Support the Monkey! Tell All your Friends and Teachers

Help / FAQ



5.4 Mean Deviation

Average deviations ( mean deviation ) is the average amount of variations (scatter) of the items in a distribution from either the mean or the median or the mode, ignoring the signs of these deviations by Clark and Senkade.

Individual Series

Steps : (1) Find the mean or median or mode of the given series.

(2) Using and one of three, find the deviations ( differences ) of the items of the series from them.

i.e. xi - x, xi - Me and xi - Mo.

Me = Median and Mo = Mode.

(3) Find the absolute values of these deviations i.e. ignore there positive (+) and negative (-) signs.

i.e. | xi - x | , | xi - Me | and xi - Mo |.

(4) Find the sum of these absolute deviations.

i.e. S | xi - x | + , S | xi - Me | , and S | xi - Mo | .

(5) Find the mean deviation using the following formula.


Note that :

(i) generally M. D. obtained from the median is the best for the practical purpose.

(ii) co-efficient of M. D. =

Example Calculate Mean deviation and its co-efficient for the following salaries:

$ 1030, $ 500, $ 680, $ 1100, $ 1080, $ 1740. $ 1050, $ 1000, $ 2000, $ 2250, $ 3500 and $ 1030.

Click here to enlarge

[next page]

Index

5.1 Introduction
5.2 Methods of computing dispersion
5.3 Range
5.4 Mean Deviation
5.5 Variance
5.6 Coefficient of Variation
5.7 Percentile
5.8 Quartiles and interquartile range
5.9 Skewness moments and Kurtosis
5.10 Kurtosis

Chapter 6





All Contents Copyright © All rights reserved.
Further Distribution Is Strictly Prohibited.


Search:
Keywords:
In Association with Amazon.com