The following set of data is the average low temperatures for two weeks. Week one: 74, 73, 74, 73, 76, 76, 75.
Week two: 78, 77, 78, 77, 79, 79, 78.
Find the difference of the mean and range of the set of data.
Responses
A The difference of the mean is 3.58 and the difference of the range is 1.The difference of the mean is 3.58 and the difference of the range is 1.
B The difference of the mean is 78 and the difference of the range is 5. The difference of the mean is 78 and the difference of the range is 5.
C The difference of the mean is 74.42 and the difference of the range is 5. The difference of the mean is 74.42 and the difference of the range is 5.
D The difference of the mean is 4 and the difference of the range is 1.
To find the difference of the mean, we need to calculate the mean of each week's data set:
Week one: (74 + 73 + 74 + 73 + 76 + 76 + 75)/7 = 74.14
Week two: (78 + 77 + 78 + 77 + 79 + 79 + 78)/7 = 78.14
The difference of the mean is: 78.14 - 74.14 = 4
To find the difference of the range, we need to calculate the range of each week's data set:
Week one: 76 - 73 = 3
Week two: 79 - 77 = 2
The difference of the range is: 3 - 2 = 1
Therefore, the correct response is:
D) The difference of the mean is 4 and the difference of the range is 1.