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Questions  

The following data gives the information on the observed lifetimes (in hours) of 225
electrical components:

Lifetime (in hours)0-2020-4040-6060-8080-100100-120
Frequency103552613829

Determine the modal lifetimes of the components.

detailed solution

1

From the given data the modal class is 60–80.

l = 60,

The frequencies are:

fm = 61, f1 = 52, f2 = 38 and h = 20

The formula to find the mode is

Mode = l+ [fm-f12fm-f1-f2]×h

Substitute the values in the formula, we get

Mode =60+[61-52122-52-38]×20

Mode = 60+(9×2032)

Mode = 60+(458) = 60+ 5.625

Therefore, modal lifetime of the components = 65.625 hours.

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