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Question

A survey conducted on 20 household in a locality by a group of statement resulted in the following frequency table for the number of family
Members in a house hold.
Familysize13355779911
Numberoffamilies78221
Find the mode of the data.

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Solution

Family size Number of families
13 7=f0
358=f1
572=f2
792
9111
f=20
Mode =l+f1f02f1f0f2×h
Whereas,
l= Lower limit of modal class =3
h= Class interval =53=2
f0= frequency of class preceeding the modal class =7
f1= frequency of modal class =8
f2= frequancy of class succeding the modal class =2
Therefore,
Mode =3+87(2×8)72×2=3+1169×2=3+27=3.286
Hence the mode of the given data is 3.286.

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