Q. 24.3( 242 Votes )

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

Answer :

The frequency distribution table of less than type graph is as follows:


Now,


Taking upper class interval on x-axis and their respective frequencies on y-axis, ogive will be:



Here, N = 35



Mark the point A whose ordinate is 17.5 and is x-ordinate is 46.5.


Hence,


Median of the data is 46.5


Now,


It can be observed that the difference between two consecutive upper class limits is 2


The class marks with respective frequencies are obtained below:



We can see that the cumulative frequency is greater than n/2 and is 28 which belongs to the interval 46-48


Hence,


Median class = 46-48


Lower limit, l = 46


cf = 14


f = 14


h = 2


Now,


Median can be calculated as:





= 46.5


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