Interpret summary statistics.
-Consider the five number summary of hourly wages ($) for a sample of advertising /
Promotion managers. Suppose there had been an error and that the lowest hourly wage
Was $15.50 instead of $19.64. This would result in $$\begin{array} { | c | c | c | c | c | }
\hline \text { Min } & \text { Q1 } & \text { Median } & \text { Q3 } & \text { Max } \
\hline 19.64 & 29.36 & 34.18 & 40.86 & 57.26 \
\hline
\end{array}$$
A) an increase in the median.
B) an increase in the standard deviation.
C) a decrease in the range.
D) a decrease in the IQR.
E) an increase in the mean.

Question

Interpret summary statistics.
-Consider the five number summary of hourly wages ($) for a sample of advertising /
Promotion managers. Suppose there had been an error and that the lowest hourly wage
Was $15.50 instead of $19.64. This would result in $$\begin{array} { | c | c | c | c | c | } 
\hline \text { Min } & \text { Q1 } & \text { Median } & \text { Q3 } & \text { Max } \
\hline 19.64 & 29.36 & 34.18 & 40.86 & 57.26 \
\hline
\end{array}$$
A) an increase in the median.
B) an increase in the standard deviation.
C) a decrease in the range.
D) a decrease in the IQR.
E) an increase in the mean.

Quizplus · Accepted Answer

The standard deviation would increase because the spread of the data increases with a lower minimum value.

Interpret Summary Statistics A) an Increase in the Median