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NCERT Exemplar Solutions Class 10 Mathematics Solutions for Statistics and Probability - Exercise 13.3 in Chapter 13 - Statistics and Probability

Question 3 Statistics and Probability - Exercise 13.3

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 (km/l) Number of cars
10-12 7
12-14 12
14-16 18
16-18 13

Find the mean mileage.

Answer:

Mathematics Exemplar Problems - class 10 chapter Statistics and Probability Question 3 Solution image

Here, Σfi = 50

Σfixi = 724

\begin{aligned} &\therefore \text { Mean } \overline{\mathrm{x}}=\frac{\sum \mathrm{f}_{\mathrm{i}} {\mathrm{x_i}}}{\sum \mathrm{f}_{\mathrm{i}}}\\ &=724 / 50=14.48 \end{aligned}

Hence, mean mileage = 14.48 km/h

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