Question

The table below summarizes the amount of milk consumed by a sample of 37 families last month.Number of families Number of gallonsper family805295158For these families, what is the mean number of gallons of milk consumed? Round your answer to the nearest tenth.O gallonsХ$?

Answer 1

Given the information on the table, we can find the mean by multiplying each number of families by their respective consumption, and then dividing by the sum by the total number of families (in this case, there are 37 families):

`\begin{gathered} \mu=(1)/(37)(8\cdot0+5\cdot2+9\cdot5+15\cdot8)=(1)/(37)(0+10+45+120) \\ \Rightarrow\mu=(175)/(37)=4.7 \\ \mu=4.7 \end{gathered}`

therefore, the mean number of gallons consumed is 4.7