Concept explainers
Find the range and mean of each data set Use your results to compare the two datasets.
Set G: 22.4 20 33.5 21.3
Set H: 6.2 15 50.4 28
Find the range and mean of each set .
Answer to Problem 17P
Mean of Set G= 24.3
Range of Set G = 13.5
Mean of Set H = 24.9
Range of Set H= 44.2
Set H has more varied data since its range is higher.
The average of Set H is higher than that of Set G , since mean of Set H is higher.
Explanation of Solution
Given:
Set G: 22.4 , 20 , 33.5 , 21.3
Set H : 6.2 , 15 , 50.4 , 28
Calculation:
Arrange the data in ascending order:
Set G : 20 , 21.3 , 22.4 , 33.5
Mean =
Range is the difference of the highest and lowest value of the data =33.5-20 = 13.5
Set H : 6.2 , 15 , 28 , 50.4
Mean =
Range is the difference of the highest and lowest value of the data = 50.4-6.2 = 44.2
Set H has more varied data since its range is higher.
The average of Set H is higher than that of Set G , since mean of Set H is higher.
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