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Number Difference Percentage Calculator

Percentage Difference Formula:

\[ \% \text{Diff} = \frac{| \text{Num1} - \text{Num2} |}{\frac{\text{Num1} + \text{Num2}}{2}} \times 100 \]

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1. What is a Number Difference Percentage Calculator?

Definition: This calculator determines the percentage difference between two numbers, showing how much they vary relative to their average.

Purpose: It's useful for comparing measurements, prices, performance metrics, or any numerical values where relative difference matters.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \% \text{Diff} = \frac{| \text{Num1} - \text{Num2} |}{\frac{\text{Num1} + \text{Num2}}{2}} \times 100 \]

Where:

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

3. Importance of Percentage Difference

Details: Percentage difference provides a standardized way to compare variations between numbers of different magnitudes, unlike absolute difference which doesn't account for scale.

4. Using the Calculator

Tips: Enter any two numbers (positive or negative) to calculate their percentage difference. The calculation is symmetric (order of numbers doesn't matter).

5. Frequently Asked Questions (FAQ)

Q1: How is this different from percentage change?
A: Percentage change compares a new value to an old one, while percentage difference compares two values without reference to which came first.

Q2: What does a 0% difference mean?
A: It means the two numbers are identical (no difference).

Q3: Can I compare negative numbers?
A: Yes, the calculator works with both positive and negative numbers.

Q4: What's considered a "significant" difference?
A: This depends on your context. In some fields 5% might be significant, while in others only 50%+ matters.

Q5: Why use average in the denominator?
A: Using average makes the calculation symmetric and gives equal weight to both numbers being compared.

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