Measures Of Dispersion

Question

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Write down the features of mean deviation.

Solution

Features of mean deviation:

Tips: -

1. Mean deviation is rigidly defined.

2. It depends on all the values of the variable.

3. It is based on absolute deviations from central values.

4. It is easy to understand.

5. It involves harder calculation than the range and quartile deviation.

6. It is amendable to algebraic treatment.

7. The units of measurement of the mean deviation are the same as those of the variable.

Some More Questions From Measures of Dispersion Chapter

To check the quality of two brands of lightbulbs, their life in burning hours was estimated as under for 100 bulbs of each brand.

Life (in hrs)

No. of bulbs

Brand A

Brand B

0–50

15

2

50–100

20

8

100–150

18

60

150–200

25

25

200–250

22

5

100

100

(i) Which brand gives higher life?
(ii) Which brand is more dependable?

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

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Measures Of Dispersion

Write down the features of mean deviation.

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.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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Loaction

Life (in hrs)	No. of bulbs
	Brand A	Brand B
0–50	15	2
50–100	20	8
100–150	18	60
150–200	25	25
200–250	22	5
	100	100

Classes	Frequencies
20–40	3
40–80	6
80–100	20
100–120	12
120–140	9
	50

For Daily Free Study Material Join wiredfaculty

Measures Of Dispersion

Write down the features of mean deviation.

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.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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