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State true or false.

The mileage (km per liter) of $50$ cars of the same model was tested by a manufacturer and details are tabulated as given below.

The manufacturer claimed that the mileage of the model was $16$ km/liter.

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True

False

answer is B.

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Detailed Solution

Given a table of data.
Question Image

Construct a table and obtain the class marks by using the formula,
=

u p p e r class limit+lower class limit 2

and obtain the product of each frequencies with each class marks.
Question Image

The formula gives the mean value is,

x ¯ = ∑ f i x i ∑ f i

Substitute

∑ f i = 50

and

∑ f i x i = 724

in the above formula,

= 72450

= 14.48

km/liter
Hence, the correct statement is that the mileage of the model is 14.48 km/liter.
Hence, the given statement is false.
Therefore, option 2 is correct.

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