Concept explainers
Find the range and mean of each data set Use your results to compare the two datasets.
Set E: 12 12 0 8
Set F: 1 15 10 2
Find the range and mean of each set .
Answer to Problem 16P
Mean of Set E= 8
Range of Set E = 12
Mean of Set F = 7
Range of Set F= 14
Set F has more varied data since its range is higher.
The average of Set E is higher than that of Set F , since mean of Set E is higher.
Explanation of Solution
Given:
Set E: 12 , 12 , 0 , 8
Set F : 1 ,15 , 10 , 2
Calculation:
Arrange the data in ascending order:
Set E : 0 , 8 , 12 , 12
Mean =
Range is the difference of the highest and lowest value of the data =12-0 = 12
Set F : 1 , 2 , 10 , 15
Mean =
Range is the difference of the highest and lowest value of the data = 15-1 = 14
Set F has more varied data since its range is higher.
The average of Set E is higher than that of Set F , since mean of Set E is higher.
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