Shown below are the boxplot,the histogram and summary statistics for the weekly salaries (in dollars)of 24 randomly selected employees of a company: $$\begin{array} { c | c | c | c | c | c | c | c }
\text { Count } & \text { Mean } & \text { Median } & \text { StdDev } & \text { Min } & \text { Max } & \text { Q1 } & \text { Q3 } \
\hline 24 & 978.8 & 705 & 765.7 & 310 & 3700 & 510 & 1225
\end{array}$$ Write a few sentences describing the distribution.
A)The distribution is unimodal and skewed to the right.As shown in the boxplot,there are two outliers,weekly salaries of $2500 and about $3700.The median was 978.8,while the mean was 705,above the median score.The middle 50% of the weekly salaries were between $510 and $1225 for an IQR of $715.
B)The distribution is bimodal and skewed to the right.As shown in the boxplot,there are two outliers,weekly salaries of $2500 and about $3700.The median was 705,while the mean was 978.8,above the median score.The middle 50% of the weekly salaries were between $705 and $1225 for an IQR of $520.
C)The distribution is unimodal and skewed to the left.As shown in the boxplot,there are two outliers,weekly salaries of $2500 and about $3700.The median was 705,while the mean was 978.8,above the median score.The middle 50% of the weekly salaries were between $705 and $1225 for an IQR of $520.
D)The distribution is unimodal and skewed to the right.As shown in the boxplot,there are two outliers,weekly salaries of $2500 and about $3700.The median was 705,while the mean was 978.8,above the median score.The middle 50% of the weekly salaries were between $510 and $1225 for an IQR of $715.
E)The distribution is unimodal and skewed to the left.As shown in the boxplot,there are two outliers,weekly salaries of $2500 and about $3700.The median was 705,while the mean was 978.8,above the median score.The middle 50% of the weekly salaries were between $510 and $1225 for an IQR of $715.

Question

Shown below are the boxplot,the histogram and summary statistics for the weekly salaries (in dollars)of 24 randomly selected employees of a company:  $$\begin{array} { c | c | c | c | c | c | c | c } 
\text { Count } & \text { Mean } & \text { Median } & \text { StdDev } & \text { Min } & \text { Max } & \text { Q1 } & \text { Q3 } \
\hline 24 & 978.8 & 705 & 765.7 & 310 & 3700 & 510 & 1225
\end{array}$$ Write a few sentences describing the distribution.
A)The distribution is unimodal and skewed to the right.As shown in the boxplot,there are two outliers,weekly salaries of $2500 and about $3700.The median was 978.8,while the mean was 705,above the median score.The middle 50% of the weekly salaries were between $510 and $1225 for an IQR of $715. 
B)The distribution is bimodal and skewed to the right.As shown in the boxplot,there are two outliers,weekly salaries of $2500 and about $3700.The median was 705,while the mean was 978.8,above the median score.The middle 50% of the weekly salaries were between $705 and $1225 for an IQR of $520. 
C)The distribution is unimodal and skewed to the left.As shown in the boxplot,there are two outliers,weekly salaries of $2500 and about $3700.The median was 705,while the mean was 978.8,above the median score.The middle 50% of the weekly salaries were between $705 and $1225 for an IQR of $520. 
D)The distribution is unimodal and skewed to the right.As shown in the boxplot,there are two outliers,weekly salaries of $2500 and about $3700.The median was 705,while the mean was 978.8,above the median score.The middle 50% of the weekly salaries were between $510 and $1225 for an IQR of $715. 
E)The distribution is unimodal and skewed to the left.As shown in the boxplot,there are two outliers,weekly salaries of $2500 and about $3700.The median was 705,while the mean was 978.8,above the median score.The middle 50% of the weekly salaries were between $510 and $1225 for an IQR of $715.

Quizplus · Accepted Answer

The distribution is clearly unimodal and skewed to the right, as evidenced by the histogram and boxplot. The outliers are also present and notable in the plot. The summary statistics also support this, with a median of 705 and a mean of 978.8, indicating that the distribution is skewed to the right. The IQR of 715 also supports this interpretation. Therefore, Choice D is the best option.

Shown Below Are the Boxplot,the Histogram and Summary Statistics for the Weekly