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Measures Of Central Tendency

Question
CBSEENST11024170
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Give the comparative study of the measures of Central Tendency.

Solution

Comparative study of the measures of Central Tendency : Arithmetic is the most commonly used average. It is simple to calculate and is based on all the observations. But it is unduly affected by the presence of extreme items. Median is a better summary for such data. Mode is generally used to describe the qualitative data. Median and mode can be easily computed graphically. In case of open ended distribution, they can also be easily computed.

Some More Questions From Measures of Central Tendency Chapter

Which average would be suitable in the following cases:

(i) Average size of readymade garments.

(ii) Average intelligence of students in a class.

(iii) Average production in a factory per shift.

(iv) Average wages in an industrial concern.

(v) When the sum of absolute deviations from average is least.

(vi) When quantities of the variable are in ratios.

(vii) In case of open ended frequency distribution.

The most suitable average for qualitative measurement is:

Which average is affect most by the presence of extreme items?

The algebraic sun of deviation of a set of n values from A.M. is =:

Comment on whether the following statements are True or False.

Following information pertains to the daily income of 150 families. Calculate the arithmetic means.

Income (in Rs.)

No. of Families

More than 75

More than 85

More than 95

More than 105

More than 115

More than 125

More than 135

More than 145

150

140

115

95

70

60

40

25

If the arithmetic mean of the data given below is 28, find (a) the missing frequency and (b) the median of the series.

Profit per retail shop (in Rs.)

Number of retail shops

0-10

10-20

20-30

30-40

40-50

50-60

12

18

27

–

17

6

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

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