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Question

The mileage (km per litre) of 50 cars of the same model was tested by a manufacturer and details are tabulated as given below
Mileage(kmL1)1012121414161618Number of cars7121813
Find the mean mileage.
The manufacturer claimed that the mileage of the model was 16 kmL1. Do you agree with this claim?

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Solution

Mileage(kmL1)Class marks(xi)Number of cars(fi)fixi101211777121413121561416151827016181713221Totalfi=50fixi=724
Here, fi=50
and fixi=724
Mean ¯x=fixifi
=72450=14.48
Hence, mean mileage is 14.48kmL1.
No, the manufacturer is claiming mileage 1.52 kmh1 more than average mileage.

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