Sampling Error Calculator

Formula

The formula to calculate the Sampling Error (E) is:

\[ E = Z \times \frac{STD}{\sqrt{N}} \]

Where:

\( E \) is the sampling error.
\( Z \) is the z-score.
\( STD \) is the population standard deviation.
\( N \) is the sample size.

What is Sampling Error?

A sampling error is defined as the inherent error in the selection of a sample of data from a greater population of data. It represents the difference between the sample statistic and the actual population parameter.

Example Calculation

Consider an example where:

Z-Score (Z): 1.96
Population Standard Deviation (STD): 10
Sample Size (N): 100

Using the formula to calculate the Sampling Error:

\[ E = 1.96 \times \frac{10}{\sqrt{100}} = 1.96 \times 1 = 1.96 \]

This means that the sampling error for this example is 1.96.