A set of scores has a σ = 4. Susan's score was 93 which converted to a z-score of +2.00. What was the mean of the distribution?

Name: A set of scores has a σ = 4. Susan's score was 93 which converted to a z-score of +2.00. What was the mean of the distribution?
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Question

Quizplus · Accepted Answer

Z-score formula: z = (x - μ) / σ

Given that Susan's z-score is 2.00 and the population standard deviation (σ) is 4, we can find her score (x):

2.00 = (93 - μ) / 4

8 = 93 - μ

μ = 93 - 8 = 85

Therefore, the mean of the distribution is 85.

A Set of Scores Has a σ = 4