Percentage Difference And Percentage Error
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a percentage of one (or both) values Use Percentage Change when comparing an Old Value to a New Value Use Percentage Error when comparing an Approximate Value to an Exact Value Use Percentage Difference when both percent difference formula values mean the same kind of thing (one value is not obviously older
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or better than the other). (Refer to those links for more details) How to Calculate Step 1: Subtract one value from
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the other Step 2: Then divide by ... what? Percentage Change: Divide by the Old Value Percentage Error: Divide by the Exact Value Percentage Difference: Divide by the Average of The Two Values Step 3:
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Is the answer negative? Percentage Change: a positive value is an increase, a negative value is a decrease. Percentage Error: ignore a minus sign (just leave it off), unless you want to know if the error is under or over the exact value Percentage Difference: ignore a minus sign, because neither value is more important, so being "above" or "below" does not make sense. Step 4: Convert this into a percent difference excel percentage (multiply by 100 and add a % sign) The Formulas (Note: the "|" symbols mean absolute value, so negatives become positive.) Percent Change = New Value - Old Value × 100% |Old Value| Example: There were 200 customers yesterday, and 240 today: 240 - 200 × 100% = (40/200) × 100% = 20% |200| A 20% increase. Percent Error = |Approximate Value - Exact Value| × 100% |Exact Value| Example: I thought 70 people would turn up to the concert, but in fact 80 did! |70 - 80| × 100% = (10/80) × 100% = 12.5% |80| I was in error by 12.5% (Without using the absolute value, the error is -12.5%, meaning I under-estimated the value) Percentage Difference = | First Value - Second Value | × 100% (First Value + Second Value)/2 Example: "Best Shoes" gets 200 customers, and "Cheap Shoes" gets 240 customers: | 240 - 200 | × 100% = |40/220| × 100% = 18.18...% (200+240)/2 Percentage Difference Percentage Error Percentage Change Percentage Index Search :: Index :: About :: Contact :: Contribute :: Cite This Page :: Privacy Copyright © 2014 MathsIsFun.com
difference between the experimental how to calculate percent difference between two numbers in excel value and the theoretical value as a percentage of the theoretical value. In the http://www.mathsisfun.com/data/percentage-difference-vs-error.html definition below, "theoretical" is the value that is determined from theory (i.e., calculated from physics equations) or taken as a known or accepted value like g. ( 1 ) http://webassign.net/question_assets/ncsucalcphysmechl3/percent_error/manual.html % error = |theoretical − experimental|theoretical × 100% Percent Difference When wanting to compare two values that are both determined by experimentation, we don't have a "correct" or accepted value to which to compare, so we simply look at how different the two values are as a percentage of their average value: ( 2 ) % difference = |value 1 − value 2|value 1 + value 22 × 100%. Copyright © 2013 Advanced Instructional Systems, Inc. and North Carolina State University | Credits
as the value of p or the acceleration due to earth's gravity, g. Since these quantities have accepted or true values, we can calculate the percent error between our measurement percent difference of the value and the accepted value with the formula Sometimes, we will compare the results of two measurements of the same quantity. For instance, we may use two different methods to determine percentage difference and the speed of a rolling body. In this case, since there is not one accepted value for the speed of a rolling body, we will use the percent difference to determine the similarity of the measurements. This is found by dividing the absolute difference of the two measured values by their average, or Physics Lab Tutorials If you have a question or comment, send an e-mail to Lab Coordinator: Jerry Hester Copyright © 2006. Clemson University. All Rights Reserved. Photo's Courtesy Corel Draw. Last Modified on 01/27/2006 14:25:18.