An acceptable error range depends on the application. For example, a 5-10% error range on political polling is commonly accepted as reasonable. A similar rate for surgical error would be appaling and targets tend to be in the 0.1-1% range.
In general, an error range of 5%-35% is acceptable, with 0-5% being exceptionally good, and over 35% meaning the data is unreliable or chaotic.
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The percent error is calculated by taking the absolute difference between the observed value and the accepted value, dividing by the accepted value, and then multiplying by 100 to express it as a percentage. It is used to determine the accuracy of experimental results.
The ratio of an error to an accepted value is called the relative error. It is a measure of how large the error is compared to the accepted value. By expressing the error relative to the accepted value, it allows for a standardized comparison between different measurements or experiments.
The percent error is calculated as: |(measured value - accepted value) / accepted value| * 100%. Substituting the values, we get |(24.59 - 25.49) / 25.49| * 100% = |-0.90 / 25.49| * 100% = 0.0353 * 100% = 3.53% error.
Accepted density refers to the specific density value that is commonly agreed upon or widely recognized as a standard for a particular substance. This value can be used as a reference point for comparison or verification purposes in various scientific or industrial settings.
To calculate the percent error for the gas constant (R), you would compare the experimental value to the accepted value. Subtract the accepted value from the experimental value, divide by the accepted value, and then multiply by 100 to get the percent error. This will help you determine the accuracy of your experimental measurement of the gas constant.
The percent error is calculated using the formula: |(experimental value - known value) / known value| x 100. Plugging in the values: |(105.2 - 107.5) / 107.5| x 100 ≈ |-2.3 / 107.5| x 100 ≈ 0.021 x 100 = 2.1% Therefore, the percent error in evaluating the molecular mass of the compound is approximately 2.1%.