representative value or an extreme value, Mathematics

A population forms a normal distribution with a mean of μ=80 and a standard deviation of o=15. For every samples, compute the z-score for the sample mean and determine whether the sample mean is a typical, representative value or an extreme value for a sample of this size.

a.    M=84 for n=9 scores

b.    M=84 for n=100 scores

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