Question

A set of data contains numerical elements between 2 and 14, inclusive. Which of the following measure(s) of central tendency must change if an outlier of 14 is removed from data?

range
mode
median
mean

(salect all that apply)

Answer 1

Answer: range and mean

Answer 2

The two measures of central tendency that must change if an outlier is removed, is the range and the mean.

The range will be different because the range is found by subtracting the highest and lowest numbers. The highest value would change if we removed the number 14.

The mean will also change because if 14 is the largest, this number would skew the mean, or make it bigger than the what the mean would be without the outlier.