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Question -

During the medical check-up of 35 students of a class, their weights were recorded as follows :
 
Draw a less than type ogive for the given data. Hence, obtain the median weight from the graph and verify the result by using the formula. (C.B.S.E. 2009)



Answer -


Plot the points (38, 0), (40, 3), (42, 5), (44, 9),(46, 14), (48, 28), (50, 32), (52, 35) on the graph and join them in free handto get an ogive as shown.
Here N = 35 which is odd
 N = 35 =17.5
From 17.5 on y-axis draw a line parallel to x-axis meeting the curve at P. FromP, draw PM x-axis
Median which is 46.5(approx)
Now N = 17.5 lies in the class 46 – 48 (as 14 < 17.5 < 28)
46-48 is the median class
Here l= 46, h = 2,f= 14, F= 14

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