Chapter 2.2, Problem 77E

To determine

To find: Whether the distribution of Michigan tuitions is approximately normal or not.

Answer to Problem 77E

Not, it is not approximately normal.

Explanation of Solution

Given:

The numerical summaries are:

  

Concept used:

For the distribution to be normal, the distance of minimum and maximum value must be same from the mean.

Calculation:

Here, the distance of maximum and minimum value from the mean can be calculated as:

  $\begin{array}{c}\text{Distance = Maximum value }-\text{ Mean}\\ \text{=30823-10614}\\ \text{=20209}\end{array}$

Similarly,

  $\begin{array}{c}\text{Distance = Minimum value }-\text{ Mean}\\ \text{=10614-1873}\\ \text{=8741}\end{array}$

Since, the distance is not same. It cannot be said that the provided distribution is approximately normally distributed.