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Q.

The given distribution shows the number of. wickets taken by the bowlers in one-day international cricket matches:


No. of wickets

No. of bowlers

Less than 15

2

Less than 30

5

Less than 45

9

Less than 60

17

Less than 75

39

Less than 90

54

Less than 105

70

Less than 120

80


The median using less than ogive will be


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a

76

b

75

c

77

d

78 

answer is A.

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Detailed Solution

Given distribution shows the number of. wickets taken by the bowlers in one-day international cricket matches:

No. of wickets

No. of bowlers

Less than 15

2

Less than 30

5

Less than 45

9

Less than 60

17

Less than 75

39

Less than 90

54

Less than 105

70

Less than 120

80

We have to find the median of the grouped data using less than type ogive graph. N = 80 2 =40  
To draw the less than ogive graph, we will take the upper-class limits of class interval on x-axis and their respective frequencies on y-axis and consider the point N w.r.t. x-axis.
Question ImageObserving from the above graph, the median of the grouped data is 76.
Thus, the required answer is 76.
Therefore, the correct option is 1.
 
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