The following is a list of annual salaries (in dollars) for a group of mid-level managers in a large company.$\begin{array} { r r r r }
\hline 98,000 & 115,000 & 75,000 & 88,000 \
65,000 & 107,000 & 72,000 & 71,000 \
88,000 & 57,000 & 88,000 & 73,000 \
97,000 & 85,000 & 87,000 & 73,000 \
93,000 & 88,000 & 71,000 & 65,000 \
87,000 & 83,000 & 75,000 & 44,000 \
81,000 & 76,000 & 81,000 & 89,000 \
\hline
\end{array}$
-What is the standard deviation of the salaries (rounded to a whole number)?
A)81,000
B)81,111
C)88,000
D)14,701

Question

The following is a list of annual salaries (in dollars) for a group of mid-level managers in a large company.$\begin{array} { r r r r } 
\hline 98,000 & 115,000 & 75,000 & 88,000 \
65,000 & 107,000 & 72,000 & 71,000 \
88,000 & 57,000 & 88,000 & 73,000 \
97,000 & 85,000 & 87,000 & 73,000 \
93,000 & 88,000 & 71,000 & 65,000 \
87,000 & 83,000 & 75,000 & 44,000 \
81,000 & 76,000 & 81,000 & 89,000 \
\hline
\end{array}$
-What is the standard deviation of the salaries (rounded to a whole number)?
A)81,000
B)81,111
C)88,000
D)14,701

Quizplus · Accepted Answer

The standard deviation is a measure of the amount of variation or dispersion in a set of values. To find the standard deviation, one would first calculate the mean (average) salary, then determine the squared differences between each salary and the mean, average those squared differences, and finally take the square root of that average. The result, rounded to a whole number, is the standard deviation, which in this case is 14,701 dollars. This calculation requires more detailed steps than provided in the answer, but D is the correct choice as it is the only one that represents a plausible standard deviation value for the given salaries.

The Following Is a List of Annual Salaries (In Dollars)