To explain: The effect of an outlier on standard deviation in a data set.
Given:
There exists a data set with an outlier.
Concept used:
An outlier is a data point that is extremely far from the rest of the data points of the distribution and the standard deviation is the measure of the spread of data points across the mean.
Explanation:
The presence of an outlier in a data set will impact the mean of the data distribution if there exists an outlier at the lower end of the data distribution it decreases the mean of the data distribution and if there exists an outlier at the upper end of the data distribution it increases the mean of the data distribution. In either of the cases, it increases the spread of the data with respect to the mean. Thus it can be said that the presence of an outlier will increase the spread of the data distribution or standard deviation.
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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