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Measures of Dispersion
Some measures of dispersion depend upon the spread of values whereas some calculate the variation of values from a central value. Do you agree?
Yes we agree with the statement Range and quartile deviation measure the dispersion by calculating the spread within which the values lie i.e. they depend on the spread of values. On the other hand, mean deviation and standard deviation calculate the variation of value from a central value.
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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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