Office workers were asked how long it took them to travel to work one morning.Here is the stem-and-leaf display. $23456\begin{array} { l } 2 \\3 \\4 \\5 \\6\end{array}$ $000234457802571278902805\begin{array} { | l } 0002344578 \\0257 \\12789 \\028 \\05\end{array}$ Would you use the median or the mean to describe the centre of this distribution?

A) Mean,because the data are skewed to the right.
B) Median,because the data are skewed to the left.
C) Mean,because the data are skewed to the left.
D) Mean,because the data are symmetric.
E) Median,because the data are skewed to the right.

Question

Office workers were asked how long it took them to travel to work one morning.Here is the stem-and-leaf display.

23456\begin{array} { l } 2 \\3 \\4 \\5 \\6\end{array}

000234457802571278902805\begin{array} { | l } 0002344578 \\0257 \\12789 \\028 \\05\end{array}

Would you use the median or the mean to describe the centre of this distribution?

A) Mean,because the data are skewed to the right.
B) Median,because the data are skewed to the left.
C) Mean,because the data are skewed to the left.
D) Mean,because the data are symmetric.
E) Median,because the data are skewed to the right.

Brian Jordan · Accepted Answer

Final Answer : E, Explanation :  The stem-and-leaf display shows that the data are skewed to the right, making the median a better measure of the center than the mean, as the mean is more affected by the skewness and outliers.

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