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Measures Of Central Tendency

Question

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Write any four Demerits of Mean.

Solution

Demerits of arithmetic average are as follows :

1. Effect of extreme value: The main effect of it is that it gets distorted by extreme values of the series.

2. Unsuitability : Arithmetic mean is a suitable measures in case of percentage or proportionate values.

3. Misleading conclusion : Arithmetic mean sometimes offer misleading conclusions.

4. Laughable conclusion : Arithmetic mean sometimes offer laughable conclusion.

Some More Questions From Measures of Central Tendency Chapter

The following series relates to the daily income of workers employed in a firm. Compute the (a) highest income of lowest 50% workers, (6) minimum income earned by the top 25% and (c) maximum income earned by lowest 25% workers.

Daily Income (in Rs.)

Number of Workers

10-14

15-19

20-24

25-29

30-34

35-39

5

10

15

20

10

5

The following table gives production yield in kg. per hectare of wheat of 150 arms in a village. Calculate the mean, median and mode production yield.

Production yield (kg. per hectare)

50-53

53-56

56-59

59-62

62-65

65-68

68-71

71-74

74-77

Number of farms

3

8

14

30

36

28

16

10

5

The size of land holdings of 380 families in a village is given below. Find the median size of land holdings.

Size of Land Holdings (in acres)

Number of families

less than 100

100-200

200-300

300-400

400 and above

40

89

148

64

39

What do you mean by 'Average'?

Pocket expenditures of 6 students are (Rs.) 6,12,18,24,30 and 36 respectively. Find out arithmetic mean.

Name various kinds of statistical averages?

Give formula of weighted averages.

Give formula of calculating arithmetic average of a continuous series.

What is arithmetic mean?

Define median.

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Mock Test Series

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