How To Find Percent Error

How to Find Percent Error in Standard American English

Percent error is a measure of the accuracy of a measurement. It is calculated by dividing the absolute value of the difference between the measured value and the true value by the true value, and then multiplying by 100.

Percent error = |measured value - true value| / true value * 100

For example, if you measure the length of a table to be 100 cm, but the true length is 102 cm, then the percent error is:

Percent error = |100 cm - 102 cm| / 102 cm * 100 = 1.96%

Percent error can be used to compare the accuracy of different measurements. The lower the percent error, the more accurate the measurement.

Sources of Error

There are many different sources of error that can affect the accuracy of a measurement. Some of the most common sources of error include:

• Human error: This is the most common source of error. It can occur when the person taking the measurement makes a mistake, such as reading the measuring device incorrectly or using the wrong measuring technique.
• Instrument error: This type of error occurs when the measuring device is not accurate. For example, a ruler that is not calibrated correctly may give inaccurate readings.
• Environmental error: This type of error occurs when the environment affects the measurement. For example, if the temperature changes, it can affect the length of a metal object.

Minimizing Error

There are a number of things that you can do to minimize error when taking measurements. Some of the most important things to do include:

• Use a calibrated measuring device. This will help to ensure that the device is accurate.
• Take multiple measurements. This will help to reduce the effects of human error.
• Control the environment. This will help to reduce the effects of environmental error.

FAQs

What is the difference between percent error and absolute error?

Absolute error is the difference between the measured value and the true value. Percent error is the absolute error divided by the true value, multiplied by 100.

How can I improve the accuracy of my measurements?

There are a number of things that you can do to improve the accuracy of your measurements, including:

• Use a calibrated measuring device.
• Take multiple measurements.
• Control the environment.

What is an acceptable level of percent error?

The acceptable level of percent error depends on the application. In general, a lower percent error is better. However, in some cases, a higher percent error may be acceptable.

How can I calculate the percent error of a measurement?

To calculate the percent error of a measurement, divide the absolute value of the difference between the measured value and the true value by the true value, and then multiply by 100.