Question

Julie and Clint tracked the average temperature in their city for the past 8 days. They recorded their temperature findings in this list. What is the mean absolute deviation of this data set?

a) 4.38°F
b) 4.75°F
c) 4.13°F
d) 4.63°F

Answer 1

The mean absolute deviation of the given data set is 3.5°F.

None of the given options is answer.

Step-by-step explanation:

The given data set is: [72, 76, 69, 80, 68, 74, 71, 78].

Calculate the mean (average) of the data set:

Mean = (72 + 76 + 69 + 80 + 68 + 74 + 71 + 78) / 8 = 74

Find the absolute deviations for each data point from the mean:

|72 - 74|, |76 - 74|, |69 - 74|, |80 - 74|, |68 - 74|, |74 - 74|, |71 - 74|, |78 - 74|

Calculate the mean of these absolute deviations:

Mean Absolute Deviation = (2 + 2 + 5 + 6 + 6 + 0 + 3 + 4) / 8 = 3.5

None of the given options is answer.