Question

(1) Calculate the mean deviation about the mean of the following:
12, 6, 7, 3, 15, 10, 18,5​

Answer 1

The mean deviation about the mean is 5.

To calculate the mean deviation about the mean, you first need to find the mean of the data set. To do this, add up all of the numbers and divide by the number of data points.

Mean = (12 + 6 + 7 + 3 + 15 + 10 + 18 + 5) / 8

Mean = 9

Next, you need to find the deviation of each data point from the mean. To do this, subtract the mean from each data point.

Deviations: 3, -3, -2, -6, 6, 1, 9, -4

Then, you'll take the absolute value of each deviation and find the average of those deviations:

|3| + |-3| + |-2| + |-6| + |6| + |1| + |9| + |-4|

= 3 + 3 + 2 + 6 + 6 + 1 + 9 + 4

= 40 / 8

= 5

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