Question

If the mean of a given dataset is

42 and the standard deviation is
4, where will a majority of the
data lie?

Answer 1

A majority of the data will lie between 38 and 46.

Explanation:

It can be said that a majority of the data of a distribution lies within 1 standard deviation of the mean.

In this question:

Mean of 42, standard deviation of 4.

42 - 4 = 38

42 + 4 = 46

A majority of the data will lie between 38 and 46.