Chapter 0.9, Problem 8E

To determine

To find:

The minimum, lower quartile, median, upper quartile, and maximum of each data set.

Answer to Problem 8E

  $75\%$ Of states have a mean score that is less than $27.7$

Explanation of Solution

Given:

The table is

Concept used:

The range is the difference between the highest and lowest value.

The variance is the average squared deviation from the mean.

The standard deviation is the average deviation from the mean.

Calculation:

Since the minimum is $17.8$

This means that the lowest mean score for a state is $17.8$

Since the maximum is $22.7$

This means that the highest mean score for a state is $22.7$

The lower quartile being $20.4$

This mean that $25\%$ of states have a mean score that is less than $20.4$

The median being $21.4$

That means $50\%$ of states have a mean score that is less than $21.4$

The upper quartile being $27.7$

This mean that $75\%$ of states have a mean score that is less than $27.7$