Question

The heights of six basketball players in inches are 75, 78, 77, 79, 83, and 85 What is the mean absolute deviation of the heights?

Answer 1

Mean absolute deviation of the heights is 3.

Step-by-step explanation:

Given the heights: 75, 78, 77, 79, 83, 85

Average value, X =
`(75+78+77+79+83+85)/(6)`

= 79.5

Mean absolute deviation =
`(1)/(n)`(/
`x_(1)` - X/ + /
`x_(2)` - X/ + /
`x_(3)` - X/ + /
`x_(4)` - X/ + /
`x_(5)` - X/ + /
`x_(6)` - X/)

Mean absolute deviation =
`(1)/(6)`(/75 - 79.5/ + /78 - 79.5/ + /77 - 79.5/ + /79 - 79.5/ + /83 - 79.5/ + /85 - 79.5/)

=
`(1)/(6)`(4.5 + 1.5 + 2.5 + 0.5 + 3.5 + 5.5)

=
`(1)/(6)`(18)

= 3

The mean absolute deviation of the heights is 3.