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Percentage Difference Calculator Soup

Percentage Difference Formula:

\[ \text{Percentage Difference} = \frac{|A - B|}{\frac{(A + B)}{2}} \times 100 \]

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1. What is a Percentage Difference Calculator?

Definition: This calculator measures the relative difference between two values as a percentage of their average.

Purpose: It helps compare two values to understand how much they differ relative to their mean value.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Percentage Difference} = \frac{|A - B|}{\frac{(A + B)}{2}} \times 100 \]

Where:

Explanation: The absolute difference between values is divided by their average, then multiplied by 100 to get a percentage.

3. Importance of Percentage Difference

Details: This calculation is useful in science, finance, and data analysis to compare measurements, prices, or any quantitative values.

4. Using the Calculator

Tips: Enter any two numerical values. The calculator will show their percentage difference. Both values cannot be zero.

5. Frequently Asked Questions (FAQ)

Q1: How is this different from percentage change?
A: Percentage change measures increase/decrease from an original value, while percentage difference compares two values without reference to which is original.

Q2: When should I use percentage difference?
A: Use it when comparing two equally important values, like experimental vs theoretical results, or two product prices.

Q3: What does a 0% difference mean?
A: It means the two values are identical (A = B).

Q4: Can the difference be more than 100%?
A: Yes, if one value is much larger than the other relative to their average.

Q5: What if one value is zero?
A: The calculation works unless both values are zero (which would divide by zero).

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