To find the advantage of range.
Answer to Problem 4E
The standard deviation is consider a more reliable measure of variation than the range.
Explanation of Solution
Given information: Data Set
Calculation:
The range is easy to understand, it is based on only the two most extreme values in the dataset, which makes it very susceptible to outliers. If one of those numbers is unusually high or low, it affects the entire range even if it is atypical.
The standard deviation is a summary measure of the differences of each observation from the mean. If the differences themselves were added up, the positive would exactly balance the negative and so their sum would be zero.
For
Chapter 11 Solutions
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