Chapter 4, Problem AP1.13CPT

To determine

To select the best option from the multiple choice question according to the given question.

Answer to Problem AP1.13CPT

Option (b) is correct.

Explanation of Solution

Let us determine the total frequency first:

  $5+24+45+38+19+7+2=140$

The median will be the average of ${70}^{th}\text{and }{71}^{st}$ value. And since the frequency of the first categories is $5+24=29$ and since the frequency of the first three categories is $5+24+45=74$ , the ${70}^{th}\text{and }{71}^{st}$ value lie in the third category thus, the median will be between $20\text{ and }30$ minutes.

And also we know that the distribution is right skewed and therefore the mean is larger than the median.

Thus, option (b) is the correct option.