The accuracy formula helps to know the errors in the measurement of values. If the measured value is equal to the actual value then it is said to be highly accurate and with low errors. Accuracy and error rate are inversely related. High accuracy refers to low error rate, and high error rate refers to low accuracy. The accuracy formula gives the accuracy as a percentage value, and the sum of accuracy and error rate is equal to 100 percent.
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The accuracy formula provides accuracy as a difference of error rate from 100%. To find accuracy we first need to calculate the error rate. And the error rate is the percentage value of the difference of the observed and the actual value, divided by the actual value.
Accuracy = 100% - Error Rate
Error Rate = |Observed Value - Actual Value|/Actual Value × 100
Let us look at a few examples below, to understand more about the accuracy formula.
Solved Examples on Accuracy Formula
Example 1: The length of a rectangular box is 1.2 meters, but it was measured with tape, and the length was measured as 1.22 meters. Find the accuracy of measurement.
Given the length of the rectangular box = 1.20 meters
The measured length of the rectangular box = 1.22 meters