Question

Standardized tests: In a particular year, the mean score on the ACT test was 20.4 and the standard deviation was 3.7. The mean score on the SAT mathematics test was 492 and the standard deviation was 123. The distributions of both scores were approximately bell-shaped. Round the answers to at least two decimal places. Part: 0 / 40 of 4 Parts Complete Part 1 of 4 (a) Find the z-score for an ACT score of 26. The z-score for an ACT score of 26 is .

Answer 1

1.51

Explanation:

Given that :

ACT Mean score (m) = 20.4

ACT standard deviation (σ) = 3.7

The Zscore for an ACT score of 26:

Zscore = (score - mean) / standard deviation

Zscore = (26 - 20.4) / 3.7

Zscore = 5.6 / 3.7

Zscore = 1.5135135

Zscore = 1.51 (2 decimal places)