Chapter 2, Problem R2.2RE

a.

To determine

To find: The percentile at which the student watched TV for 7 hours last week.

Answer to Problem R2.2RE

The percentile is 57.

Explanation of Solution

Given:

The plot is:

  

It has been provided that the amount spent by the student is 7 hours per week. To find the percentile, construct a vertical line that cuts the x -axis at 19.50. Now, construct a horizontal line for the intersection of the vertical line.

It could be seen that both the line intersecting at 57^th percentile.

Thus, the required percentile is 57.

b.

To determine

To find: The IQR of the figure.

Explanation of Solution

From the provided plot, the third quartile and first quartile are 11 and 2 respectively.

Thus, the interquartile range is:

  $\begin{array}{c}IQR=Q_3-Q_1\\ =11-2\\ =9.00\end{array}$

Thus, the required value is 9.00.