In Excel: use =CONFIDENCE.NORM(0.05, sd, n) — it returns the margin of error for a 95 % confidence interval around a mean.
Syntax
Arguments
| Argument | 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
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. The difference between a quick fix and a sheet you can trust is the extra minute you spend validating “confidence interval chart excel”. Start on a copy or a tiny sample, keep the affected chart visible, and compare the result with the tool above before you touch the real workbook. 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. The point is a visual that makes the number obvious at a glance, but the practical win is that someone else can open the file and understand what happened without asking you.
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. A practical tip before you scale it up: build it once on a small block of test data, confirm the number against the tool on this page, and only then point it at your real sheet. That one habit catches almost every mistake while it is still cheap to fix, long before a wrong figure reaches a report or a colleague.
In Google Sheets
Google Sheets handles this almost identically to Excel. The formula syntax above is the same, and the menu lives under a slightly different label rather than a ribbon tab. Use the platform toggle at the top of the page to switch every keyboard shortcut between Windows and Mac, and expect at most cosmetic differences in naming. 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 “confidence interval chart 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.