The following data gives the information on the observed lifetimes (in hours) of 225
electrical components:
Lifetime (in hours) 0-20 20-40 40-60 60-80 80-100 100-120
Frequency 10 35 52 61 38 29
Determine the modal lifetimes of the components.

Question

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

Lifetime (in hours)	0-20	20-40	40-60	60-80	80-100	100-120
Frequency	10	35	52	61	38	29

Determine the modal lifetimes of the components.

Infinity Learn · Accepted Answer

From the given data the modal class is $$60$$–$$80$$.l $$=$$ $$60$$,The frequencies are:fm $$=$$ $$61$$, $$f1$$ $$=$$ $$52$$, $$f2$$ $$=$$ $$38$$ and h $$=$$ $$20The$$ formula to find the mode isMode $$=$$ $$l+$$ [$$fm-f12fm-f1-f2$$]×hSubstitute the values in the formula, we getMode $$=60+$$[$$61-52122-52-38$$]×$$20Mode$$ $$=$$ $$60+(9$$×$$2032)Mode$$ $$=$$ $$60+(458)$$ $$=$$ $$60+$$ $$5.625Therefore$$, modal lifetime of the components $$=$$ $$65.625$$ hours.

The following data gives the information on the observed lifetimes (in hours) of 225
electrical components:
Lifetime (in hours) 0-20 20-40 40-60 60-80 80-100 100-120
Frequency 10 35 52 61 38 29
Determine the modal lifetimes of the components.

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The following data gives the information on the observed lifetimes (in hours) of 225electrical components:Lifetime (in hours)0-2020-4040-6060-8080-100100-120Frequency103552613829Determine the modal lifetimes of the components.

Unlock the full solution & master the concept.

Ready to Test Your Skills?

free study material

The following data gives the information on the observed lifetimes (in hours) of 225
electrical components:
Lifetime (in hours) 0-20 20-40 40-60 60-80 80-100 100-120
Frequency 10 35 52 61 38 29
Determine the modal lifetimes of the components.