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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 10-12 12-14 14-16 16-18
Number of cars 7 12 18 13
Find the mean mileage. The manufacturer claimed that the mileage of the model was 16 km/litre. Do you agree with this claim

Solution:

Given, the data represents the mileage of 50 cars of the same model tested by a manufacturer.

We have to find the mean mileage of the cars.

Mileage	Number of cars (f)	Midpoint x	f × x
10 -12	7	11	77
12 - 14	12	13	156
14 - 16	18	15	270
16 - 18	13	17	221
Total	∑f = 50		∑fx = 724

By direct method,

Mean = ∑fx / ∑f

From the table,

Mean = 724/50

= 14.48

Therefore, the mean mileage is 14.48 km/litre.

Given, the manufacturer claimed that the mileage of the model was 16 km/litre.

Difference in mileage = 16 - 14.48

= 1.52 km/litre

Therefore, the mean mileage is 1.52 km/litre less than the manufacturers claim.

✦ Try This: The mileage (km per litre) of some cars of the same model was tested by a manufacturer and details are tabulated as given below :

Mileage	10-12	12-14	14-16	16-18
Number of cars	9	14	20	15

Find the mean mileage. The manufacturer claimed that the mileage of the model was 19km/litre. Do you agree with this claim?

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14

NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 8

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 10-12 12-14 14-16 16-18 Number of cars 7 12 18 13. Find the mean mileage. The manufacturer claimed that the mileage of the model was 16 km/litre. Do you agree with this claim

Summary:

The mean mileage is 14.48 km/litre. The manufacturer’s claim that the mileage of the model was 16 km/litre is wrong. Since, the mean mileage is 1.52 km/litre less than the manufacturer’s claim

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