Question

A z score of +1.6 represents a value how many standard deviations above the mean?

Answer 1

`Z` score of `+1.6` represents a value `+1.6` times standard deviations above the mean.

Explanation:

A `Z`-score is calculated as `(x-mu)/sigma`, where `mu` is mean and `sigma` is standard deviation. Such a score assumes that the distribution is normal.

It is apparent that if a value `x` is at mean, its `Z` score is `0`. and any value above it gives a positive `Z` and a value below mean indicates negative `Z`. Further as `x=mu+zsigma`, indicates that for a particular `Z`-score, if it is positive it is `zxxsigma` (i.e. `Z`-score times standard deviation) above or if it is negative it is `zxxsigma` below mean,

As such, `Z` score of `+1.6` represents a value `+1.6` times standard deviations above the mean.