Calculate the median from the following data:


Marks below:



10



20



30



40



50



60



70



80



No. of students:



15



35



60



84



96



127



198



250



140 kg below



No. of students



Class interval



Frequency



Cumulative frequency



10



15



0-10



15



15



20



35



10-20



20



35



30



60



20-30



25



60



40



84



30-40



24



84



50



96



40-50



12



96 (F)



60



127



50-60



31 (f)



127



70



198



60-70



71



198



80



250



70-80



52



250






N = 250




We have, N = 250


= = 125


The cumulative frequency is just greater than is 127 then median class is 50-60 such that:


l = 50, f = 31, F = 96, h = 60-50 = 10


Median = l +


= 50 + * 10


= 50 +


= = 59.35


5