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 left, as a lower mean suggests a longer tail to the left side of the distribution.

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