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.
Need it as an auditable file?
Ships inside the linked template — formula-driven, unlocked, audit-ready.
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. Most people learn this as a sequence of clicks and forget it by next week; learning it as a pattern instead is what lets you apply it to the next, slightly different version of the problem without starting from scratch. That is the difference this page is trying to make. Treat “sem excel function” as a small repeatable workflow rather than a one-off click you hope to remember next time. Use a small test block before the live file, so any surprise in the affected formula shows up while it is still harmless. 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 turns a calculation you can defend to a CFO or an auditor into a method you can reuse, explain, and defend when the workbook leaves your screen.
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
Everything above works in Google Sheets too. Excel and Sheets share the formula syntax used here; only the surrounding menus are arranged differently. That portability is deliberate — learn it once and it follows you between the two tools and across Windows and Mac. 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. Treat “sem excel function” as a small building block rather than a chore. Once the inputs sit in their own cells and the formula reads from them, the same setup answers a dozen related questions with a tweak, and Excel keeps every dependent figure current as the data changes. The tool above is there so you can rehearse and verify before committing anything to a real workbook; the steps and worked example are there so the logic sticks. Get it right once and it stops costing you time — it starts saving it, every time the question comes back around.
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.