9. Find the mode of the following frequency distribution:0-10
10-20
20-30
30-40
40-50
Class Interval 0-10 10-20
Frequency
5
12
20
9
4
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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
Hope it helps!
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