Bound of Error Calculator

Calculate Bound of Error (E)





Formula

The formula to calculate the bound of error (E) is:

\[ E = \frac{Z \cdot \sigma}{\sqrt{n}} \]

Where:

What is a Bound of Error?

The bound of error is a statistic that reflects the amount of random sampling error in a survey's results. It represents the radius of a confidence interval for a particular statistic. The smaller the bound of error, the more confident one can be in the accuracy of the survey's reported percentage.

Example Calculation

Let's assume the following values:

Using the formula to calculate the bound of error:

\[ E = \frac{1.96 \cdot 10}{\sqrt{100}} = \frac{19.6}{10} = 1.96 \]

The Bound of Error (E) is 1.96.