Find The median For the Following :
Value : 1 2 3 4 5 6
f : 1 3 2 4 8 2
A)4.5 B)9 C)5 D)4
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Value f cf
1 1 1
2 3 4
3 2 6
4 4 10
5 8 18
6 2 20
n=20
n=20 (even)
Position of the median =(
2
20+1
)
th
observation
=(
2
21
)
th
observation =(10.5)
th
observation
The median then, is the average of the tenth and the eleventh items. The tenth item is 4, the eleventh item is 5.
Hence median =
2
4+5
=
2
9
=4.5.
1 1 1
2 3 4
3 2 6
4 4 10
5 8 18
6 2 20
n=20
n=20 (even)
Position of the median =(
2
20+1
)
th
observation
=(
2
21
)
th
observation =(10.5)
th
observation
The median then, is the average of the tenth and the eleventh items. The tenth item is 4, the eleventh item is 5.
Hence median =
2
4+5
=
2
9
=4.5.
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