Concept explainers
The advantage of using the range in the description of the data set.
The advantage of standard deviation over range.
Explanation of Solution
The range is most simple measure of variation and is easiest to calculate. Hence, the advantage of using the range in describing the data set is that it is the easiest to calculate. Range is nothing but the difference between the largest and the smallest value in the data set.
Standard deviation is considered to be more reliable measure of variation than range because it uses all the values of the data set whereas the range only uses two values of the data set in describing the spread of the data. Thus, it is more affected by the extreme values, that is, it is not resistant to change.
Chapter 7 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
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