Question

Find the mean absolute deviation for the data set. {3, 5, 6, 3, 2, 2, 1, 0, 0, 4, 7, 4, 5, 5, 6}

Answer 1

0.50

Explanation:

The mean = 3 + 5 + 6+ 3 +2+ 2+ 1+0+ 0+ 4+ 7+ 4+ 5 + 5 + 6) / 15

= 53/15

= 3.533

Difference of values from the mean:

n n - 3.533 (Absolute value)

3 0.533

3 0.533

6 2.467

3 0.533

2 1.533

2 1.533

1 2.533

0 3.533

0 3.533

4 0.467

4 0.467

5 1.467

5 1.467

6 2.567

7 3.467

Totals:

53 26.533

So the M.A.D. = 26.533 / 53 = 0.50