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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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