Question

A set of data has a mean of 0.5 and a standard deviation of 0.01. A data point of the set has a z-score of 2.5. What does a z-score of 2.5 mean?

Answer 1

A z-score of 2.5 corresponds to a data point $x$ such that

$2.5=\dfrac{x-0.5}{0.01}\implies x=0.525$