The accepted length of a steel pipe is 5.5 m. How do you calculate the percent error for each of these measurements?

a. 5.2 m
b. 5.5 m
c. 5.7 m
d. 5.1 m

1 Answer
Aug 13, 2017

Answer:

A. -5.5%
B. 0.0%
C. 3.6%
D. -7.3%

Explanation:

The formula for percent error is:

% error = #(x_(measured)-x_(true))/x_(true)*100%#

Our #x_(true)# value is 5.5 m. All we do now is solve for % error by plugging in each result. The result must be two significant figures.

A. % error = #(5.2 m -5.5 m)/(5.5 m)*100%=-5.5%#

A. % error = #(5.5 m -5.5 m)/(5.5 m)*100%=0.0%#

A. % error = #(5.7 m -5.5 m)/(5.5 m)*100%=3.6%#

A. % error = #(5.1 m -5.5 m)/(5.5 m)*100%=-5.5%#