Question

Could somone help me on this MAD question

Answer 1

The mean absolute deviation of the set of numbers is 5/4

How to determine the mean absolute deviation?

The set of numbers is given as:

1 1/2, 0, 4 and 2 1/2

Rewrite the set of numbers as:

1.5, 0, 4 and 2.5

Calculate the mean of the set using:

$\bar x$ = Sum/Count

So, we have:

$\bar x$ = (1.5 + 0 + 4 + 2.5)/4

Evaluate

$\bar x$ = 2

The mean absolute deviation is then calculated as:

M.A.D = 1/n * ∑|x - $\bar x$|

So, we have:

M.A.D = 1/4 * [|1.5 - 2| + |0 - 2| + |4 - 2| + |2.5 - 2|]

Evaluate the absolute difference

M.A.D = 1/4 * [0.5 + 2 + 2 + 0.5]

Evaluate the sum

M.A.D = 1/4 * 5

Evaluate the product

M.A.D = 5/4

Hence, the mean absolute deviation of the set of numbers is 5/4

Read more about mean absolute deviation at

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