Workers
(P.U. 2009)
27. The following data relates to age distribution of 50 persons :
Age (years) Frequency
20-30
3
30-40
7
40-50
14
50-60
16
60-70
8
70-80
2
Find mode of above distribution.
(P.9, 2010)
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Explanation:
ANSWER
Class intervals Frequency
10-20 7
20-30 12
30-40 20
40-50 11
50-60 8
Here maximum frequency is 20 ,the class corresponding to this 30-40
So modal class is 30-40
Now lower limit of modal class (l)=30
Frequency (f1) of modal class =20
frequency (f0) of preceding the modal class =12
frequency (f2) of the class succeeding the modal class=11
Class size=10
Mod=l+[
2f1−f0−f2
f1−f0
]×h
Mod =30+[
2×20−12−11
20−12
]×10=30+
17
8
×10=30+4.705=34.705
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