the number of students absent in a school was recorded everyday for 147 days and the row data was presented in the form of the frequency table
no.of days
5
6
7
8
9
10
11
12
13
15
18
20
no.of boys
1
5
11
14
16
13
10
70
4
1
1
1
find the median of the above data
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Calculation of median
x
i
f
i
cf
5 1 1
6 5 6
7 11 17
8 14 31
9 16 47
10 13 60
11 10 70
12 70 140
13 4 144
15 1 145
18 1 146
20 1 147
∑f
i
=147
We have,
⇒N=147⇒
2
N
=
2
147
=73.5
The cumulative frequency just greater than N/2 is 140 and the corresponding value of the variable x is 12.
Hence, median = 12. This means that for about half the number of days, more than 12 students were absent.
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