Concept explainers
(a)
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.
(a)
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 Find: The reason why median is greater than the mean for the group of the freshmen.
(b)
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.
Chapter 11 Solutions
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