Question

If we add the outlier shown at 1 , which statement describes the effect the outlier will have on the mean and median of this data set?

a) Increase mean, no change in median
b) Increase median, decrease mean
c) Increase both mean and median
d) Decrease both mean and median

Answer 1

Adding an outlier at 1 will increase the mean and have no change in the median of the data set.

Step-by-step explanation:

The effect of adding an outlier at 1 will be to increase the mean and have no change in the median of the data set.

When calculating the mean, the outlier will have a larger impact on the sum of the data values, pulling the mean towards its value.

However, since the median is not affected by extreme values, it will remain unchanged.