Office workers were asked how long it took them to travel to work one morning.Here is the stem-and-leaf display. $$\begin{array} { l }
2 \
3 \
4 \
5 \
6
\end{array}$$ $$\begin{array} { |l }
0002344578 \
0257 \
12789 \
028 \
05
\end{array}$$ Without actually finding the mean and the median,would you expect the mean to be higher or lower than the median?
A)Lower,because the data are skewed to the right.
B)Lower,because the data are skewed to the left.
C)Higher,because the data are skewed to the left.
D)Higher,because the data are skewed to the right.
E)Neither,because the mean would be equal to the median.

Question

Office workers were asked how long it took them to travel to work one morning.Here is the stem-and-leaf display. $$\begin{array} { l } 
2 \
3 \
4 \
5 \
6
\end{array}$$ $$\begin{array} {  |l } 
0002344578 \
0257 \
12789 \
028 \
05
\end{array}$$ Without actually finding the mean and the median,would you expect the mean to be higher or lower than the median?
A)Lower,because the data are skewed to the right.
B)Lower,because the data are skewed to the left.
C)Higher,because the data are skewed to the left.
D)Higher,because the data are skewed to the right.
E)Neither,because the mean would be equal to the median.

Quizplus · Accepted Answer

The data are skewed to the right, as there are more values on the higher end of the scale, which typically results in a mean that is higher than the median.

Office Workers Were Asked How Long It Took Them to Travel