Question

The following table shows last year's revenue for each Herman's Hoagies location.

Location Revenue (in thousands of dollars)
Cedarton 121121121
Rimber 189189189
Linton 147147147
Granton \large??question mark
If the mean of the data set is 158158158 thousand dollars, find the revenue for the Granton location.

Answer 1

175

Explanation:

Answer 2

The revenue for Granton location is 175 thousand dollars

Explanation:

Given

Cedarton 121

Rimber 189

Linton 147

Mean = 158

Required

Revenue for Granton location.

To calculate the revenue for Granton location, we make use of mean formula.

Mean is calculated by Summation of Observation divided by number of observations.

Since Granton location is unknown; Let it be represented by letter G.

So, the summation of observation becomes 121 + 189 + 147 + G

Summation = 457 + G

The number of observations = 4

Recall that Mean = Summation ÷ Number

By substituting 158 for mean, 457 + G for summation and 4 for number, we have

158 = (457 + G) ÷ 4

158 = ¼(457 + G)

Multiply both sides by 4

4 * 158 = = 4 * ¼(457 + G)

632 = 457 + G

Make G the subject of formula

G = 632 - 457

G = 175

Hence, the revenue for Granton location is 175 thousand dollars