Below are some of the scores on a math quiz given last week.
{84, 75, 76, 80, 48, 75}
What will happen to the mean of the quiz scores if the outlier is removed?
OA. The mean will increase.
OB. The mean will not change.
OC.
The mean will decrease.
OD.
There is not enough information given.
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Answer:

A.  The mean will increase.

Step-by-step explanation:

The mean is the average of the numbers. You just add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

84 + 75 + 76 + 80 + 48 + 75 = 438

438 / 6 = 73

mean = 73

The outlier is 48, so when you remove it, there will now be only five numbers in the set, and the mean will increase in size.

84 + 75 + 76 + 80 + 75 = 390

390 / 5 = 78

NEW mean (without the outlier) : 78