Find the mean of the data set without the outlier. Then, find the mean of the data set with the outlier.
The mean of the set without the outlier is $_____.
The mean of the set with the outlier is $_____.
Find the mean of the data set without the outlier. Then, find the mean of the data set with the outlier.
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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 =