Toidentify:Which measure of central tendency is most affected by the outlier.
The mean is affected the most.
Given information:
The given data set is 16, 19, 21, 18, 18, 54, 20, 22, 23, 17.
The given data set is 90, 100, 110, 40, 98, 102, 112, 90, 92.
Explanation:
Consider the given information.
For the first data set; The mean is 22.8, mode is 18 and median is 19.5.
If outlier is removed then the mean is 19.33, mode is 18 and median is 19.
For the second data set: The mean is 92.6, mode is 90 and median is 98.
If outlier is removed then the mean is 99.25, mode is 90 and median is 99.
It can be observed that mean is affected the most. The reason is, mean is the sum of all data values that’s why mean affected the most.
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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