Consider the five number summary of hourly wages ($) for a sample of sales managers. Suppose the mean hourly wage is $38.50. What can we say about the shape
Of the distribution? $$\begin{array} { | c | c | c | c | c | }
\hline \text { Min } & \text { Q1 } & \text { Median } & \text { Q3 } & \text { Max } \
\hline 20.94 & 37.64 & 44.77 & 49.34 & 67.11 \
\hline
\end{array}$$
A) The distribution of hourly wages for sales managers is symmetric.
B) The distribution of hourly wages for sales managers is skewed right.
C) The distribution of hourly wages for sales managers is skewed left.
D) The distribution of hourly wages for sales managers is bimodal.
E) None of the above.

Question

Consider the five number summary of hourly wages ($) for a sample of sales managers. Suppose the mean hourly wage is $38.50. What can we say about the shape
Of the distribution? $$\begin{array} { | c | c | c | c | c | } 
\hline \text { Min } & \text { Q1 } & \text { Median } & \text { Q3 } & \text { Max } \
\hline 20.94 & 37.64 & 44.77 & 49.34 & 67.11 \
\hline
\end{array}$$
A) The distribution of hourly wages for sales managers is symmetric.
B) The distribution of hourly wages for sales managers is skewed right.
C) The distribution of hourly wages for sales managers is skewed left.
D) The distribution of hourly wages for sales managers is bimodal.
E) None of the above.

Quizplus · Accepted Answer

The mean hourly wage ($38.50) is less than the median hourly wage ($44.77), indicating that the distribution is skewed to the left, as the lower wages pull the mean down more than the higher wages pull it up.

Consider the Five Number Summary of Hourly Wages ($) for a Sample