Calculate sample size for model in research & statistics.
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Research & Statistics — Model: Confidence Interval Calculator
Quick answer
For Research & Statistics — Model: Confidence Interval Calculator: if estimate / mean is 50 and margin of error is 4, the lower bound is 46 and the upper bound is 54.
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Lower bound
46
Calculated directly from the values you entered above.
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See how the result changes
Each table re-runs this calculator with one value changed and everything else left as it is.
Lower bound by estimate / mean
If estimate / mean goes from 50 to 75, lower bound changes from 46 to 71 (+54%).
| Estimate / mean | Lower bound |
|---|---|
| 25 | 21 |
| 37.5 | 33.5 |
| 50start | 46 |
| 75 | 71 |
| 100 | 96 |
Lower bound by margin of error
If margin of error goes from 4 to 6, lower bound changes from 46 to 44 (−4.3%).
| Margin of error | Lower bound |
|---|---|
| 2 | 48 |
| 3 | 47 |
| 4start | 46 |
| 6 | 44 |
| 8 | 42 |
RESEARCH & STATISTICS GUIDE
A quick guide to Research & Statistics — Model: Confidence Interval Calculator
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How to Use the Research & Statistics — Model: Confidence Interval Calculator
1
Enter Estimate / mean
Provide your estimate / mean.
2
Enter Margin of error
Provide your margin of error.
3
View Your Results
Get your lower bound instantly, calculated on our server.
What is Research & Statistics — Model: Confidence Interval Calculator?
This research & statistics tool works out your lower bound instantly, so you don't have to do the math by hand.
“One quick calculation, so you always know your lower bound before you decide.”
What Affects Your Lower bound
Your lower bound depends on the values below.
Estimate / mean
Changing your estimate / mean changes your lower bound.
Margin of error
Changing your margin of error changes your lower bound.
Example Result
Here's what you can expect from a research & statistics — model: confidence interval calculator calculation:
- Estimate / mean
- 50
- Margin of error
- 4
- Lower bound
- 46
- Upper bound
- 54
Frequently Asked Questions
- How does estimate / mean affect lower bound?
- If estimate / mean goes from 50 to 75, lower bound changes from 46 to 71 (+54%).
- How does margin of error affect lower bound?
- If margin of error goes from 4 to 6, lower bound changes from 46 to 44 (−4.3%).
- How to calculate research & statistics — model: confidence interval calculator?
- Fill in estimate / mean and margin of error in the Research & Statistics — Model: Confidence Interval Calculator above and your lower bound is calculated instantly. Change any value to see how the result responds.
- What does an example research & statistics — model: confidence interval calculator calculation look like?
- For Research & Statistics — Model: Confidence Interval Calculator: if estimate / mean is 50 and margin of error is 4, the lower bound is 46 and the upper bound is 54.
- 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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