Question
Differentiate between absolute and relative measures of dispersion.
|
S. No.
|
Basis
|
Absolute Measures of dispersion
|
Relative Measures of dispersion
|
|
1.
|
Meaning
|
These are those measures of dispersion that are expressed in terms of original unit of series. In other words, Absolute measures of Dispersion are expressed in same units in which original data is presented.
|
These are those measures of dispersion that are expressed in terms of relative value of percentage. In other words, Relative measures are not expressed in units but it is a pure number. It is the ratios of absolute dispersion to an appropriate average such as co efficient of Standard Deviation or Coefficient of Mean Deviation.
|
|
2.
|
Comparison
|
These measures cannot be used to compare the variations between the two series.
|
These measures can be compared.
|
|
3.
|
Example
|
Absolute Measures, Range Quartile, Deviation, Mean eviation, Standard Deviation
|
Relative Measure, Co-efficient of Range Co-efficient of Quartile Deviation, Co-efficient of mean Deviation, Co-efficient of Variation.
|
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| Units of Labour | TP | AP | MP |
| 1 | - | - | 100 |
| 2 | - | - | 120 |
| 3 | - | - | 80 |
| 4 | - | - | 60 |
| 5 | - | - | 0 |
| 6 | - | - | -60 |
|
Value
|
Less than 10
|
Less than 20
|
Less than 30
|
Less than 40
|
Less than 50
|
|
f
|
11
|
18
|
34
|
48
|
60
|
|
Inclusive Class Interval
|
Frequency
|
|
0-99
|
2
|
|
100-199
|
4
|
|
200-299
|
5
|
|
300-399
|
6
|
|
400-499
|
3
|
|
500-599
|
5
|
|
Total
|
25
|
| Quantity Sold ( Units ) | Price ( ₹ per unit ) | Average Cost (₹) |
| 1 | 15 | 15 |
| 2 | 16 | 12 |
| 3 | 17 | 10 |
| 4 | 18 | 12 |
| 5 | 19 | 14 |
|
$X$
|
$10$
|
$20$
|
$35$
|
$14$
|
$18$
|
$21$
|
$16$
|
|
$Y$
|
$15$
|
$25$
|
$18$
|
$19$
|
$20$
|
$26$
|
$27$
|
|
Years
|
Ist Division
|
IInd Division
|
IIIrd Division
|
|
2015
|
10
|
30
|
50
|
|
2016
|
12
|
45
|
70
|
|
2017
|
14
|
50
|
60
|
|
2018
|
11
|
40
|
75
|
| Output | TC (₹) |
| 0 | 5 |
| 1 | 15 |
| 2 | 22 |
| 3 | 27 |
| 4 | 31 |
| 5 | 38 |
| 6 | 49 |
| 7 | 63 |
| 8 | 81 |
| 9 | 101 |
| 10 | 123 |