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03 // Bidirectional STEM Calculators // MATHPE (%) = ((E - T) / T) × 100

Experimental Percent Error Calculator

Percent Error quantifies measurement accuracy by expressing the deviation between an experimental value E and an accepted theoretical value T as a percentage of the true value: PE = ((E - T) / T) × 100.

PE (%) = ((E - T) / T) × 100
Pick which value you want to calculate (or type into any field):Solving for: PE (%) — Percent Error
Calculated

Relative error in percent (+ overestimate, - underestimate)

-99200
%

Observed lab or sensor reading

0.0011,000,000.00
unit

Accepted reference standard value

0.0011,000,000.00
unit
Calculated Result · Percent Error (PE (%))
2.4998

Step-by-Step Calculation

01Canonical Law: PE (%) = ((E - T) / T) × 100
02Given Inputs (Base Units): E = 10.0518, T = 9.8066
03Solve for PE (%) (Percent Error): PE (%) = 2.4998

Percent Error quantifies measurement accuracy by expressing the deviation between an experimental value E and an accepted theoretical value T as a percentage of the true value: PE = ((E - T) / T) × 100.

Real-World Reference Values

Class A Analytical Glassware±0.05% – ±0.20% Error

Volumetric flask metrological tolerance

1% Metal Film Resistor±1.0% Tolerance Band

E96 precision electronics series

Absolute Error (|E - T|)E - T = +0.2452

In the same physical units as E and T

20-Row Comparison Table

Percent Error (PE (%)) · Experimental Measured Value (E)

Experimental Percent Error Calculator — Experimental Measured Value → Percent Error
#Experimental Measured Value (E)Percent Error (PE (%))Δ %
0110.0518 Current2.4998 0.00%
027,237.37 73,700.66 +2948121.68%
0314,474.74 147,501.30 +5900343.21%
0421,712.11 221,301.95 +8852564.74%
0528,949.49 295,102.60 +11804786.27%
0636,186.86 368,903.24 +14757007.81%
0743,424.23 442,703.89 +17709229.34%
0850,661.60 516,504.53 +20661450.87%
0957,898.97 590,305.18 +23613672.40%
1065,136.34 664,105.83 +26565893.94%
1172,373.71 737,906.47 +29518115.47%
1279,611.08 811,707.12 +32470337.00%
1386,848.45 885,507.77 +35422558.54%
1494,085.83 959,308.41 +38374780.07%
15101,323.20 1,033,109.06 +41327001.60%
16108,560.57 1,106,909.71 +44279223.13%
17115,797.94 1,180,710.35 +47231444.67%
18123,035.31 1,254,511.00 +50183666.20%
19130,272.68 1,328,311.64 +53135887.73%
20137,510.05 1,402,112.29 +56088109.26%
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Frequently Asked Questions

What is the difference between Percent Error and Percent Difference?+

Percent Error divides by a known True Reference T ((E - T)/T), whereas Percent Difference compares two measurements of equal standing by dividing by their average.

How do I find the upper calibration boundary for a +2.5% sensor tolerance?+

Click SOLVE FOR on E (Experimental Value), enter the reference value T, and set PE (%) = 2.5.

Should Percent Error be reported as positive or signed?+

Keeping the sign (+ or -) indicates whether the instrument systematically over-reads (+) or under-reads (-); take the absolute value |PE| for magnitude-only reporting.