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Question

Draw a 'more than' given for the data given below which gives the marks of 100 students.
Marks0101020203030404050506060707080
Number of students4610102522185

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Solution

Marks Cumulative frequency
more than 0 100
more than 10 96
more than 20 90
more than 30 80
more than 40 70
more than 50 45
more than 60 23
more than 70 5
Plot points on the graph:
(0,100),(10,96),(20,90),(30,80),(40,70),(50,45),(60,23) and (70,5) to get the 'more that type' ogive as follows:
From frequency table, N=100N/2=50.
At y=50
Draw a horizontal line meeting the curve at P,AP
Draw a vertical line from point P which is parallel to y axis and meets OX at M.
OM=47 units
Median marks =47

1557914_1714383_ans_82dd16984eb54a48b6616105c7528e0e.png

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