Mean & Median Question Generator
Builds a sheet of averages questions at the level you ask for. The values behind a mean are constructed so it divides exactly, a median question always has an odd count so the middle really is a value, and a mode question never has two answers. Every question is computed and checked directly — not a fabricated or AI-guessed fact.
What this generator does
Generates data sets and asks for the mean, median, mode or range, with answers. Generating the data rather than storing it means the sets can be built so the three averages genuinely differ — a data set where mean, median and mode all coincide teaches nothing about why there are three of them.
How to use this tool
- Choose a level and how many questions you want.
- Press make questions and work through the sheet.
- Show the answers to mark it, or show the working to see the total and the count each answer rests on.
- Enter a seed word to rebuild the same sheet later.
Common use cases
- Mean/median practice at home or school
- Quick statistics warm-ups
- Self-testing before a maths quiz
Randomness and fairness
Data values are drawn with the browser's cryptographic random number generator within the difficulty's range. Where the question asks for a mode, the draw ensures one value genuinely repeats more than the others, since a set with no mode is a valid but confusing question for a first exercise. A seed word rebuilds the same sheet later; it is for reproducibility, not cryptographic strength, so a seeded sheet is deterministic rather than unpredictable.
For how randomness is produced across the whole site, see how Generate Random works.
Common mistakes
- Finding the median without sorting first
- The median is the middle value of the ordered set. Taking the middle of the list as written is the most common error and produces a plausible wrong answer.
- Treating range as an average
- Range measures spread, not centre. It is the difference between largest and smallest, and it is not one of the three averages.