The following data is gives the information on the observed lifetimes (in hours) of 225 electrical components:
Question:
The following data is gives the information on the observed lifetimes (in hours) of 225 electrical components:
Determine the modal lifetimes of the components.
Solution:
Here, the maximum frequency of electrical components is 61 so the modal class is 60−80.
Therefore,
$l=60$
$h=20$
$f=61$
$f_{1}=52$
$f_{2}=38$
$\Rightarrow$ Mode $=l+\frac{f-f_{1}}{2 f-f_{1}-f_{2}} \times h$
$=60+\frac{61-52}{122-52-38} \times 20$
$=60+\frac{9}{32} \times 20$
Mode $=65.625 \mathrm{hrs}$
Thus, the modal lifetimes of the components is 65.625 hours.
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