Question

What is the mean absolute deviation (MAD) of the data set?
{11, 10, 17, 18}

Answer 1

Answer:

The mean absolute deviation (MAD) of the data set is 3.5

Step-by-step explanation:

Step 1: What is MAD?

MAD is the average distance between each data value. <MAD> is used to see variation of the data. The larger the MAD, the further apart the numbers are.(and vice versa)

Step 2: Find the mean

11 + 10 + 17 + 18 = 56

56/4 = 14

Step 3: Formula to find the Absolute Deviations or distance of the data value to the mean

Find the absolute value of the difference between each data value and the mean:        | data value – mean |      or        I mean - data value I

Step 4: Find the Absolute Deviations

14 - 11 = 3

14 - 10 = 4

17 - 14 = 3

18 - 14 = 4

Step 5: FInd the mean of the Absolute Deviations or MAD

3 + 4 + 3 + 4= 14

14/4 = 3.5

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