Question

The following table shows last year's revenue for each Herman's Hoagies location.LocationRevenue (in thousands of dollars)Cedarton121Rimber189Linton147Granton?If the mean of the data set is 158 thousand dollars, find the revenue for the Granton location.thousand dollarsShow Calculator

Answer 1

SOLUTION

The mean of the data set has been given as 158

Mean is calculated as

$\text{Mean = }\frac{su\text{m of items }}{n\text{umber of items}}$

Now, let the revenue for Granton's location be x

This means that

$\begin{gathered} \text{Mean = }\frac{121+189+147+x}{4} \\ \\ 158=\frac{121+189+147+x}{4} \end{gathered}$

This becomes

$\begin{gathered} 158=\frac{457+x}{4} \\ \\ \text{cross multiplying we have } \\ \\ 158\times4=457+x \\ \\ 632=457+x \\ \\ x=632-457 \\ \\ x=175 \end{gathered}$

Therefore, the revenue for Granton's location is

175 thousand dollars