Question
A survey was conducted on 20 families in a locality by a group of students .What will be the mode of the data?
Age of family member0−2020−4040−6060−8080−100 Number of students78221
Age of family member0−2020−4040−6060−8080−100 Number of students78221
Answer: Option B
:
B
Using, Mode = l+f1−f02f1−f0−f2×h
where,
Maximum class frequency, f1=8
The class corresponding to the frequency =20−40
Lower limit of the modal class, l=20
Frequency of class preceding the modal class, f0=7
Frequency of class succeeding the modal class, f2=2
Now,Mode=20+8−716−7−2×20
Mode=20+17×20
∴Mode=22.86
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:
B
Using, Mode = l+f1−f02f1−f0−f2×h
where,
Maximum class frequency, f1=8
The class corresponding to the frequency =20−40
Lower limit of the modal class, l=20
Frequency of class preceding the modal class, f0=7
Frequency of class succeeding the modal class, f2=2
Now,Mode=20+8−716−7−2×20
Mode=20+17×20
∴Mode=22.86
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