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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 member02020404060608080100 Number of students78221


Options:
A .   21.85
B .   22.86
C .   23.87
D .   24.87
Answer: Option B
:
B

Using, Mode =   l+f1f02f1f0f2×h  
where,
Maximum class frequency, f1=8


The class corresponding to the frequency =2040


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+871672×20


 Mode=20+17×20


Mode=22.86



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