Percent Error Calculator

Use this Percent Error Calculator to quickly calculate accurate results online. Free, fast, and easy to use.

Percent Error Calculator

What Is a Percent Error Calculator?

A percent error calculator helps determine how far a measured (experimental) value differs from the accepted (theoretical) value in percentage terms. It is widely used in physics, chemistry, engineering, and laboratory experiments.

Percent Error Formula

Percent Error = |Experimental − Theoretical| ÷ |Theoretical| × 100

Where:

  • Experimental Value = measured or observed value
  • Theoretical Value = true or accepted value
  • | | indicates absolute value

Step-by-Step Example

Suppose the theoretical value is 50 and your experimental value is 47.

  • Step 1: Difference = 47 − 50 = -3
  • Step 2: Absolute Difference = | -3 | = 3
  • Step 3: Percent Error = (3 ÷ 50) × 100
  • Step 4: Percent Error = 6%

This means your measured value differs from the accepted value by 6%.

Why Percent Error Matters

Percent error helps evaluate accuracy in experiments. A smaller percent error indicates higher accuracy.

When to Use This Calculator

  • Science lab experiments
  • Physics calculations
  • Chemistry measurements
  • Engineering testing
  • Quality control analysis

Common Mistakes to Avoid

  • Forgetting absolute value
  • Using wrong denominator
  • Dividing by experimental instead of theoretical value
  • Using zero as theoretical value

Interpretation of Results

0% error means perfect accuracy. Low percentage (1–5%) indicates high precision. Higher percentages indicate measurement deviation.

Frequently Asked Questions

What is considered a good percent error?

In many scientific experiments, a percent error below 5% is considered good, though acceptable ranges vary by field.

Why do we use absolute value in percent error?

Absolute value ensures the error is expressed as a positive percentage regardless of direction.

Can percent error be negative?

No. Percent error is always expressed as a positive value due to the absolute value in the formula.

What happens if theoretical value is zero?

Percent error cannot be calculated because division by zero is undefined.

Is percent error the same as percent difference?

No. Percent error compares measured value to true value, while percent difference compares two measured values.

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