Grade 6 Mean, Median and Mode Worksheets — Free Printable
Sixth grade is where a set of numbers gets summarised by a single one. Mean, median and mode each answer "what is typical here?" in a different way, and the whole point of meeting all three in one year is that they disagree — a set can have a mean of twelve, a median of nine and a mode of seven, and each is telling the truth about something different.
Each of the three has its own sub-skill here, so a child can practise one at a time rather than guessing which is wanted. Every answer is a whole number by construction.
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Data Handling · Grade 6
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Grade 6 · 3 pages · A4More Grade 6 data handling skills
Each one generates a different kind of question, with its own three levels and answer key.
What each level generates
Grade 6 find the mean — the exact skill behind each difficulty setting, straight from the generator.
- Level 1Four values
- Level 2Five values
- Level 3Six larger values
Grade levels follow the progression common to most English-language curricula — not one specific national curriculum. Every level shows exactly what it generates, so you can check the fit with your own program. See the full scope & sequence →
Why the answers are always whole numbers
The data sets on these sheets are built backwards from the answer, so the mean always divides exactly and the median always lands on a value rather than between two. That is a deliberate restriction and it is worth knowing about.
The reason is that a mean of 6.25 is a correct answer that needs decimal division — a skill that arrives at this same grade and should not be a hidden prerequisite for a data page. A child meeting the mean for the first time should be thinking about sharing a total out evenly, not about where the decimal point goes. When the decimal division is secure, non-integer means are the natural next step and this generator is not where to practise them.
Mode without range, and why
The obvious fourth card here would be the range, and it is deliberately absent. This site already teaches it: the Subtraction topic's How Many More sub-skill ends, at every grade from one to four, with "what is the difference between the most and the fewest?" over a three-value set. That is the range, and it has been on the site the whole time under another name.
Adding a Range card at grade 6 would take a question a seven-year-old already answers and sell it as a sixth-grade skill. If your child needs range practice specifically, the Subtraction sheets at grades 3 and 4 are where it lives.
Frequently asked questions
▸What is the difference between the mean, the median and the mode?
The mean shares the total out evenly. The median is the middle value once the set is in order. The mode is the value that appears most often. They answer the same question — what is typical — in three different ways, and they often disagree.
▸Do the answers ever come out as decimals?
No. The sets are built so the mean divides exactly and the median lands on a value. That keeps the focus on what the statistic means rather than on decimal division.
▸How do you find the median of an even-sized set?
It sits halfway between the two middle values. The third level of the median sub-skill uses even-sized sets built so those two middle values are equal, so the median is still a whole number the child can name.
▸Why is there no range worksheet here?
Because the site already has one. The Subtraction topic's How Many More sub-skill asks for the difference between the largest and the smallest amount at grades 1 to 4. Duplicating it as a grade 6 skill would be misleading.
▸How many questions make a good session?
Ten. Each one needs the set ordered or totalled, so ten questions is a real piece of work at this grade.