Mean, Median, Mode & Range · Grades 4–12
Mean, Median, Mode & Range Worksheets
Median is the middle, mode is the most, and that rhyme is half the battle. Data worksheets covering mean, median, mode, and range. Grade 12 adds standard deviation, a measure of how spread out a sample is.
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What it is
Mean, median, mode, and range summarise a set of numbers in different ways.
Why it matters
Mean and median can tell very different stories about the same data — a single outlier drags one but leaves the other alone, which is why picking the right one matters as much as computing it correctly.
How to do it
- Mean: add all values and divide by how many there are.
- Median: sort the values and take the middle (average the two middle if even).
- Mode: the value that appears most; Range: largest minus smallest.
Examples by level
- BeginnerRange of 1, 10, 7, 6, 5 =Answer9
- IntermediateRange of 13, 7, 7, 5 =Answer8
- AdvancedMedian of 6, 20, 22, 16, 6, 7, 22, 10 =Answer13
Examples are generated by the same engine as the worksheets, so they're always mathematically correct. Built to avoid repeats, not reshuffle the same handful of questions.
Common mistakes
- Forgetting to sort before finding the median.
- Confusing mean and median.
- Dividing by the wrong count for the mean.
- Assuming every data set has exactly one mode: some have none, and some have several.
- Dividing by n instead of n−1 when finding a SAMPLE standard deviation.
Tips
- Always sort before finding the median.
- There can be more than one mode, or none.
For parents
Median = 'middle', Mode = 'most'. The rhyme keeps them apart.
For teachers
Give a data set with an outlier to show how it pulls the mean but not the median.
Key vocabulary
- mean
- the average
- median
- the middle value
- mode
- the most frequent value
- range
- max minus min
Frequently asked questions
- What is the difference between mean and median?
- The mean is the average (sum ÷ count); the median is the middle value once the data is sorted.
- How do you find the mode?
- Find the value that appears most often in the list. A data set can have no mode (every value is unique) or more than one (a tie for most frequent).
- How do you find the range?
- Subtract the smallest value from the largest.
- What is standard deviation?
- A measure of how spread out a data set is: find the mean, square each value's distance from it, average those (dividing by n−1 for a sample), then take the square root.
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