Chapter 2, Problem R2.4RE

(a)

To determine

To compute:The percent of observation have less than 13.

Answer to Problem R2.4RE

The 92 percent of observation have values less than 13.

Explanation of Solution

Given:

As per the given graph,

  $P\left(X>13\right)=0.08$

Calculation:

The percent of observation have values less than 13, can be calculated as:

  $\begin{array}{c}P\left(X<13\right)=1-P\left(X\ge 13\right)\\ =1-0.08\\ =0.92\end{array}$

Thus, the required answer is 0.92.

(b)

To determine

To conclude:The median of the given graph.

Answer to Problem R2.4RE

The approximate location of the median, is 7.

Explanation of Solution

Describe:

Since, the given graph is right skewed. It means that mode is greater than median and median would be greater than mean.

The range of distribution is 0 to 20. Consider that mean is approximate 10, which means that median is less than 10. Therefore, the approximate location of the median, is 7.

(c)

To determine

To compute:The mean of the given graph.

Answer to Problem R2.4RE

The approximate location of the mean is 10.

Explanation of Solution

Describe:

Since, the given graph is right skewed. It means that mode is greater than median and median would be greater than mean.

The range of distribution is 0 to 20. Therefore, the mean is approximate 10.