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Question

# The following data shows the warranty period of different components. Find the modal warranty period. Warranty period(years)0−11−22−33−44−55−6Number of components61016251620

A
3.25
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B
3
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C
3.5
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D
4
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Solution

## The correct option is C 3.5Modal class is 3−4 since it is the class with highest frequency. Mode=l+[f1−f02f1−f0−f2]×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+[25−162×25−16−16]×1 =3.5

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