Mean, Median, Mode and Range Explained for Kids (with Worked Examples)
By Ahmed, founder
Mean, median, mode and range are four ways of describing a set of numbers. They show up in Grades 5 to 8 maths, in science fair data and in everyday life, from weather reports to sports stats. Here’s how each works, with one data set we’ll use throughout.
Data set: daily high temperatures (°C) over seven days: 4, 7, 5, 9, 7, 3, 6.
Mean (the “fair share” average)
Add all the numbers, then divide by how many there are.
4 + 7 + 5 + 9 + 7 + 3 + 6 = 41. 41 ÷ 7 = about 5.9 °C.
Think of it as: if all seven days had the same temperature, what would it be?
Median (the middle)
Put the numbers in order, then pick the middle one.
3, 4, 5, 6, 7, 7, 9. The median is 6 °C.
With an even number of values, the median is halfway between the two middle numbers. For 3, 4, 5, 6, 7, 9, the middle two are 5 and 6, so the median is 5.5.
Think of it as: the middle of the road, with half the values below and half above.
Mode (the most common)
The number that appears most often.
3, 4, 5, 6, 7, 7, 9. The mode is 7 °C.
A data set can have no mode (every value different), one mode, or several.
Think of it as: the “most popular” value.
Range (the spread)
Biggest minus smallest.
9 − 3 = 6 °C.
Think of it as: how far apart the extremes are.
Which one should I use?
- Mean uses every number, so it’s good for “typical” values, but one extreme value can pull it a long way. A single unusually hot day would raise the mean noticeably.
- Median isn’t affected by extremes, so it’s good for data with outliers, such as house prices.
- Mode is useful for categories and for “what’s the most common?”
- Range tells you about spread, and a small range means consistent data.
Together they give a fuller picture than any one alone. Two cities can have the same mean temperature and very different ranges.
Common mistakes
- Forgetting to order the numbers before finding the median.
- Dividing by the wrong number when finding the mean (count your values).
- Thinking there must be a mode.
- Mixing up range with the middle.
Practise with real data
Collect your own numbers: reaction times from a ruler-drop test, daily temperatures, the number of jumps in a minute. Real data is more motivating than made-up numbers.
Our free Mean, Median, Mode and Range pack has nine printable pages: teacher notes, a one-page reference, three practice pages, word problems built from real Environment and Climate Change Canada weather data, a check-in and an answer key. For a hands-on lesson, try How fast are our reaction times? in Data Detectives. Sign up for three lessons free.