Question

Suppose a company produces report indicates that the surveyed distance between two points is 1200 feet with a margin of error of ±0.1 feet. What are the maximum and minimum distances that the reader could assume based on the surveyed distance and margin of error?

Answer 1

Hello!

The answers are:

$MaximumDistance=1200.1ft\\MinimumDistance=1199.9ft$

Why?

Since we are given the margin of error and it's equal to ±0.1 feet, and we know the surveyed distance, we can calculate the maximum and minimum distance. We must remember that margin of errors usually involves and maximum and minimum margin of a measure, and it means that the real measure will not be greater or less than the values located at the margins.

We know that the surveyed distance is 1200 feet with a margin of error of ±0.1 feet, so, we can calculate the maximum and minimum distances that the reader could assume in the following way:

$MaximumDistance=ActualDistance+0.1feet\\\\MaximumDistance=1200feet+0.1feet=1200.1feet$

$MinimumDistance=ActualDistance-0.1feet\\\\MaximumDistance=1200feet-0.1feet=1199.9feet$

Have a nice day!