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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,
3660 12 =305 Hence, the mean of consumption over a year is 305 liters.
Therefore, option 1 is correct.
 
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