Salaries, in thousands of dollars: 41, 180, 41, 36, 32, 35. Which describes the center better, the mean or the median?

Median: the outlier 180 pulls the mean up

Home prices, in thousands of dollars: 251, 271, 275, 259, 294, 1600. Which describes the center better, the mean or the median?

Median: the outlier 1600 pulls the mean up

Mean, median and mode worksheet for Statistics

In Statistics these are measures of center chosen for a reason: the median for skewed data or outliers, the mean when the data is roughly symmetric. A missing value can be found from the mean, since the mean times the count is the total.

Also taught in Pre-Algebra and Algebra 1, each at its own level and with its own examples.

Select your difficulty

Pick more than one for a sheet that mixes them.

The preview can look cramped on a phone. The PDF and printed sheet come out normal.



Sigma Prep · sigmaprep.io/worksheets Name Mean, Median, Mode and Range Date Period Answer each question. Find the mean Find the mean: $2, 3, 4, 7, 8, 8, 9, 12, 19$ Find the mean: $7, 8, 8, 8, 14, 15, 17$ Find the mean: $13,$ $14,$ $18,$ $19,$ $20,$ $21,$ $21,$ $23,$ $25,$ $26$ Find the median Find the median: $4, 6, 9, 11, 12, 12$ Find the median: $8, 9, 9, 11, 18$ Find the median: $7,$ $7,$ $10,$ $11,$ $12,$ $18,$ $19,$ $20$ Find the mode Find the mode: $1, 3, 5, 7, 7, 12, 14, 15$ Find the mode: $6$ , $26$ , $41$ , $44$ , $67$ , $34$ , $36$ , $34$ , $44$ Find the mode: $12, 17, 19, 19, 23$ Find the mode: $68$ , $12$ , $48$ , $64$ , $30$ , $32$ , $62$ , $19$ Find the mode: $14, 16, 18, 18, 20, 23, 24$ Find the mode: $18$ , $59$ , $26$ , $72$ , $21$ , $21$ , $72$ Find the range Find the range: $13, 13, 20, 22, 23, 24, 25$ Find the range: $4,$ $4,$ $4,$ $11,$ $13,$ $13,$ $14,$ $14,$ $16,$ $17$ Find the range: $11, 11, 13, 14, 22, 25$ Find a missing value from the mean A row of 5 plants has a mean height of 76 cm. Four of them are $83, 68, 85$ and $85$ cm tall. How many centimeters tall is the last one? The high temperatures on 4 days were $57, 72, 84$ and $52$ degrees. What high on the next day makes the mean 69 degrees? The mean of $81, 65, 91, x$ and $83$ is 79. Find $x$ . Choose the mean or the median Salaries, in thousands of dollars: $41$ , $180$ , $41$ , $36$ , $32$ , $35$ . Which describes the center better, the mean or the median? Minutes spent on homework: $36$ , $37$ , $40$ , $32$ , $40$ , $37$ , $32$ . Which describes the center better, the mean or the median? Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Mean, Median, Mode and Range

Date Period

Answer each question.

Find the mean
Find the mean:
$2, 3, 4, 7, 8, 8, 9, 12, 19$
Find the mean:
$7, 8, 8, 8, 14, 15, 17$
Find the mean:
$13,$ $14,$ $18,$ $19,$ $20,$ $21,$ $21,$ $23,$ $25,$ $26$

Find the median
Find the median:
$4, 6, 9, 11, 12, 12$
Find the median: $8, 9, 9, 11, 18$
Find the median:
$7,$ $7,$ $10,$ $11,$ $12,$ $18,$ $19,$ $20$

Find the mode
Find the mode:
$1, 3, 5, 7, 7, 12, 14, 15$
Find the mode: $6$ , $26$ , $41$ , $44$ , $67$ , $34$ , $36$ , $34$ , $44$
Find the mode:
$12, 17, 19, 19, 23$
Find the mode: $68$ , $12$ , $48$ , $64$ , $30$ , $32$ , $62$ , $19$
Find the mode:
$14, 16, 18, 18, 20, 23, 24$
Find the mode: $18$ , $59$ , $26$ , $72$ , $21$ , $21$ , $72$

Find the range
Find the range:
$13, 13, 20, 22, 23, 24, 25$
Find the range:
$4,$ $4,$ $4,$ $11,$ $13,$ $13,$ $14,$ $14,$ $16,$ $17$
Find the range:
$11, 11, 13, 14, 22, 25$

Find a missing value from the mean
A row of 5 plants has a mean height of 76 cm. Four of them are $83, 68, 85$ and $85$ cm tall. How many centimeters tall is the last one?
The high temperatures on 4 days were $57, 72, 84$ and $52$ degrees. What high on the next day makes the mean 69 degrees?
The mean of $81, 65, 91, x$ and $83$ is 79. Find $x$ .

