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Given:
The lengths, in inches, of each fish are listed:
9, 13, 9, 21, 18
To find:
The statement that best represents the meaning of the range for these data.
Solution:
The given data values are:
9, 13, 9, 21, 18
Arrange the data values in ascending order.
9, 9, 13, 18, 21
Here, the maximum value is 21 and the minimum value is 9.
We know that,
[tex]\text{Range}=\text{Maximum value}-\text{Minimum value}[/tex]
[tex]\text{Range}=21-9[/tex]
[tex]\text{Range}=12[/tex]
The range of the data set is 12. Therefore, the difference between the shortest and longest fish is 12 inches.