To calculate sample size using Slovin’s formula, divide the population size (N) by 1 + N \times e^21+N×e2, where e represents the margin of error. This provides a practical way to determine sample size in surveys or research studies.
The Slovin’s Formula Calculator is a tool designed to estimate the required sample size for a given population with a specified margin of error. More often, it is used in research, social sciences, and market studies. The Slovin’s formula is specifically helpful when the total population size is known.
Furthermore, a sample size is also needed that accurately represents the population without surveying everyone. By adjusting the margin of error, this formula helps balance accuracy and practicality, making it useful for efficient survey planning.
Formula:
| Variable | Description |
|---|---|
| Sample size | |
| Total population size | |
| Margin of error |
Solved Calculations:
Example 1:
Calculate the sample size for a population of 5000 with a margin of error of 5% (0.05).
| Step | Calculation |
|---|---|
| 1. | |
| 2. | |
| 3. | |
| 4. | |
| 5. |
Answer: 370
Example 2:
Determine the sample size for a population of 1200 with a margin of error of 10% (0.1).
| Step | Calculation |
|---|---|
| 1. | |
| 2. | |
| 3. | |
| 4. | |
| 5. |
Answer: 92
What is a Slovin’s Formula Calculator?
The Slovin’s Formula Calculator is a fine tool for finding out the sample size from a population. It does so by primarily working with large groups and an unknown margin of error.
It is noteworthy that Slovin’s formula is widely used in research and statistics to calculate a manageable sample size that still represents the entire population.
All you need to do is to input the total population and desired margin of error, and this calculator provides the sample size needed to maintain data accuracy without surveying every individual.
This formula, commonly applied in surveys and research studies, simplifies estimating the number of respondents required for reliable results.
For supposition, to calculate a sample size from a population of 200 with a specific margin of error, the calculator performs the necessary steps instantly, making it ideal for researchers, statisticians, and academics.
Final Words:
Ultimately, the Slovin’s Formula Calculator makes calculating sample sizes quick and straightforward, supporting accurate and efficient data collection in research and statistical analysis.
