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Question

The following data shows the warranty period of different components. Find the modal warranty period.

Warranty period(years)011223344556Number of components61016251620


A
3
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B
3.25
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C
3.5
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D
4
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Solution

The correct option is C 3.5

Modal class is 34 since it is the class with highest frequency.

Mode=l+[f1f02f1f0f2]×h
f1 represents the frequency of the modal class.
Also,
l=lower boundary of the modal class
h= size of the modal class interval
f0= frequency of the class preceding the modal class
f2= frequency of the class succeeding the modal class

Here, f1=25,f0=16,f2=16,l=3,h=1

Mode=3+[25162×251616]×1 =3.5


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