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Relative Percent Difference Calculator

Relative Percent Difference Formula:

\[ \text{Relative \% Difference} = \frac{| \text{New Value} - \text{Old Value} |}{\text{Old Value}} \times 100 \]

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1. What is Relative Percent Difference?

Relative Percent Difference (RPD) is a measure of the difference between two values relative to their average or one of the values, expressed as a percentage. It's commonly used to compare experimental values, assess measurement precision, or evaluate changes over time.

2. How Does the Calculator Work?

The calculator uses the Relative Percent Difference formula:

\[ \text{RPD} = \frac{| \text{New Value} - \text{Old Value} |}{\text{Old Value}} \times 100 \]

Where:

Explanation: The formula calculates the absolute difference between two values, divides by the reference value, and converts to a percentage.

3. When to Use Relative Percent Difference

Applications: RPD is useful in quality control, method comparisons, instrument validation, and assessing changes in repeated measurements.

4. Using the Calculator

Tips: Enter both values (old and new). The calculator will handle positive/negative values correctly. The old value cannot be zero (division by zero is undefined).

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between RPD and percentage change?
A: They're similar, but RPD always uses absolute values and is often used for comparing two measurements rather than tracking change over time.

Q2: What is an acceptable RPD value?
A: This depends on the field. In analytical chemistry, <10% is often acceptable, while stricter applications may require <5%.

Q3: Can RPD be negative?
A: No, because the formula uses absolute value of the difference, RPD is always positive or zero.

Q4: What if my reference value is zero?
A: RPD is undefined when the reference value is zero. Consider using absolute difference instead.

Q5: Is RPD the same as percent error?
A: No, percent error compares a measured value to a known or theoretical value, while RPD compares two experimental values.

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