the following data gives the information on the observed life times (in hours) of 225 electrical components:
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Answer:
Here , frequency of class interval 60−80 is maximum.
So, it is the modal class
Now, l= Lower limit of modal class =60
f
1
= Frequency of modal class =61
f
0
= Frequency of class preceding the modal class =52
f
2
= Frequency of class succeeding the modal class =38
h= Class interval width = 20
So, Mode =l+(
2f
1
−f
0
−f
2
f
1
−f
0
)×h
=60+(
2(61)−52−38
61−52
)×20
=60+(
122−90
9
)×20
=60+(
32
9
)×20
=60+5.625
Mode =65.625
Therefore, modal lifetime of electrical components is 65.625 hours
Step-by-step explanation:
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