Question

The mean purchase total is $93.80 and the median purchase total is $75.80. The store

manager investigates and learns that the customer that made a $500 purchase had not

purchased groceries, but rather a $500 gift card. Because this customer's purchase was not

typical, the manager decides to exclude this total from the data set. How will removing the

$500 purchase from the data set affect the value of the mean and the median?

Answer 1

Both decrease, but the mean has a more significant change.

Explanation:

The first thing is to know what happens to the mean and the median, removing a value, the normal thing is that both change. Now, how much they would change, what we know is that when removing or removing this value, it is normal for both to decrease.

Since $ 500 is a much larger value than the mean, removing this value from the dataset will significantly decrease the mean. The median, on the other hand, will move to the next smaller number, so the change will be small or even none.

Therefore, both change, but the mean has a more significant change.