If an entire population with μ = 60 and s = 8 is transformed into z-scores,then the distribution of z-scores will have a mean of ____ and a standard deviation of ____.
A)0 and 1
B)60 and 1
C)0 and 8
D)60 and 8 (unchanged)

Question

If an entire population with μ = 60 and s = 8 is transformed into z-scores,then the distribution of z-scores will have a mean of ____ and a standard deviation of ____.​
A)0 and 1​
B)​60 and 1
C)​0 and 8
D)​60 and 8 (unchanged)

Quizplus · Accepted Answer

When a population is transformed into z-scores, its mean becomes 0 and its standard deviation becomes 1. This is because the formula for z-scores involves subtracting the mean and dividing by the standard deviation, essentially standardizing the data. So regardless of the original mean and standard deviation of the population, the distribution of z-scores will always have a mean of 0 and standard deviation of 1.

If an Entire Population with μ = 60 and S