Question

A researcher wants to estimate the center of her data's distribution with a statistic that is the most robust. Which statistic should she select for this purpose?

a) Mean
b) Median
c) Mode
d) Standard Deviation

Answer 1

The most robust statistic for estimating the center of a data's distribution is the median. It is more appropriate when a data set contains outliers or extreme values.

Step-by-step explanation:

The most robust statistic for estimating the center of a data's distribution is the median. While the mean is the best estimate for the actual data set, the median is more appropriate when a data set contains outliers or extreme values. In a symmetrical distribution, the mean and median are both centrally located close to the high point of the distribution.