Questions
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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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+ []×h
Substitute the values in the formula, we get
Mode =60+[]×20
Mode = 60+()
Mode = 60+() = 60+ 5.625
Therefore, modal lifetime of the components = 65.625 hours.
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