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Question

Calculate the median for the following data given below:

X
59
913
1317
1721
F
3
8
9
4

A
11.44
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B
12.44
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C
13.44
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D
15.44
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Solution

The correct option is A 13.44
X
Frequencies (f)
Cumulative frequency (cf)
59
3
3
913
8
3+8=11
1317
9
11+9=20
1721
4
20+4=24

n=Σf=24
n2=242=12

Median =l+(n2cff)×h
n=Σf= Total number of frequency =12
n2=242=12
So, the median class is 1317
L= Lower limit of the median class =13
cf= Cumulative frequency of the class preceding the median class =11
f= Frequency of the median class =9
h= class width=4
Therefore, Median =l+(n2cff)×h
=13+242119×4
=13+(12119)×4
=13+0.44
=13.44
Hence, the median is 13.44.

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