The Weekly Salaries (In Dollars)of 24 Randomly Selected Employees of a Company

question 55

Multiple Choice

The weekly salaries (in dollars) of 24 randomly selected employees of a company are shown below,and displayed on the following boxplot. $$\begin{array} { r r r r r r r r } 310 & 320 & 450 & 460 & 470 & 500 & 520 & 540 \\580 & 600 & 650 & 700 & 710 & 840 & 870 & 900 \\1000 & 1200 & 1250 & 1300 & 1400 & 1720 & 2500 & 3700\end{array}$$
Find the IQR and the standard deviation.Which is the most appropriate measure of spread?

• A)IQR: $789.3; standard deviation: $740 The IQR is the most appropriate measure of centre because of the outliers.
• B)IQR: $715; standard deviation: $769 The standard deviation is the most appropriate measure of centre because of the outliers.
• C)IQR: $715; standard deviation: $769 The standard deviation is the most appropriate measure of centre because the outliers are not significant in the distribution.
• D)IQR: $715; standard deviation: $769 The IQR is the most appropriate measure of centre because the outliers are not significant in the distribution.
• E)IQR: $715; standard deviation: $769 The IQR is the most appropriate measure of centre because of the outliers.

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