TheSchoolRun.com closure date
As we informed you a few months ago, TheSchoolRun has had to make the difficult decision to close due to financial pressures and the company has now ceased trading. We had hoped to keep our content available through a partnership with another educational provider, but this provider has since withdrawn from the agreement.
As a result, we now have to permanently close TheSchoolRun.com. However, to give subscribers time to download any content they’d like to keep, we will keep the website open until 31st July 2025. After this date, the site will be taken down and there will be no further access to any resources. We strongly encourage you to download and save any resources you think you may want to use in the future.
In particular, we suggest downloading:
- Learning packs
- All the worksheets from the 11+ programme, if you are following this with your child
- Complete Learning Journey programmes (the packs below include all 40 worksheets for each programme)
You should already have received 16 primary school eBooks (worth £108.84) to download and keep. If you haven’t received these, please contact us at [email protected] before 31st July 2025, and we will send them to you.
We are very sorry that there is no way to continue offering access to resources and sincerely apologise for the inconvenience caused.
What are mode, mean, median and range?
Contents
Mode, mean, median and range explained
Examples of mode, mean, median and range
Mode, mean, medium and range maths problems
Mode, mean, medium and range FAQs
What is mode, mean, median and range?
Until September 2015, under the old primary curriculum, children in Year 6 studied the mode, mean, median and range. The new curriculum states that they only have to learn about the mean, but they may well learn all the terms anyway.
These mathematical terms can be explained by use of the following results that show the length of time in seconds a group of children took to swim a length:
| Mark | Susan | Rita | Rebecca | Hannah | Robert | Matthew |
| 9 | 11 | 9 | 15 | 12 | 9 | 10 |
The mode is the value that appears most often in a set of data. In this case, the mode is 9 seconds.
The mean is the total of all the values, divided by the number of values. To find the mean, we add up all the results and then divide them by the number of swimmers:
9 + 11 + 9 + 15 + 12 + 9 + 10 = 75
75 ÷ 7 = 10.71428.... which can be rounded up to 11
The median is the middle number in a list of numbers ordered from smallest to largest.
9, 9, 9, 10, 11, 12, 15
so 10 is the median of this set of results.
Mode, mean, medium and range maths problems
In Year 6, children may be given a question like the following:
I asked 12 shoppers on Monday how much money they had in loose change. Here are my results: 35p, 62p, 39p, 99p, 42p, 68p
What is the mean average amount they had? Round your answer to the nearest whole pence.
A child would most likely be allowed a calculator to work out this question.
- They would need to add up the six amounts which would total 345p and then divide this by six, getting the answer 57.5p.
- Since the question asks you to round the answer to the nearest whole pence, the final answer would be 58p.
Children may also be asked to analyse results and give a worded answer to a problem, for example:
On Tuesday I asked another group of six shoppers and found they had between 12p and £1.30 each, with a mean value of 56p. What similarities and differences are there between the two groups?
The child would need to say that the range of results is larger, but the mean average is very similar.
Helpful resources for mode, mean, medium and range
Here are some helpful resources that will help your child understand these concepts and practise using them!
Mean, median, mode and range puzzles
Mode, mean, medium and range FAQs
How can I help my child understand these concepts better?
- Use real-life examples, like measuring the heights of family members or tracking daily temperatures.
- Practise with everyday items, such as counting the number of each type of fruit in a basket to find the mode.
- Create simple exercises, like calculating the average score from their test results.
- Use visual aids, like number lines or bar graphs, to illustrate how these concepts work.
What are common misconceptions children have about these concepts?
- Confusing the mode with the mean or median because they all deal with central values.
- Thinking that the mean always represents the typical value, even in the presence of outliers.
- Misunderstanding that the range only considers the extremes and does not provide information about the values in between.
- Believing that if there are no repeated numbers, there is no mode, whereas the mode can sometimes be identified as non-existent in such cases.
How do these concepts apply in real life?
- Mode: Used in market research to find the most popular products.
- Mean: Important in fields like economics, where average incomes or prices are analysed.
- Median: Often used in real estate to determine the middle price of homes, providing a better sense of the typical price than the mean.
- Range: Used in quality control to understand the variability in product manufacturing.
Understanding these concepts is crucial for data interpretation in various professional fields and everyday decision-making.
Can you provide a simple example to illustrate each concept?
Consider the following data set representing the number of books read by five students in a month: 3, 7, 7, 2, 5.
- Mode: 7 (since it appears most frequently)
- Mean: (3 + 7 + 7 + 2 + 5) / 5 = 24 / 5 = 4.8
- Median: Arranging the numbers in order: 2, 3, 5, 7, 7. The median is 5 (the middle value).
- Range: 7 (highest value) - 2 (lowest value) = 5
