Chapter 11.3, Problem 20E

(a)

To determine

To Find: The comparison for the number of songs that is downloaded by the group of the freshmen to the number of songs downloaded by the sophomores.

Answer to Problem 20E

The median and the IQR are most appropriate measure of the central tendency and the spread.

Explanation of Solution

Given:

The survey size: 60; minimum: 200; maximum: 24(M): I st quartile: 640: median: 1670: 3rd quartile: 2150: mean: 1480; standard deviation: 5(X)

Calculation:

The box and the whisker plot is shown in Figure 1

  

Figure 1

Since, the distribution of the freshmen is skewed to the left and it is not symmetric this shows that the median and the IQR are most appropriate measure of the central tendency and the spread.

(b)

To determine

To Find: The reason why median is greater than the mean for the group of the freshmen.

Answer to Problem 20E

The distribution is skewed to the left and the median is more than the mean that is why the median is greater than the mean for the group of the freshmen.

Explanation of Solution

Calculation:

From the data in part (a) the distribution is skewed to the left and the median is more than the mean that is why the median is greater than the mean for the group of the freshmen.