Question

What is percent error/percent deviation?

Answer 1

In order to solve this question first we will know what is percent error then we will know the know the formula of percent error or percent deviation and how we can calculate the percent error we will also know the use of percent error and percent deviation.

Complete step by step answer:
For solving this question first we know Percent error is the difference between an approximate or measured value and an exact or known value. It is used in science to report the difference between a measured or experimental value and a true or exact value.
It determines the accuracy of your results. The smaller your percent error, the better your results are. Usually $\pm5$ is acceptable in class. If it is higher, you might need to go back through your experiment to see what systematic or random errors were present.
Now we will know the formula of percent error:
$\% error = |({x_{measured}} - {x_{true}}) \div {x_{true}}| \times 100\%$
Below steps describe how to obtain the percent error in detail.
Step 1: Take the difference of one value from another. If we are ignoring the sign, the order does not matter. But we need to subtract the original value from the determined value if we are keeping negative signs. This value is “error.”
Step 2: Perform division operation for the error by the accurate or ideal value (not estimated or measured value). This results in a decimal number.
Step 3: Multiply it by 100 to transform a decimal number into a percentage.
Step 4: Add a percentage symbol (%) to represent percent error value.

Note: We can also use the formula without "Absolute Value". This can give a positive or negative result, which may be useful to know.