Question

A set of exam scores are reported as X values and z-scores. On this exam a score of X=75 and corresponds to a z-score of z=1.00 and X=60 and corresponds to a z-score of z=-0.50. What are the values for the mean and the standard deviation for this exam?

Answer 1

We know that:\[z=\frac{ x-\mu }{ \sigma}\rightarrow \mu +z·\sigma=x\]With the given information you can solve an equation system like:
\[\mu+1·\sigma=75\]\[\mu-0.5·\sigma=60\] Can you solve this?

Answer 2

Thank you so very much.....It was a lot easier for me to solve it this way