How to Find Percent Error

Introduction – how to find percent error:

In mathematics percent has been represented out of 100. Here we are going to see about the percent error.  Correctly put in concert the Percentage Error equation that taken as the difference from accepted value which is also your result minus the accepted value, divide by accepted value and multiply this result by 100. This formula is always expressed as % (percentage).


Example problems - find percent error:


Problem: 1

A person has estimated his monthly bike payment to be $200. The actual bike payment turned out to be $180. Find the percent error in these payments.

Solution:

Given that

His estimation is = $200

Actual payment = $180

Percent error = estimation payment – actual payment

= $200 - $180

= $ 20

Take the 20 and divided by the actual payment.

The correct bike payment is `20 / 180` = 0.1

That 0.1 * 100 = 10

So the answer will be 10% of the error in the final payment.

Example problem: 2

A girl has planned to purchase a bag in the shopping and her estimation to be $175. The actual bag payment turned out to be $150. Find the percent error in these payments.

Solution:

Given that

Her estimation is = $175

Actual payment = $150

Percent error = estimation payment – actual payment

= $175 - $150

= $25

Take the 20 and divided by the actual payment.

The correct bike payment is `25 / 150` = 0.16

That 0.16 * 100 = 16%

So the answer will be 16% of the error in the final payment.

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Another Example problem to find percent error:


Example problem: 3

A teacher has planned to purchase a book in the book shop and estimation to buy a book $80. The actual bag payment turned out to be $75. Find the percent error in these payments.

Solution:

Given that

His estimation is = $80

Actual payment = $75

Percent error = estimation payment – actual payment

= $80 - $75

= $5

Take the 20 and divided by the actual payment.

The correct bike payment is `5 / 75` = 0.066

That 0.066 * 100 = 6.6%

So the answer will be 6.6% of the error in the final payment.