When determining the percentage difference between two numbers, the term "Percentage Difference" is used. This Percentage Difference Calculator can help you compare two numbers.
\(\%Difference = 100 × \dfrac{|A - B|}{\frac{A + B}{2}} \)
What Does a Percentage Difference Mean?
When two values are compared in mathematics, the percentage difference is computed by dividing the difference by the average of the two numbers.
When should Percentage Difference be used?
When both numbers represent the same type of value, a percentage difference is used (for example the heights of two people).
Percent Difference Formula
The percent difference formula calculates the change in value’s absolute value. We determine the absolute value of the difference between any two values that fall into the same category, multiplied by 100.
We determine the absolute difference between the two numbers because it does not matter what order the numbers are in.
\( \%\) difference =\(|\dfrac{Absolute \space difference \space between \space the \space two \space values}{Average \space of \space both \space the \space values}| × 100\% \)
How to Calculate Percentage Difference?
- Find the difference, or \(a-b\), between the two numbers.
- Then, calculate \( \frac{a+b}{2}\), the average of two values.
- Calculate the ratio of the difference and the average
- Divide the resultant fraction by 100, then simplify your result.
Alternatively, you may use our percent difference calculator online.
Percentage Difference vs Percentage Change
People frequently use the ideas of percentage difference and percentage change interchangeably, yet they are different from one another.
The percentage difference is the ratio of the difference between the two values and their average when one number is higher or lower than the second.
Percentage change is the difference between two values expressed as a percentage of one or both values when the old value is contrasted with the new value or vice versa.
FAQs
How to find the average rate of change?
The average rate of change function explains how quickly something is changing on average with something else. Calculating the average rate of change is as follows:
\( A(x) = \dfrac{f(b) – f(a)}{b – a} \)
here,
A(x) = Average rate of change
f(a) = Value of function at a
f(b) = Value of function at b
What does difference mean in math?
The separation of two numbers on a number line is referred to as their difference in mathematics. For instance, the distance on a number line between 10 and 8 is 2, hence the difference between 10 and 8 is 2. Subtracting one number from the other is the process of determining the difference between two numbers.
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