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Q.

What is the average consumption of petrol for a car per month during the whole year, if the average monthly consumption for the first 7 months of a year is 330 liters, and for the next 5 months is 270 liters?

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a

305 liters

b

300 liters

c

306 liters

d

308 liters

answer is A.

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Detailed Solution

We have to find the average consumption of petrol for a car per month during the whole year, if the average monthly consumption for the first 7 months of a year is 330 liters, and for the next 5 months is 270 liters.
We know that,

Mean= Sum of all observations Number of observations

It is known to us that the average monthly consumption of petrol for a car for the first 7 months of a year is 330litres, and for the next 5 months is 270 liters.
Mathematically,

Sum of consumptions of period for the first 7 months 7 = 330 Sum of consumptions of period for the first 7 months = 330 × 7 = 2, 310 Sum of consumptions of period for the next 5 months 5 = 270 Sum of consumptions of period for the next 5 months = 270 × 5 = 1350

Now, add both the consumptions,

2310 + 1350 = 3660

So, the sum of observations= 3660 and the number of observations= 12.
Calculating the mean,

366012 = 305

Hence, the mean of consumption over a year is 305 liters.
Therefore, option 1 is correct.

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