Having twos, of car called. Type A and type B in observing the miles per gallon, we found that both types make mean miles per gallon of 32. Car A has a standard deviation 5 miles per gallon while car B has a standard deviation of 3 miles per gallon which car types is more consistent in fuel consumption.
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To determine which car gives more consistent mileage, we compute the
coefficient of variation for both using the formula CV = (σ/M) * 100
CV = (5/32) * 100 = 15.625
CV = (3/32) * 100 = 9.375
Since the CV is less for Car B, it is Car B that is more consistent in fuel
consumption than Car A
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Another approach to this problem is as follows ...
Since the two cars have the same mean mileage, it is enough to just compare
their standard deviations (coefficient of variation need not be calculated)
Since Car B has lower standard deviation for mileage, it is Car B that is more
consistent in fuel consumption than Car A
The one that is more consistent is the car with a smaller coefficient of variation, but since the mean consumption of both cars are the same, then the the one that is more consistent is the car with a smaller standard deviationTherefore car B is more consistent (since its standard deviation is smaller than car A
Mathematics (Pre Calculus and Calculus, Statistics, etc.)
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