Question

Normal highway driving? The dot plot shows the EPA highway gas mileage estimates in miles per gallon (mpg) for a random sample of $21$ the model year $2018$ midsize cars.$11$ Explain why this distribution of highway gas mileage is not approximately Normal.

Short answer

The distribution has been skewed to the right instead of roughly symmetric.

Step-by-step solution

Given information

Concept

A dot plot is a graphical display of data using dots.

Explanation

The symmetric nature of the Normal distribution is one of its characteristics.

The distribution in the dot plot is skewed to the right; we can also see that most of the dots in the dot plot are to the left, with a tail of less common values to the right.

We know that

The Normal distribution should be symmetric.

And

The distribution is biased to the right in this case.

We can say

This distribution is not approximately the Normal distribution.