Find the range and mean of each data set Use your results to compare the two datasets.
Set A: 5 4 7 2 8
Set B: 3 8 9 2 0
Find the range and mean of each set .
Answer to Problem 14P
Mean of Set A= 5.2
Range of Set A = 6
Mean of Set B = 4.4
Range of Set B= 9
Set B has more varied data since its range is higher.
The average of Set A is higher than that of Set B , since mean of Set A is higher.
Explanation of Solution
Given:
Set A: 5 , 4 , 7 , 2, 8
Set B : 3 , 8 , 9 , 2 , 0
Calculation:
Arrange the data in ascending order:
Set A : 2 , 4 , 5 , 7 , 8
Mean =
Range is the difference of the highest and lowest value of the data = 8 − 2 = 6
Set B : 0 , 2 , 3 , 8 , 9
Mean =
Range is the difference of the highest and lowest value of the data = 9 − 0 = 9
Set B has more varied data since its range is higher.
The average of Set A is higher than that of Set B , since mean of Set A is higher.
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