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Measures Of Dispersion

Question

Wired Faculty App

Calculate standard deviation from the following data:

S.No.

1

2

3

4

5

Monthly

400

600

900

1400

1200

Income (Rs.)

Solution

SI. No.	Monthly Income (Rs.)	d	d₁ (d ÷ 100)	d₂
1	400	–500	–5	25
2	600	–300	–3	9
3	900	0	0	0
4	1400	500	5	25
5	1200	300	3	9
N = 5	AM = 900	Σ d¹ = 0		Σd² = 68

Some More Questions From Measures of Dispersion Chapter

Average daily wage of 50 workers of a factory was Rs. 200 with a standard deviation of Rs. 40. Each worker is given a raise of Rs. 20. What is the new average daily wage and standard deviation? Have the wages become more or less uniform?

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.

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