Choose the mean or the median
Salaries, in thousands of dollars: $41$ , $180$ , $41$ , $36$ , $32$ , $35$ . Which describes the center better, the mean or the median?
Minutes spent on homework: $36$ , $37$ , $40$ , $32$ , $40$ , $37$ , $32$ . Which describes the center better, the mean or the median?



Sigma Prep · sigmaprep.io/worksheets Name Mean, Median, Mode and RangeAnswer keyVersion 3 Date Period Answer each question. Find the mean Find the mean: $2, 3, 4, 7, 8, 8, 9, 12, 19$ $8$ Find the mean: $7, 8, 8, 8, 14, 15, 17$ $11$ Find the mean: $13,$ $14,$ $18,$ $19,$ $20,$ $21,$ $21,$ $23,$ $25,$ $26$ $20$ Find the median Find the median: $4, 6, 9, 11, 12, 12$ $10$ Find the median: $8, 9, 9, 11, 18$ $9$ Find the median: $7,$ $7,$ $10,$ $11,$ $12,$ $18,$ $19,$ $20$ $11.5$ Find the mode Find the mode: $1, 3, 5, 7, 7, 12, 14, 15$ $7$ Find the mode: $6$ , $26$ , $41$ , $44$ , $67$ , $34$ , $36$ , $34$ , $44$ $34$ and $44$ Find the mode: $12, 17, 19, 19, 23$ $19$ Find the mode: $68$ , $12$ , $48$ , $64$ , $30$ , $32$ , $62$ , $19$ No mode Find the mode: $14, 16, 18, 18, 20, 23, 24$ $18$ Find the mode: $18$ , $59$ , $26$ , $72$ , $21$ , $21$ , $72$ $21$ and $72$ Find the range Find the range: $13, 13, 20, 22, 23, 24, 25$ $12$ Find the range: $4,$ $4,$ $4,$ $11,$ $13,$ $13,$ $14,$ $14,$ $16,$ $17$ $13$ Find the range: $11, 11, 13, 14, 22, 25$ $14$ Find a missing value from the mean A row of 5 plants has a mean height of 76 cm. Four of them are $83, 68, 85$ and $85$ cm tall. How many centimeters tall is the last one? $59$ The high temperatures on 4 days were $57, 72, 84$ and $52$ degrees. What high on the next day makes the mean 69 degrees? $80$ The mean of $81, 65, 91, x$ and $83$ is 79. Find $x$ . $75$ Choose the mean or the median Salaries, in thousands of dollars: $41$ , $180$ , $41$ , $36$ , $32$ , $35$ . Which describes the center better, the mean or the median?Median: the outlier $180$ pulls the mean up Minutes spent on homework: $36$ , $37$ , $40$ , $32$ , $40$ , $37$ , $32$ . Which describes the center better, the mean or the median?Mean: there are no outliers Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Mean, Median, Mode and RangeAnswer keyVersion 3

Date Period

Answer each question.

Find the mean
Find the mean:
$2, 3, 4, 7, 8, 8, 9, 12, 19$ $8$
Find the mean:
$7, 8, 8, 8, 14, 15, 17$ $11$
Find the mean:
$13,$ $14,$ $18,$ $19,$ $20,$ $21,$ $21,$ $23,$ $25,$ $26$ $20$

Find the median
Find the median:
$4, 6, 9, 11, 12, 12$ $10$
Find the median: $8, 9, 9, 11, 18$ $9$
Find the median:
$7,$ $7,$ $10,$ $11,$ $12,$ $18,$ $19,$ $20$ $11.5$

Find the mode
Find the mode:
$1, 3, 5, 7, 7, 12, 14, 15$ $7$
Find the mode: $6$ , $26$ , $41$ , $44$ , $67$ , $34$ , $36$ , $34$ , $44$ $34$ and $44$
Find the mode:
$12, 17, 19, 19, 23$ $19$
Find the mode: $68$ , $12$ , $48$ , $64$ , $30$ , $32$ , $62$ , $19$ No mode
Find the mode:
$14, 16, 18, 18, 20, 23, 24$ $18$
Find the mode: $18$ , $59$ , $26$ , $72$ , $21$ , $21$ , $72$ $21$ and $72$

