Shown Below Are the Boxplot and the Histogram for the Weekly

question 128

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:

Finished Goods Inventory

Finished Goods Inventory consists of the completed products that are ready for sale but have not yet been sold, representing one of the components of a company's total inventory.

Predetermined Overhead Rate

A rate used to allocate estimated overhead costs to products or job orders, based on a particular activity base.

Direct Labor Hours

The total hours worked by employees directly involved in the production of goods or services, often used to allocate labor costs to products.

Overhead

All indirect costs of running a business that are not directly associated with the production of goods or services, such as rent, utilities, and administrative salaries.