Question

The data set has size $40$. Approximately how many observations lie within two standard deviations to either side of the mean?

Short answer

The observations that lie within two standard deviations to either side of the mean approximately are$38$.

Step-by-step solution

Given information

We are given that data set has size $40$.

Explanation

Here we will use Empirical Rule , for normally distributed random variable, $95\%$of the measures are within two standard deviation of the mean.

We are given the size of data set to be$40$ , as here distributions are normal ,

So we get ,$0.95\times 40=38$

Approximately,$38$observation lie within two standard deviations of the mean.