When the outliner is removed, the mean will increase.
The standard deviation is a statistic that describes the degree of volatility or dispersion in a set of numerical values. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
An outlier number of 78 is included in the data used to reflect the class's 16 students' average test results.
The sum of the 16 test results is found to be 84 × 16 = 1344.
Outlier discovered = 78
New total = 1344 - 78 = 1266 if outlier is eliminated.
There were 15 entries without an outlier.
The new average is 1266 / 12, or 84.4.
We discover that the average of fresh data rises.
Additionally, the standard deviation would decrease if an outlier is removed.
Hence, the mean will increase.
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