Find the mean absolute deviation of the set of data. Round your answer to two decimal places. 21.3, 11.5, 51.6, 35, 18.8, 49

Question

asked Jan 17, 2022 5.9k views

1 Answer

Confused Vorlon · Answer 1 · 2022-01-24T02:57:28+0000

Answer: 14

Explanation:

The mean absolute deviation of a dataset is defined as the average distance between each datav alue and the mean.

It is computed by formula:

$(1)/(n)\sum^n_(i=1)|x_i-\overline{x}|$

$\overline{x}=$ average value of the data set

n = number of data values

x_i = data values in the set

$\overline{x}=(21.3+11.5+51.6+35+18.8+49)/(6)\\\\=31.2$

MAD=
(|21.3-31.2|+|11.5-31.2|+|51.6-31.2|+|35-31.2|+|18.8-31.2|+|49-31.2|)/(6)

=
(9.9+19.7+20.4+3.8+12.4+17.8)/(6)

=14

Hence, the mean absolute deviation of the set of data = 14