Deepali was given two data sets, one without an outlier and one with an outlier.

Data without an outlier: 15, 19, 22, 26, 29

Data with an outlier: 15, 19, 22, 26, 29, 81

How is the mean affected by an outlier?

To find how the mean is affected by an outlier, we can find the means for both of the data sets. We can find a mean by adding all of the quantities together and then dividing by how many there are. But, instead since we see that the outlier is much larger, we know that it would make the data set's mean much larger, since by adding a number that is much greater than the rest, the dividing will create an even larger number.