Shown Below Are the Boxplot and the Histogram for the Weekly

question 31

Multiple Choice

Shown below are the boxplot and the histogram for the weekly salaries (in dollars) of 24 randomly selected employees of a company:
i.What features of the distribution can you see in both the histogram and the boxplot?
ii.What features of the distribution can you see in the boxplot that you could not see in the histogram?

• A)i)The distribution is unimodal and skewed to the right,with two outliers at $2500 and about $3700.The mean is greater than the median because of the skewedness. ii.You can more easily tell from the boxplot that the median is about $700 with quartiles at about $500 and $1200.
• B)i)The distribution is symmetrical,with two outliers at $2900 and about $3000.The mean and median are about the same. ii.You can more easily tell from the boxplot that the mean is about $500 with quartiles at about $700 and $1800.
• C)i)The distribution is unimodal and skewed to the left,with two outliers at $2500 and about $3700.The mean is lower than the median because of the skewedness. ii.You can more easily tell from the boxplot that the median is about $900 with quartiles at about $1100 and $1600.
• D)i)The distribution is unimodal and skewed to the right,with two outliers at $2900 and about $3000.The mean is greater than the median because of the skewedness. ii.You can more easily tell from the boxplot that the median is about $700 with quartiles at about $500 and $1200.
• E)i)The distribution is symmetrical,with two outliers at $2500 and about $3700.The mean and median are about the same. ii.You can more easily tell from the boxplot that the mean is about $700 with quartiles at about $500 and $1200.

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Definitions:

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