.1 / 15

Zscore = - 0.40666