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Measures of Dispersion
Write down the merits of mean deviation.
Merits of Mean Deviation : 1. It is easy to understand mean Deviation.
2. Mean Deviation is less affected by extreme value than the Range.
3. Mean deviation is based on all the items of the series. It is therefore, more representative than the Range or Quartile Deviation.
4. It is very simple and easy measure of dispersion.
Demerits of Mean Deviation : 1. Mean deviation is not capable of algebraic treatment, because it ignores plus and minus signs.
2. It is not a well-defined measure since mean deviation from different averages (mean, median and mode) will not be the same
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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.
Define standard deviation.
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