Question

When the outliers are removed, how does the mean change?

Answer 1

Answer:

The mean increases by 3.

Step-by-step explanation:

What's an outlier?

• An outlier is a data point that's very different from the other data points. In this example, the outlier is 50, as the other data points are around the number 80.

What's the mean of a data set?

• The mean is the average of a data set. It's found by adding up all the numbers in the set and then dividing by the number of data points there is.

How do we solve this problem?

First, we find the mean of the data set with the outlier, 50.

• $\frac{50+76+78+79+79+80+81+82+82+83}{10}$
• $\frac{770}{10}$
• $77$  

Next, we find the mean of the set without the outlier.

• $\frac{76+78+79+79+80+81+82+82+83}{9}$
• $\frac{720}{9}$
• $80$

Lastly, we subtract 77 from 80 to find the difference.

• $80 - 77 = 3$

Therefore, the answer is The mean increases by 3.