Question

True or False, the mean is the measure of central tendency most likely to be affected by an outliner? Explain your reasoning.

Answer 1

Solution:

The given statement is True

The mean is the measure of central tendency most likely to be affected by an outlier. The mean is a measure of central tendency which is based on all the observation of the data. Therefore, the mean will get affected if any value in the data set is an outlier. For example:

Let's consider a set of 5 numbers:

3,2,4,4,5

Mean = 3.6

Meidan = 4

Mode = 4

Now if we add outlier to the given data say 100. Then we have:

Mean = 19.67

Median = 4

Mode = 4

Therefore, the measure of central tendency that is most affected by the outlier is Mean