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Question

The following table gives production yield per hectare of wheat of 100 farms of a village.

Production yield (in kg/ha)

50 − 55

55 − 60

60 − 65

65 − 70

70 − 75

75 − 80

Number of farms

2

8

12

24

38

16

Change the distribution to a more than type distribution and draw ogive.

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Solution

The cumulative frequency distribution of more than type can be obtained as follows.

Production yield

(lower class limits)

Cumulative frequency

more than or equal to 50

100

more than or equal to 55

100 − 2 = 98

more than or equal to 60

98 − 8 = 90

more than or equal to 65

90 − 12 = 78

more than or equal to 70

78 − 24 = 54

more than or equal to 75

54 − 38 = 16

Taking the lower class limits on x-axis and their respective cumulative frequencies on y-axis, its ogive can be obtained as follows.



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