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Question

# The following data gives the information on the observed lifetime (in hours) of 225 electrical components: Life time (in hours)0−2020−4040−6060−8080−100100−120Number of components103552613829 Determine the modal lifetimes of the components, given that the modal class is 60-80.

A

60.02

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B

65.62

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C

65.69

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D

66.21

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Solution

## The correct option is B 65.62 Given that the modal class is 60-80. Here, L=60,D1=61−52=9 D2=61−38=23,h=20 Mode=L+D1D1+D2×h=60+99+23×20=65.62 hours

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