Slovin's Formula Calculator

Calculate Sample Size using Slovin's Formula



Formula

The formula to calculate the sample size using Slovin's Formula is:

\[ n = \frac{N}{1 + N \cdot e^2} \]

Where:

What is Slovin's Formula?

Slovin's formula is a mathematical formula used to calculate the sample size needed when conducting a survey or experiment. It is used to estimate the number of observations or responses needed to accurately represent a population when the population size is large and the exact number of the population is known. The formula takes into account the desired margin of error and provides a sample size that minimizes the error in the results.

Example Calculation

Let's assume the following values:

Using the formula to calculate the sample size:

\[ n = \frac{1000}{1 + 1000 \cdot (0.05)^2} = 285.71 \]

The sample size (n) is approximately 285.71.