Calculate effect size for study in research & statistics.
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Research & Statistics — Study: Sample Size Calculator
Quick answer
For Research & Statistics — Study: Sample Size Calculator: if population size is 10,000 and margin of error is 5%, the estimated sample size is 385.
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Estimated sample size
385
Calculated directly from the values you entered above.
You enter Population size 10,000, Margin of error 5%. You get Estimated sample size 385.
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See how the result changes
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Estimated sample size by population size
If population size goes from 10,000 to 15,000, estimated sample size changes from 385 to 390 (+1.3%).
| Population size | Estimated sample size |
|---|---|
| 5,000 | 370 |
| 7,500 | 380 |
| 10,000start | 385 |
| 15,000 | 390 |
| 20,000 | 392 |
Estimated sample size by margin of error
If margin of error goes from 5% to 7.5%, estimated sample size changes from 385 to 175 (−55%).
| Margin of error | Estimated sample size |
|---|---|
| 2.5% | 1,379 |
| 3.75% | 664 |
| 5%start | 385 |
| 7.5% | 175 |
| 10% | 99 |
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How to Use the Research & Statistics — Study: Sample Size Calculator
1
Enter Population size
Provide your population size.
2
Enter Margin of error
Provide your margin of error, in %.
3
View Your Results
Get your estimated sample size instantly, calculated on our server.
What is Research & Statistics — Study: Sample Size Calculator?
This research & statistics tool works out your estimated sample size instantly, so you don't have to do the math by hand.
“One quick calculation, so you always know your estimated sample size before you decide.”
What Affects Your Estimated sample size
Your estimated sample size depends on the values below.
Population size
Changing your population size changes your estimated sample size.
Margin of error
Changing your margin of error changes your estimated sample size. Typically between 0.1 and 50 %.
Example Result
Here's what you can expect from a research & statistics — study: sample size calculator calculation:
- Population size
- 10000
- Margin of error
- 5 %
- Estimated sample size
- 385
Frequently Asked Questions
- How does population size affect estimated sample size?
- If population size goes from 10,000 to 15,000, estimated sample size changes from 385 to 390 (+1.3%).
- How does margin of error affect estimated sample size?
- If margin of error goes from 5% to 7.5%, estimated sample size changes from 385 to 175 (−55%).
- How to calculate research & statistics — study: sample size calculator?
- Fill in population size and margin of error in the Research & Statistics — Study: Sample Size Calculator above and your estimated sample size is calculated instantly. Change any value to see how the result responds.
- What does an example research & statistics — study: sample size calculator calculation look like?
- For Research & Statistics — Study: Sample Size Calculator: if population size is 10,000 and margin of error is 5%, the estimated sample size is 385.
- Is this calculator free to use?
- Yes — every calculator on this site is completely free, with no sign-up or account required.
- How accurate is this calculator?
- It uses the standard formula and calculates on our server for every request, so results are precise for the values you enter.
- Is my data saved anywhere?
- No. Nothing you enter is stored or sent anywhere unless you choose to share a link with your values included.
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