To find: To determine if the given data falls within three standard deviations from the mean or within six standard deviations from the mean.
The data falls within three standard deviations from the mean.
Given information:
Given that one of the friends says that the data below fall within three standard deviations from the mean. While the other friend disagrees, saying that the data fall within six standard deviations from the mean.
  
Calculation:
Determining the range of the data set is done on both sides of the mean.
Here the minimum value is within three standard deviations of the mean as well as the maximum value.
So, whichever is highest on either side decides the range of the data.
Since both sides are three standard deviations from mean, the data falls within three standard deviations from the mean.
Conclusion:
The data falls within three standard deviations from the mean.
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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