Question

A handyman company serves customers from two cities 60 miles apart, Jonesville and Bellevue. The company would like to position a new of
between the two cities using weighted averages based on the typical number of calls received from each city. If Jonesville has a weight of 3 a
Bellevue has a weight of 5, how far from Bellevue should the office be located?
miles

Answer 1

Using the weighted mean, it is found that the office should be located 13.85 miles from Bellevue.

What is the weighted mean?

The weighted mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.

For this problem, the observations are given as follows:

• Bellevue, at position 0, with a weight of 5.

• Jonesville, at position 60, with a weight of 3.

These observations are the positions of the cities, considering that they are 60 miles apart, and their weights as given in the problem.

The weighted mean between these positions is found as follows:

M = (0 x 5 + 60 x 3)/(5 + 8) = 13.85.

The meaning of the weighted mean is that:

The office should be located 13.85 miles from Bellevue.

More can be learned about the weighted mean of a data-set at https://brainly.com/question/24398353

#SPJ1