Question

Does the mean or median better describe the shape of this data set?
46, 54, 43, 57, 50, 62, 78, 42 (1 point)
The mean value of 52 is the best measure of center that describes the shape of the data set.
The mean value of 54 is the best measure of center that describes the shape of the data set.
The median value of 52 is the best measure of center that describes the shape of the data set.
The median value of 54 is the best measure of center that describes the shape of the data set.

Answer 1

Median = 52 is better.

Mean = 54 (432/8), median = (50+54)/2 = 52. The data are right-skewed by the large value 78, so the median (52) is less affected by that outlier and better represents the center.