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detailed solution

Correct option is A

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+ [$\frac{{f}_{m}-{f}_{1}}{2{f}_{m}-{f}_{1}-{f}_{2}}$]×h

Substitute the values in the formula, we get

Mode =60+[$\frac{61-52}{122-52-38}$]×20

Mode = 60+($\frac{9×20}{32}$)

Mode = 60+($\frac{45}{8}$) = 60+ 5.625

Therefore, modal lifetime of the components = 65.625 hours.

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detailed solution

Correct answer is 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+ [$\frac{{f}_{m}-{f}_{1}}{2{f}_{m}-{f}_{1}-{f}_{2}}$]×h

Substitute the values in the formula, we get

Mode =60+[$\frac{61-52}{122-52-38}$]×20

Mode = 60+($\frac{9×20}{32}$)

Mode = 60+($\frac{45}{8}$) = 60+ 5.625

Therefore, modal lifetime of the components = 65.625 hours.

Talk to our academic expert!

+91

Are you a Sri Chaitanya student?

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