Question

What measure of central tendency is not influenced by outliers?

Answer 1

Mode

Explanation:

There are 3 measures of location or central tendency which are median, mean and mode. Mean is heavily influenced by outliers and the median not so much. Mode is the most common item in the list so there should be no influence. For example look at the following list

1,2,1,1,3,4,100

mean = 16
medain = 2
mode = 1

assume 100 is an outlier then

mean = 2
medain = 1.5
mode = 1