You are viewing the article How to Calculate Percent Error at **Lassho.edu.vn** you can quickly access the necessary information in the table of contents of the article below.

This article was co-written by Jake Adams. Jake Adams is a tutor and owner of PCH Tutors, a business in Malibu, California that provides tutoring and learning resources for kindergarten through college, SAT & ACT preparation materials, and private tutoring. college admissions inquiries. With over 11 years of experience as a tutor, Jake is also the CEO of Simplifi EDU – an online tutoring service with the goal of helping customers access a network of excellent tutors in California. Jake holds a bachelor’s degree in international business and marketing from Pepperdine University.

This article has been viewed 6,440 times.

In terms of formulas, the percentage error is calculated as the magnitude of the difference between the exact value and the estimated value divided by the exact value, multiplied by 100 (expressed as a %). It basically shows you the difference between the estimated value and the correct value. There are two possible scenarios for errors: measurement errors (either by tools or people) and approximations (such as when rounding). In any case, the formula for calculating the percentage of error is very simple and easy to follow.

## Steps

### Substitute the values into the formula

**Rewrite the formula for percentage error.**The formula for calculating the percentage error is quite simple:

**[(|Estimated value – Exact value|) / Exact value] x 100**. You need to understand the two values that will be substituted in the formula:

^{[1] X Research Source}

- The estimated value is the relative value, and the exact value is the actual value (or accepted theoretical value).
- For example, if you guess there are 9 oranges in the bag, but there are actually 10, then 9 is the estimated value and 10 is the correct value.

**Subtract the exact value from the estimated value.**In the number of oranges example, you need to subtract 10 (the estimated value) from 9 (the exact value) like this: 9 – 10 =

**-1**.

^{[2] X Research Source}

- This difference is the magnitude of the difference between the estimated value and the actual value. This value tells us how much the actual result differs from the estimate.

**Determine the absolute value of the difference between the estimated value and the exact value.**Since the formula uses the absolute value of the difference, you can omit the negative sign. In this example, -1 would be 1.

^{[3] X Research Source}

- In the number of oranges example, we have: 9 – 10 = -1. Absolute value of -1 or |-1| = 1.
- If the difference is positive, keep the result. Example: 12 apples (estimated) – 10 apples (real) = 2. The absolute value of (|2|) is 2.
- In statistics, when referring to the absolute value, you do not need to care about the direction in which the guess is deviated from reality, such as being too high (positive number) or too low (negative number). You just need to know HOW MUCH difference you have estimated from the correct value.

**Divide the last result by the exact value.**You can do a mental calculation or use a calculator to divide the absolute value of the last result by the exact value. In this example, the exact value given is a positive number, so you just need to divide 1 (from the previous step) by 10 (the actual number of oranges).

^{[4] X Research Sources}

- We have: 1/|10| = 1/10.
- In some cases, the exact value may be negative. Then you just get the absolute value of the exact value by omitting the negative sign.
^{[5] X Research Sources}

### Return as a percentage to complete the answer

**Convert fractions**

**to decimals.**To convert a fraction to a percentage, first convert it to a decimal. In the number of oranges example, we have: 1/10 = 0.1. Calculators can help you quickly convert more complex numbers.

- If you don’t have a calculator, you’ll have to do long division to convert the fraction to a decimal. Usually, we just need to round from 4 to 5 digits after the comma is enough.
- Always divide a
**positive**number by a**positive**number when converting from fractions to decimals.

**Multiply the result by 100.**Multiply the last result by 100 to convert the answer to a percentage. Then you just need to add the percent sign to the answer and you’re done.

^{[6] X Research Source}

- In this example, we have: 0.1 x 100 = 10. So, the percentage error in estimating the number of oranges is 10%.

**Double check to make sure the answer is correct.**Minor errors can occur during sign swapping (negative/positive numbers) and division operations. You’d better double-check to make sure you got the right results.

- In the above example, to check if the estimated number of oranges is 10% different from the actual number of oranges, calculate 10% of 10 oranges. If the result is 1, you have the correct answer. We have: 10 x 10% = 10 x 0.1 = 1.
- 9 balls +
**1**= 10 balls. So the 9 oranges on the estimate are 1 wrong, or in other words, 10% compared to the actual 10 oranges.

## Advice

- The estimated value is also known as the estimated value, the measured value or the empirical value. The exact value is also known as the actual value or the accepted theoretical value.
- Fun fact: since we take the absolute value of the difference between the estimated value and the exact value, the order in which this subtraction is performed does not matter. Example: |8 – 4| = 4 and |4 – 8| = |-4| = 4. The result is the same!

This article was co-written by Jake Adams. Jake Adams is a tutor and owner of PCH Tutors, a business in Malibu, California that provides tutoring and learning resources for kindergarten through college, SAT & ACT preparation materials, and private tutoring. college admissions inquiries. With over 11 years of experience as a tutor, Jake is also the CEO of Simplifi EDU – an online tutoring service with the goal of helping customers access a network of excellent tutors in California. Jake holds a bachelor’s degree in international business and marketing from Pepperdine University.

This article has been viewed 6,440 times.

In terms of formulas, the percentage error is calculated as the magnitude of the difference between the exact value and the estimated value divided by the exact value, multiplied by 100 (expressed as a %). It basically shows you the difference between the estimated value and the correct value. There are two possible scenarios for errors: measurement errors (either by tools or people) and approximations (such as when rounding). In any case, the formula for calculating the percentage of error is very simple and easy to follow.

Thank you for reading this post How to Calculate Percent Error at **Lassho.edu.vn** You can comment, see more related articles below and hope to help you with interesting information.

**Related Search:**