A person's raw score is 6 points below the mean and has a z-score of -2. What is the standard deviation for that distribution?
A) 12
B) 9
C) 3
D) -12

Question

Quizplus · Accepted Answer

The z-score formula is z = (X - μ) / σ, where X is the raw score, μ is the mean, and σ is the standard deviation. Given z = -2 and X is 6 points below the mean, we substitute into the formula: -2 = (-6) / σ. Solving for σ gives σ = 3.

A Person's Raw Score Is 6 Points Below the Mean