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Percentage Error Calculator

Calculate percentage error between experimental and theoretical values — plus absolute and relative error.

Detailed Metrics
Percentage Error0.101937%
Signed Deviation-0.101937%
Absolute Error0.01
Relative Error0.001019
Deviation from Theoretical TargetTarget (0%)-0.10%
-10%-5%0%+5%+10%
Summary Sentence

The experimental value is 0.101937% lower than the theoretical value (Percentage Error: 0.101937%).

Step-by-Step Calculations
1. Absolute Error

Formula: |Experimental - Theoretical|

Substitution: |9.8 - 9.81| = 0.01

2. Relative Error

Formula: Absolute Error / |Theoretical|

Substitution: 0.01 / |9.81| = 0.001019

3. Percentage Error

Formula: Relative Error × 100%

Substitution: 0.001019 × 100 = 0.101937%

Percentage Error Formula & Interpretation

Percentage error measures how far an experimental measurement is from the accepted (theoretical) value: % error = (|E − T| / |T|) × 100.

A positive signed deviation means the experiment over-estimated; negative means under-estimated. Absolute error gives the raw difference, while relative error normalizes it to the scale of the measurement.

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