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.

Question

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.

Quizplus · Accepted Answer

The Answer of 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.

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