Question

The fuel consumption rate of 10 vehicles is sampled. The rates, measured in miles per gallon, are

33, 18, 10, 14, 27, 37, 11, 13, 24, 27

What is the best estimate of the population mean for fuel consumption among vehicles? Round to the nearest mile per gallon. Enter your answer in the box.

Answer 1

Answer:

21 miles per gallon

Step-by-step explanation:

The population mean is a measure of central tendency that represents the average value of a variable within an entire population. It is calculated by summing up all the values of the variable within the population and dividing the total by the number of observations.

When the entire population is not feasible or practical to measure, a sample is often taken as a representative subset of the population. The mean calculated from the sample is referred to as the sample mean, which is an estimate of the population mean.

Therefore, to estimate the population mean for fuel consumption among vehicles, calculate the sample mean by summing the given fuel consumption rates of the 10 vehicles and dividing the total by 10.

$\begin{aligned}\sf Sample\;mean&=\dfrac{33+18+10+14+27+37+11+13+24+27}{10}\\\\&=\dfrac{214}{10}\\\\&=21.4\\\\&=21\end{aligned}$

Therefore, the best estimate of the population mean for fuel consumption among vehicles is 21 miles per gallon, rounded to the nearest mile per gallon.