Standard deviation worksheet

Find the mean, square each distance from it, average the squares, and take the square root: that is the population standard deviation. A sample divides by one less than the count instead. Variance is the same number before the root. Easy sets are built so the root comes out whole.

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Pick more than one for a sheet that mixes them.



Sigma Prep · sigmaprep.io/worksheets Name Standard Deviation Date Period Find each standard deviation. Round to two places where needed. Find the population standard deviation: $2, 4, 5, 7, 8, 15, 15$ Find the population standard deviation: $17, 20, 20, 25, 26, 29, 31$ Find the population standard deviation: $7, 8, 10, 11, 14, 15, 20, 20, 21$ Find the population standard deviation: $12, 19, 19, 21, 24$ Find the population standard deviation: $17, 17, 19, 19, 19, 23, 24, 28, 32$ Find the population standard deviation: $4, 10, 10, 12, 14$ Find the population standard deviation: $14, 17, 18, 28, 28$ Find the population standard deviation: $5, 7, 13, 15, 15$ Find the population standard deviation: $10, 10, 11, 12, 27$ Find the population standard deviation: $17, 18, 20, 30, 30$ Find the population standard deviation: $14, 16, 25, 25, 25$ Find the population standard deviation: $11, 16, 17, 19, 19, 20, 24$ Find the population standard deviation: $4, 4, 5, 7, 11, 16, 23$ Find the population standard deviation: $1, 2, 4, 6, 8, 9, 12, 15, 15$ Find the population standard deviation: $2, 4, 4, 5, 10, 11, 11, 11, 23$ Find the population standard deviation: $1, 1, 4, 10, 11, 14, 15$ Find the population standard deviation: $16, 20, 23, 23, 28$ Find the population standard deviation: $13, 18, 18, 22, 24$ Find the population standard deviation: $7, 15, 15, 16, 17$ Find the population standard deviation: $7, 7, 7, 12, 17$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Standard Deviation

Date Period

Find each standard deviation. Round to two places where needed.

Find the population standard deviation: $2, 4, 5, 7, 8, 15, 15$
Find the population standard deviation: $17, 20, 20, 25, 26, 29, 31$
Find the population standard deviation: $7, 8, 10, 11, 14, 15, 20, 20, 21$
Find the population standard deviation: $12, 19, 19, 21, 24$
Find the population standard deviation: $17, 17, 19, 19, 19, 23, 24, 28, 32$
Find the population standard deviation: $4, 10, 10, 12, 14$
Find the population standard deviation: $14, 17, 18, 28, 28$
Find the population standard deviation: $5, 7, 13, 15, 15$
Find the population standard deviation: $10, 10, 11, 12, 27$
Find the population standard deviation: $17, 18, 20, 30, 30$
Find the population standard deviation: $14, 16, 25, 25, 25$
Find the population standard deviation: $11, 16, 17, 19, 19, 20, 24$
Find the population standard deviation: $4, 4, 5, 7, 11, 16, 23$
Find the population standard deviation: $1, 2, 4, 6, 8, 9, 12, 15, 15$
Find the population standard deviation: $2, 4, 4, 5, 10, 11, 11, 11, 23$
Find the population standard deviation: $1, 1, 4, 10, 11, 14, 15$
Find the population standard deviation: $16, 20, 23, 23, 28$
Find the population standard deviation: $13, 18, 18, 22, 24$
Find the population standard deviation: $7, 15, 15, 16, 17$
Find the population standard deviation: $7, 7, 7, 12, 17$



