marks scored by the students of class 12th in mathematics are given in the form of a frequency distribution
0-10|10-20|20-30|30-40|40-50
5 12 16 12 5
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C.I f cf 0 - 10 2 2 10 - 20 10 12 20 - 30 12 24 30 - 40 15 39 40- 50 13 52 50 - 60 8 60 60 - 70 4 64
To find median, we need to find Median class first,
Total no of students(N)=64
2N=26/2=32
From Cf we can see 32 is more than 24 and less than 39, So, Median Class =30−40
Now,
M=l+f(2/N−C)×h
where, l= lower limit of median class=30,
C= preceding cumulative frequency of median class=24,
f= frequency of median class=15,
h= class size=10
M=30+15/32−24×10
=30+158×10
=30+5.33=35.33
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