Find the median of the following data
mark obtained 20/29/28|33|42|38|43|25 Total
Wor
of 이
students 6 28|24|15|2|ul
201100
Answers
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Answer:
Marks No of students fi cf
0−7 3 3
7−14 4 7
14−21 7 14
21−28 11 25
28−35 0 25
35−42 16 41
42−49 9 50
Sum =50
Where cf= cumulative frequency
Median =L+
⎩
⎪
⎪
⎪
⎨
⎪
⎪
⎪
⎧
h×
f
(
2
N
−cf)
⎭
⎪
⎪
⎪
⎬
⎪
⎪
⎪
⎫
Here:
N=50
N/2=25
Here cumulative frequency is 25
Median class =21−28
So, L=21, h=7, f=11 and
cf=cf of preceding class i.e 14
Substitute all the value in the above formula, we get
Median =21+{7×(25−14)/11}
=28
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