Statistics - Mean Deviation of Individual Data Series
When data is given on individual basis. Following is an example of individual series:
Items | 5 | 10 | 20 | 30 | 40 | 50 | 60 | 70 |
---|
For individual series, the Mean Deviation can be calculated using the following formula.
Formula
Where −
${MD}$ = Mean deviation.
${X}$ = Variable values
${A}$ = Average of choices
${N}$ = Number of observations
The Coefficient of Mean Deviation can be calculated using the following formula.
Example
Problem Statement:
Calculate Mean Deviation and coefficient of mean deviation for the following individual data:
Items | 14 | 36 | 45 | 70 | 105 |
---|
Solution:
Item, X | Deviation, |D| |
---|---|
14 | 40 |
36 | 18 |
45 | 9 |
70 | 16 |
105 | 51 |
${\sum{|D|}}$ = 134 |
Based on the above mentioned formula, Mean Deviation ${MD}$ will be:
and, Coefficient of Mean Deviation ${MD}$ will be:
The Mean Deviation of the given numbers is 26.8.
The coefficient of mean deviation of the given numbers is 0.49.