Q. 3.127 - Elementary Statistics

Question

The data set has size$50$ . Approximately how many observations lie within one standard deviations to either side of the mean? 

Step-by-Step Solution

Answer

The observations that  lie within one standard deviations to either side of the mean approximately are $34$

Step 1: Given information

We are given that data set has size $50$

Step 2: Explanation

Here we  will use Empirical Rule , for normally distributed random variable, $68\%$ of the measures are within two standard deviation of the mean.

We are given the size of data set to be$50$  , as here distributions are normal ,

So we get ,$0.68\times 50=34$

Approximately,$34$ observation lie within two standard deviations of the mean.