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Calculate Percent Difference Between 2 Numbers

Percent Difference Formula:

\[ \text{Percent Difference} = \frac{| \text{New Value} - \text{Old Value} |}{(\text{New Value} + \text{Old Value})/2} \times 100 \]

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1. What is Percent Difference?

Percent difference measures the relative difference between two values as a percentage of their average. It's useful when comparing two experimental values or when neither value can be considered a "reference" or "true" value.

2. How Does the Calculator Work?

The calculator uses the percent difference formula:

\[ \text{Percent Difference} = \frac{| \text{New Value} - \text{Old Value} |}{(\text{New Value} + \text{Old Value})/2} \times 100 \]

Where:

Explanation: The formula calculates the difference relative to the average of the two values, not relative to either individual value.

3. When to Use Percent Difference

Details: Use percent difference when comparing two experimental values where neither is considered "correct" or "standard". For comparing to a known value, use percent error instead.

4. Using the Calculator

Tips: Enter both values in the same units. The calculator works with any numerical values (positive or negative), except when both values are zero.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between percent difference and percent change?
A: Percent change compares a new value to an old reference value, while percent difference compares two values symmetrically without designating either as reference.

Q2: Can percent difference be negative?
A: No, the absolute value in the formula ensures the result is always positive (0-100% range).

Q3: What does a 0% difference mean?
A: A 0% difference means the two values are identical.

Q4: What's considered a "significant" percent difference?
A: This depends on your field and context. In some fields, 5% might be significant, while others might tolerate 20% differences.

Q5: How is this different from percentage point difference?
A: Percentage points measure absolute difference between percentages (e.g., 5% to 7% is a 2 percentage point change), while percent difference is relative to the average.

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