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Measures Of Dispersion

Question

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Given below are the marks obtained by the students of a class. Calculate mean deviation and its coefficient using median data.

Solution

17, 35, 38, 16, 42, 27, 19, 11, 40, 25 Ans. To determine median of a series, its items are arranged in ascending order as below:

SI. No	Marks	D (Deviation from Median)
1	11	15
2	16	10
3	17	9
4	19	7
5	25	1
6	27	1
7	35	9
8	38	12
9	40	14
10	42	16
		Σ D = 94

Some More Questions From Measures of Dispersion Chapter

In the previous question, calculate the relative measures of variation and indicate the value, which in your opinion is more reliable.

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?

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