Find the range
Find the range:
$13, 13, 20, 22, 23, 24, 25$ $12$
Find the range:
$4,$ $4,$ $4,$ $11,$ $13,$ $13,$ $14,$ $14,$ $16,$ $17$ $13$
Find the range:
$11, 11, 13, 14, 22, 25$ $14$

Find a missing value from the mean
A row of 5 plants has a mean height of 76 cm. Four of them are $83, 68, 85$ and $85$ cm tall. How many centimeters tall is the last one? $59$
The high temperatures on 4 days were $57, 72, 84$ and $52$ degrees. What high on the next day makes the mean 69 degrees? $80$
The mean of $81, 65, 91, x$ and $83$ is 79. Find $x$ . $75$

Choose the mean or the median
Salaries, in thousands of dollars: $41$ , $180$ , $41$ , $36$ , $32$ , $35$ . Which describes the center better, the mean or the median?Median: the outlier $180$ pulls the mean up
Minutes spent on homework: $36$ , $37$ , $40$ , $32$ , $40$ , $37$ , $32$ . Which describes the center better, the mean or the median?Mean: there are no outliers

How to do these

The mean of $12, 15, 20$ and $x$ is 16. Find $x$ .

Four values with mean 16 total 4 × 16 = 64.
The known values add to 47.
64 - 47.

The answer is $17$ .

Where students go wrong

Dividing by the wrong count when a value is missing. With x there are four values, so the total is 4 × 16, not 3 × 16.

Also called measures of central tendency, average or mean median mode range.

What you can put on this worksheet

The mean: Find the mean:
$7, 10, 10, 10, 14, 15$ → $11$
The median: Find the median:
$7, 10, 10, 10, 14, 15$ → $10$
The mode: Find the mode:
$7, 10, 10, 10, 14, 15$ → $10$
The range: Find the range:
$7, 10, 10, 10, 14, 15$ → $8$
Decimal data: Find the range of these shoe sizes: $7.5$ , $10$ , $10.5$ , $10.5$ , $12$ , $9$ , $10$ → $4.5$
What removing an outlier does to the mean: The data set $7, 10, 10, 10, 14, 15, 36$ has an outlier. By how much does the mean decrease when the outlier is removed? → $\frac{25}{7}$
The mean after a value is added or removed: The average of a set of $6$ numbers is $13$ . One of them, $23$ , is removed. Find the new mean. → $11$
A missing value from the mean: The mean of 4 numbers is 17. Three of them are $19, 24$ and $7$ . What is the other number? → $18$
Two modes, or none: Find the mode: $48$ , $72$ , $39$ , $67$ , $66$ , $48$ , $67$ → $48$ and $67$
Mean or median?: Home prices, in thousands of dollars: $251$ , $271$ , $275$ , $259$ , $294$ , $1600$ . Which describes the center better, the mean or the median? → Median: the outlier $1600$ pulls the mean up
Mean, median, range and IQR: Find the mean of the data in the graph. — rainy days: a bar graph of days for jan, feb, mar, apr, may → $3.8$

Questions about these worksheets

Yes. Every mean, median and mode 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 mean, median and mode 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.

You pick from 11: the mean, the median, the mode, the range, decimal data, what removing an outlier does to the mean, the mean after a value is added or removed, a missing value from the mean, two modes, or none, mean or median? and mean, median, range and iqr. Tick as many as you want and set how many of each, or let it spread them evenly.

Finding the median without sorting first. The middle of the list as written is not the median unless the list happens to already be in order.

Mean, median and mode worksheet for Statistics

Select your difficulty

Find the mean

Find the median

Find the mode

Find the range

Find a missing value from the mean

Choose the mean or the median

Find the mean

Find the median

Find the mode

Find the range

Find a missing value from the mean

Choose the mean or the median

How to do these

Where students go wrong

What you can put on this worksheet

Questions about these worksheets

Are these mean, median and mode worksheets free?+

Do the mean, median and mode worksheets come with an answer key?+

Are these mean, median and mode worksheets printable?+

What grade are these mean, median and mode worksheets for?+

Can I get a different version of the same mean, median and mode worksheet?+

Is this a free alternative to Kuta Software for mean, median and mode?+

Can I choose how hard the mean, median and mode questions are?+

What kinds of question are on a mean, median and mode worksheet?+

What do students get wrong with mean, median and mode?+