Answer:
Step-by-step explanation:
To determine the mean absolute deviation, we would first determine the mean of the given data.
Number of samples in the data = 8
Mean = (60 + 105 + 80 + 125 +
+ 140 + 95 + 65 + 170)/8
Mean = 105
We would determine the deviation of each sample by subtracting the mean from each. The absolute value is gotten by making all the results to be positive.
Deviation absolute deviation
60 - 105 45
105 - 105 0
80 - 105 25
125 - 105 20
140 - 105 35
95 - 105 10
65 - 105 40
170 - 105 65
Mean absolute deviation = (45 + 0 + 25 + 20 + 35 + 10 + 40 + 65)/8 = 181/8 = 22.625
Mean absolute deviation tells us the average distance of all values are from the middle. The average distance of all the values from the mean is 22.6
