The distribution of certain test scores is a nonstandard normal distribution with a mean of 60 and a standard deviation of 4. What are the values of the mean and standard deviation after all test scores have been standardized by converting them to z scores using $z = ( x - \mu ) / \sigma$ ?
A) The mean is 10 and the standard deviation is 100.
B) The mean is 1 and the standard deviation is 0.
C) The mean is 0 and the standard deviation is 1.
D) The mean is 100 and the standard deviation is 10.

Question

Quizplus · Accepted Answer

When scores are standardized to z-scores, the mean becomes 0 and the standard deviation becomes 1.

The Distribution of Certain Test Scores Is a Nonstandard Normal z=(x−μ)/σz = ( x - \mu ) / \sigmaz=(x−μ)/σ

The Distribution of Certain Test Scores Is a Nonstandard Normal $z = ( x - \mu ) / \sigma$