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Measures Of Central Tendency

Question
CBSEENST11024245

Calculate the median by using less than and more than ogive:

Marks

0-5

5-10

10-15

15-20

20-25

25-30

30-35

35-40

Number of Students

4

6

10

10

25

22

18

5

Solution

Calculation of the Median less than and more than ogive :

Marks

cf.

 

Marks

c.f.

less than 5

less than 10

less than 15

less than 20

less than 25

less than 30

less than 35

less than 40

4

10

20

30

55

77

95

100

 

more than 0

more than 5

more than 10

more than 15

more than 20

more than 25

more than 30

more than 35

more than 40

100

96

90

80

70

45

23

5

0

Less than and more than ogive :

Some More Questions From Measures of Central Tendency Chapter

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

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.