Question

Does the mean or median better describe the shape of this data set?
80, 95, 157, 95, 80, 75, 95, 75(1 point)
Responses

The median of 94 is the best measure of center to describe the shape of the data set.
The median of 94 is the best measure of center to describe the shape of the data set.

The median of 87.5 is the best measure of center to describe the shape of the data set.
The median of 87.5 is the best measure of center to describe the shape of the data set.

The mean of 94 is the best measure of center to describe the shape of the data set.
The mean of 94 is the best measure of center to describe the shape of the data set.

The mean of 87.5 is the best measure of center to describe the shape of the data set.

Answer 1

Median = 87.5 (middle of sorted data 75,75,80,80,95,95,95,157). Mean = 94. Because the 157 is a high outlier (right skew), the median (87.5) is the better measure of center.