Sigma Prep · sigmaprep.io/worksheets Name Standard DeviationAnswer keyVersion 1 Date Period Find each standard deviation. Round to two places where needed. Find the population standard deviation: $2, 4, 5, 7, 8, 15, 15$ $4.78$ Find the population standard deviation: $17, 20, 20, 25, 26, 29, 31$ $4.78$ Find the population standard deviation: $7, 8, 10, 11, 14, 15, 20, 20, 21$ $5.08$ Find the population standard deviation: $12, 19, 19, 21, 24$ $3.95$ Find the population standard deviation: $17, 17, 19, 19, 19, 23, 24, 28, 32$ $4.92$ Find the population standard deviation: $4, 10, 10, 12, 14$ $3.35$ Find the population standard deviation: $14, 17, 18, 28, 28$ $5.87$ Find the population standard deviation: $5, 7, 13, 15, 15$ $4.20$ Find the population standard deviation: $10, 10, 11, 12, 27$ $6.54$ Find the population standard deviation: $17, 18, 20, 30, 30$ $5.80$ Find the population standard deviation: $14, 16, 25, 25, 25$ $4.94$ Find the population standard deviation: $11, 16, 17, 19, 19, 20, 24$ $3.70$ Find the population standard deviation: $4, 4, 5, 7, 11, 16, 23$ $6.68$ Find the population standard deviation: $1, 2, 4, 6, 8, 9, 12, 15, 15$ $4.94$ Find the population standard deviation: $2, 4, 4, 5, 10, 11, 11, 11, 23$ $6.00$ Find the population standard deviation: $1, 1, 4, 10, 11, 14, 15$ $5.50$ Find the population standard deviation: $16, 20, 23, 23, 28$ $3.95$ Find the population standard deviation: $13, 18, 18, 22, 24$ $3.79$ Find the population standard deviation: $7, 15, 15, 16, 17$ $3.58$ Find the population standard deviation: $7, 7, 7, 12, 17$ $4.00$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Standard DeviationAnswer keyVersion 1

Date Period

Find each standard deviation. Round to two places where needed.

Find the population standard deviation: $2, 4, 5, 7, 8, 15, 15$ $4.78$
Find the population standard deviation: $17, 20, 20, 25, 26, 29, 31$ $4.78$
Find the population standard deviation: $7, 8, 10, 11, 14, 15, 20, 20, 21$ $5.08$
Find the population standard deviation: $12, 19, 19, 21, 24$ $3.95$
Find the population standard deviation: $17, 17, 19, 19, 19, 23, 24, 28, 32$ $4.92$
Find the population standard deviation: $4, 10, 10, 12, 14$ $3.35$
Find the population standard deviation: $14, 17, 18, 28, 28$ $5.87$
Find the population standard deviation: $5, 7, 13, 15, 15$ $4.20$
Find the population standard deviation: $10, 10, 11, 12, 27$ $6.54$
Find the population standard deviation: $17, 18, 20, 30, 30$ $5.80$
Find the population standard deviation: $14, 16, 25, 25, 25$ $4.94$
Find the population standard deviation: $11, 16, 17, 19, 19, 20, 24$ $3.70$
Find the population standard deviation: $4, 4, 5, 7, 11, 16, 23$ $6.68$
Find the population standard deviation: $1, 2, 4, 6, 8, 9, 12, 15, 15$ $4.94$
Find the population standard deviation: $2, 4, 4, 5, 10, 11, 11, 11, 23$ $6.00$
Find the population standard deviation: $1, 1, 4, 10, 11, 14, 15$ $5.50$
Find the population standard deviation: $16, 20, 23, 23, 28$ $3.95$
Find the population standard deviation: $13, 18, 18, 22, 24$ $3.79$
Find the population standard deviation: $7, 15, 15, 16, 17$ $3.58$
Find the population standard deviation: $7, 7, 7, 12, 17$ $4.00$

How to do these

Find the population standard deviation: $2,; 4,; 4,; 4,; 5,; 5,; 7,; 9$

The mean is 40 over 8, which is 5.
The squared distances are 9, 1, 1, 1, 0, 0, 4, 16, totalling 32.
32 over 8 is 4, and the root of 4 is 2.

The answer is $2$ .

Where students go wrong

Forgetting the square root at the end, which hands in the variance. And on a sample, dividing by n instead of n - 1.

Also called measures of spread, variance, sample standard deviation or population standard deviation.

Questions about these worksheets

Yes. Every standard deviation sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Statistics is usually taken around 11th or 12th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the standard deviation questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

Forgetting the square root at the end, which hands in the variance. And on a sample, dividing by n instead of n - 1.

Standard deviation worksheet

Select your difficulty

Standard Deviation

Standard DeviationAnswer keyVersion 1

How to do these

Where students go wrong

Questions about these worksheets

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