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Measures of Dispersion
Explain merits and demerits of quartile Deviation.
Merits : 1. It is easy understand and to calculate.
2. It is unaffected by the extreme values.
3. It is quite satisfactory when only the middle half of the group is dealt with.
Demerits : 1. It ignores 50 per cent of the extreme items.
2. It is not capable of algebraic treatment.
3. This is not useful when extreme items are to be given special height.
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If in the previous question, each worker is given a hike of 10% in wages, how are the mean and standard deviation values affected?
The sum of 10 values is 100 and the sum of their squares is 1090. Find the coefficient of variation.
Calculate the mean deviation about mean and standard deviation for the following distribution:
|
Classes |
Frequencies |
|
20–40 |
3 |
|
40–80 |
6 |
|
80–100 |
20 |
|
100–120 |
12 |
|
120–140 |
9 |
|
50 |
A measure of dispersion is a good .supplement to the central value in understanding a frequency distribution. Comment
Define dispersion.
How many methods are there to calculate dipersion?
Define range.
Define quartile deviation.
How is coefficient of quartile deviation calculated?
Define mean deviation.
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