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Calculate Accuracy Between Two Numbers

Accuracy Formula:

\[ Accuracy = \left(1 - \frac{|measured - true|}{true}\right) \times 100 \]

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1. What is Accuracy Calculation?

Accuracy calculation measures how close a measured value is to the true value. It's commonly used in scientific experiments, quality control, and measurement validation to assess the reliability of measurements.

2. How Does the Calculator Work?

The calculator uses the accuracy formula:

\[ Accuracy = \left(1 - \frac{|measured - true|}{true}\right) \times 100 \]

Where:

Explanation: The formula calculates the percentage accuracy by comparing the absolute difference between measured and true values relative to the true value.

3. Importance of Accuracy Calculation

Details: Accuracy assessment is crucial in scientific research, manufacturing, medical testing, and any field requiring precise measurements. It helps validate measurement methods and equipment.

4. Using the Calculator

Tips: Enter both measured and true values. The true value cannot be zero (division by zero is undefined). Higher percentage values indicate better accuracy.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between accuracy and precision?
A: Accuracy measures closeness to the true value, while precision measures consistency of repeated measurements.

Q2: What is considered good accuracy?
A: This depends on the field, but generally >95% is good, >99% is excellent for most applications.

Q3: Can accuracy be greater than 100%?
A: Yes, if the measured value is closer to the true value than expected (over-correction).

Q4: How does this relate to percent error?
A: Percent error = 100% - accuracy. They're complementary measures.

Q5: When shouldn't I use this formula?
A: When the true value is zero (undefined) or when dealing with logarithmic scales where relative error might be more appropriate.

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