The given distribution shows 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
Draw a less than type Ogive from the above data. Find median from the curve. Verify median by actual
calculation.
Answers
Median = 76 number of wickets taken by the bowlers in one-day international cricket matches.
Step-by-step explanation:
Class f cf
0 - 15 2 2
15 - 30 3 5
30-45 4 9
45 - 60 8 17
60 - 75 22 39
75 - 90 15 54
90 - 105 16 70
105- 120 10 80
Median = 75 + 15 * ( 40 - 39)/15
= 75 + 1
= 76
Less than ogive
The points with the upper limits of the class are plotted on x axis and the corresponding less than cumulative frequencies on y axis.
The points are joined by free hand smooth curve to give less than cumulative frequency curve or the less than Ogive
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