Question

What is the mean absolute deviation for 2, 9, 1, 7, 8, and 9? 1 3 6 8

Answer 1

Answer: 3

Order the numbers

Before: 2, 9, 1, 7, 8,9

After: 1, 2, 7, 8, 9, 9

Sum divided by the count.

Answer 2

MAD = 3

Explanation:

1) To find the MAD first let us find the mean of the data set.

mean = Sum of the elements of the data ÷ No. of elements in the data

mean = ( 2 + 9 + 1 + 7 + 8 + 9 ) ÷ 6

mean = 36 ÷ 6

mean = 6

2 ) Now we have to calculate how fare each element is always from the mean and add them.

Note : use the absolute value because distance is always positive.

Let us find it.

( 6 -2 ) ⇒ 4

( 9 - 6 ) ⇒ 3

( 6 -1 ) ⇒ 5

( 7 - 6 ) ⇒ 1

( 8 - 6 ) ⇒ 2

( 9 - 6 ) ⇒ 3

Now add them

4 + 3 + 5 + 1 + 2 + 3 = 18

4 ) Now divide that answer by the number of elements.

MAD = 18 ÷ 6

MAD = 3