For a sample of n = 30 scores,a score that is 6 points above the mean has a z-score of z = 1.50.What is the sample standard deviation?
A)4
B)6
C)8
D)12

Question

Quizplus · Accepted Answer

The formula for calculating a z-score is z = (X - μ) / σ, where X is the score, μ is the mean, and σ is the standard deviation. Rearranging the formula to solve for σ gives σ = (X - μ) / z. Given that z = 1.50 and the score is 6 points above the mean, we substitute these values into the rearranged formula to get σ = 6 / 1.50 = 4.

For a Sample of N = 30 Scores,a Score That