27 and 8 percent error (%)

Percentage (%) Error Calculator

What is the percent error supposing that

the theoretical value = and

experimental value = ?

How to calculate Percent Error - Step by Step Solution

The Percent Calculator (Error) uses this formula:

% error = (experimental - theoretical|theoretical|) × 100%

The terms "experimental" and "theoretical" used in the equation above are commonly replaced with similar terms. Some terms also used for experimental are "measured," or "actual" and for theoretical the terms "accepted" and "calculated" are frequently used.

The Percent Error can be a positive or a negative number. If the experimental value is greater than the theoretical value, the result will be positive. On the other hand, if the experimental value is smaller than the theoretical value, the result will be negative. See more about percent error here.

This calculator can answers to questions like:

1) What is the percent error supposing 8 as the measured value and 27 as the calculated value?

2) What is the percent error supposing 27 as the measured value and 8 as the calculated value?

3) What is the absolute error between 27 and 8 supposing 27 as the theoretical value? Or may be: 27 and 8 percent error (%)

See the solutions to these problems below.

1) What is the percent error supposing 8 as the measured value and 27 as the calculated value?

Use the formula above to find the percent error. So, replacing the given values, we have

Percent error = [(8 - 27) / 27] x 100

= (-19 / 27) x 100

= -70.37037037037 % (negative error)

In this case we have a % of negative error because the experimental is smaller than the theoretical.

2) What is the absolute error between 27 and 8 considering 27 as the theoretical value?

This problem is not about percent or relative error, but about absolute error. The solution is very simple:

Absolute error = experimental - theoretical

= 8 - 27 = -19 (negative error)