In Excel: use =CONFIDENCE.NORM(0.05, sd, n) — it returns the margin of error (the ± half-width) of a confidence interval around a mean, at a confidence level of 1 − alpha: alpha 0.05 gives 95 %, alpha 0.01 gives 99 %.
On this page8
Syntax
Arguments
| Argument | required / optional | Description |
|---|---|---|
alpha | required | Significance level — 0.05 for 95 % confidence. |
standard_dev | required | The population or sample standard deviation. |
size | required | The sample size. |
Related functions
n = 6 · mean = 14.67
Variance = 17.067
Need it as an auditable file?
Ships inside the linked template — formula-driven, unlocked, audit-ready.
What this does
CONFIDENCE returns the half-width of a confidence interval: the ± figure you place around a sample mean. The alpha argument is a significance level, not a confidence level, so 95 % confidence means passing 0.05 — the most common mistake with this function by a wide margin. CONFIDENCE.T uses the t-distribution and is the correct choice for small samples where the population deviation is unknown, which describes most real survey and test data. The result shrinks with the square root of the sample size, which is why quadrupling a sample only halves the error. Keep the inputs visible and clearly labelled and the whole thing stays auditable — anyone who opens the file later, including you, can see at a glance exactly what feeds the result and change one assumption without hunting through the formula. For “calculate the confidence interval in excel”, the reliable version is a short checking loop, not just the first command that appears to work. Run it on a deliberately small range first, watch how the affected cells change, and only then apply the same setup to the full sheet. When a formula is involved, keep the inputs labelled beside it, reference cells instead of typing values, and apply number formatting only after the result checks out. That is what makes a calculation you can defend to a CFO or an auditor useful in real work: repeatable, auditable, and not dependent on memory or luck.
A worked example
A survey of 400 people with a mean of 7.2 and a deviation of 1.8: =CONFIDENCE.NORM(0.05, 1.8, 400) returns about 0.18, so the interval is 7.2 ± 0.18. Reporting it: ="7.2 ± " & ROUND(CONFIDENCE.NORM(0.05,1.8,400),2). For a sample of 25, =CONFIDENCE.T(0.05, 1.8, 25) is the honest choice and returns a noticeably wider figure. CONFIDENCE is what turns a sample mean into an honest claim, and the alpha-versus-confidence confusion is what makes it so often wrong. If there is any chance you will reuse this, drop it into a small template tab right now: a labelled input area on the left and the formula beside it, checked once against the tool above. Next time the same question comes up, the answer is a single paste away instead of a rebuild from memory.
In Google Sheets
If you are in Google Sheets rather than Excel, the good news is that the formula shown here is identical and the workflow barely changes — menus sit across the top instead of in a ribbon, and a few function names differ slightly, but anything you build here moves across with little or no rework. The aim was to get you unstuck fast and leave you a little more capable than a copy-paste would. The answer is at the top, the tool proves it, and the detail above shows why it holds — so the next time a colleague asks, you can answer without reaching for search. The short version of “calculate the confidence interval in excel”: the answer is at the top of this page, the tool proves it on your own numbers, and the sections above explain why it holds so the next variation does not stump you. Excel rewards people who reference cells instead of typing values and who keep inputs separate from formulas, because that is what makes a result you can audit months later. Build it once, deliberately, with the live tool as a check, and you convert a one-off lookup into a reusable skill — which is the whole point of learning the why and not just the what.
Common mistakes
- Passing 0.95 instead of 0.05, which produces a nonsensically small margin.
- Using CONFIDENCE.NORM on a small sample where the t-distribution is correct and gives a wider, honest interval.
- Reporting a mean without an interval at all, which implies a precision the sample does not support.
Frequently asked questions
What alpha do I use for 95 % confidence?
0.05. Alpha is the significance level, which is 1 minus the confidence level.
CONFIDENCE.NORM or CONFIDENCE.T?
T for small samples with an unknown population deviation — which is most real data. NORM for large samples.
How do I halve my margin of error?
Quadruple the sample size. The margin shrinks with the square root of n.
Other ways people ask this
This is also commonly searched as “calculate confidence interval excel” and “how to calculate confidence intervals in excel”. They describe the identical operation, so you are in the right place no matter how you phrased it.
Why do people search for this in so many different ways?
Because the same task has many names. “calculate confidence interval excel”, “how to calculate confidence intervals in excel” all point at the one operation explained on this page, which is why they all lead here.