Question

28,32,47,16,40,35,38,54 what is the MAD of the data

Answer 1

Mean Absolute Deviation (M.A.D): 8.5

Explanation:

1. To find the mean absolute deviation of the data, start by finding the mean of the data set.

2. Find the sum of the data values, and divide the sum by the number of data values.

3. Find the absolute value of the difference between each data value and the mean: |data value – mean|.

4. Find the sum of the absolute values of the differences.

5. Divide the sum of the absolute values of the differences by the number of data values.

Hope that helped! :)

Answer 2

Mean Absolute Deviation (MAD): 8.5

Explanation:

Xmean = (28 + 32 + 47 + 16 + 40 + 35 + 38 + 54)/8 = 290/8

Xmean = 36.25

MAD =

(28 - 36.25) + (32 - 36.25) + (47 - 36.25) + (16 - 36.25) + (40 - 36.25) + (35 - 36.25) + (38 - 36.25) + (54 - 36.25) divided by 8

a break down of each ( )

(8.25) + (4.25) + (10.75) + (20.25) + (3.75) + (1.25) + (1.75) + (17.75) divided by 8 = 68

then you take 68/8 = Mean Absolute Deviation 8.5