Question

A sample with mean of 85 and SD of 12 is transformed into z-scores. After the transformation, what are the values for the mean and standard deviation for the sample of z-scores

Answer 1

Answer:

The value remain unchanged.

Step-by-step explanation:

By Z score, we mean:

Z = $\frac{x-\mu}{\sigma}$, if we substitute the given values of mean and standard deviation, we obtain the z score value. That is,

Z =  $\frac{85 - 0}{12}$ = 85/12 = 7.083333.

NB: We assume that mean and standard deviation are in the same units.