In Excel: divide the sample standard deviation by the square root of the sample size: =STDEV.S(A2:A101)/SQRT(COUNT(A2:A101)).
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Put the observations in one column with no text or blanks mixed in.
Enter =STDEV.S(range)/SQRT(COUNT(range)) — STDEV.S for a sample, STDEV.P only when the column is the entire population.
Use COUNT rather than COUNTA so text entries cannot inflate the sample size.
For the whole descriptive set at once, enable the Analysis ToolPak and run Data ▸ Data Analysis ▸ Descriptive Statistics, which reports Standard Error directly.
To show it on a chart, select the series ▸ Chart Elements ▸ Error Bars ▸ More Options ▸ Custom, and point at the cell holding the standard error.
What this does
The standard error measures how precisely a sample mean estimates the population mean, where the standard deviation measures how spread out the individual observations are. Excel has no STDERR function, so it is built from two: STDEV.S for the sample standard deviation and COUNT for the sample size. Because of the square root, quadrupling the sample halves the standard 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 “find sem in excel”. Start on a copy or a tiny sample, keep the affected cells 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 data step that keeps your analysis trustworthy, but the practical win is that someone else can open the file and understand what happened without asking you.
A worked example
100 delivery times have a standard deviation of 4.2 hours. =STDEV.S(A2:A101)/SQRT(COUNT(A2:A101)) gives 4.2/10 = 0.42 hours. A rough 95% interval around the mean is therefore plus or minus 1.96 × 0.42, about 0.82 hours — narrow enough to quote, which the raw 4.2 was not. It is the number that decides whether a difference between two averages is worth acting on, and quoting the standard deviation in its place makes every comparison look inconclusive. One habit worth forming early: name the cells that hold your inputs, so the formula reads in plain language instead of a string of cell addresses. A reviewer — or you in three months — can then follow the logic without decoding what B7 and D2 were supposed to mean, which is most of what makes a sheet maintainable.
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 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 “find sem 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
- Reporting the standard deviation and calling it the standard error, which overstates the uncertainty of the mean by a factor of the square root of n.
- Using
COUNTA, which counts labels and notes and shrinks the result. - Using STDEV.P on a sample, which divides by n instead of n-1 and biases the estimate low.
- Building a 95% interval with 1.96 on a sample of eight, where the t distribution is materially wider.
Frequently asked questions
Is SEM the same as standard error?
Yes. SEM is the standard error of the mean, and the formula is the same.
Does Excel have a standard error function?
No. Combine STDEV.S with SQRT and COUNT, or read it from the Descriptive Statistics output of the Analysis ToolPak.
How do I add standard-error bars to a chart?
Select the series, Chart Elements ▸ Error Bars ▸ More Options, choose Custom and point both the plus and minus boxes at the cell holding the value.
STDEV.S or STDEV?
STDEV.S is the current name; STDEV is the legacy alias kept for compatibility and returns the same number.