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Measures of Dispersion
The height of 11 men were 61, 64, 68, 69, 67, 68, 66, 70, 65, 67 and 72 inches. Calculate the range of the shortest man is omitted, what is the percentage change in the range?
1. Range = L = S
= 72 - 61 = 11 inches
2. New Range (Shortest man is omitted)
= L - S
= 72 - 64 = 8
Change in range = 11-8 = 3 inches
percentage change in range = 3/11 ×100 = 27.2%
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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.
Give formula to calculate standard deviation of a frequency destribution series by direct method.
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