For the following distribution draw a 'less than type' ogive and from the curve find the median.


Marks obtained



Less than 20



Less than 30



Less than 40



Less than 50



Less than 60



Less than 70



Less than 80



Less than 90



Less than 100



Number of students



2



7



17



40



60



82



85



90



100


Lets plot a graph of ‘less than ogive’, taking upper limits of the class intervals on x - axis and cumulative frequencies on y - axis.



As we have N = 100 by the frequency table.


N/2 = 100/2 = 50


Mark 50 on y - axis and the corresponding point on x - axis would be the median.



The corresponding point on x - axis is 55.


Hence, median is 55.


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