Find the mean of the data set without the outlier. Then, find the mean of the data set with the outlier.

To find the mean of a data set both with and without an outlier, follow these steps:

1. Identify the Outlier: An outlier is a data point that is significantly different from the others. You need to determine which value (or values) qualifies as an outlier.

2. Calculate the Mean without the Outlier:

– Remove the outlier from the data set.

– Add the remaining values together.

– Divide the sum by the number of data points left.

3. Calculate the Mean with the Outlier:

– Include all values in the original data set.

– Add all values together, including the outlier.

– Divide the total sum by the total number of values.

### Explanation Example:

Suppose your data set is: 3, 4, 5, 6, 100 (where 100 is the outlier).

– Without the Outlier: 3, 4, 5, 6

– Sum: 3 + 4 + 5 + 6 = 18

– Count: 4

– Mean = 18 / 4 = 4.5

– With the Outlier: 3, 4, 5, 6, 100

– Sum: 3 + 4 + 5 + 6 + 100 = 118

– Count: 5

– Mean =