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Maths Quiz - Handling Data (Year 6) (Questions)

In KS2 Maths, children learn about handling data. In Years Five and Six, they explore collecting, recording, and presenting data using graphs and charts. They also discover the concepts of range and averages—mean, median, and mode.

Handling data means using tables, charts, and diagrams. Have you heard of Carroll diagrams? They're named after Lewis Carroll, who wrote Alice's Adventures in Wonderland. Data also includes ranges and averages. Range is the difference between the highest and lowest frequencies. There are three types of averages: mean, median, and mode.

Test your knowledge with this fun quiz designed for 9-11 year olds and see how much you've learned about handling data and averages.

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1. What is the range in a set of data?
[ ] The difference between the greatest and least
[ ] The middle value
[ ] The least value
[ ] The greatest value
2. What is the range in this set of data? Blue 230, Red 150, Yellow 348, Green 4
[ ] 348 - 230
[ ] 230 - 150
[ ] 230 - 4
[ ] 348 - 4
3. What is the name of the most common frequency of data?
[ ] Mean
[ ] Range
[ ] Mode
[ ] Median
4. Which is the mode of this data: 2, 5, 7, 2 , 7, 2, 3?
[ ] 2
[ ] 3
[ ] 5
[ ] 7
5. What is the name of the chart that represents the data in the fractions of a circle?
[ ] Cake chart
[ ] Circus chart
[ ] Bar chart
[ ] Pie chart
6. What fraction of the pie chart will represent Bus using this data: Train 25, Bus 50, Cycle 15, Walk 10?
[ ] 1⁄2
[ ] 1⁄3
[ ] 1⁄10
[ ] 1⁄4
7. What is the median?
[ ] The difference between the greatest and least frequency
[ ] The middle frequency
[ ] The most common frequency
[ ] The highest frequency
8. Which is the median in this set of data: 2, 4, 4, 8, 10, 16?
[ ] 2
[ ] 4
[ ] 6
[ ] 8
9. How is the mean calculated?
[ ] Add all the frequencies and divide by the number of frequencies
[ ] Add all the frequencies together
[ ] Add all the frequencies together and subtract the number of frequencies
[ ] Add all the frequencies together and divide by 2
10. What is the mean of this data: 11, 14, 17, 18, 20?
[ ] 16
[ ] 40
[ ] 75
[ ] 80

You can find more about this topic by visiting BBC Bitesize - Tables, graphs and charts

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Maths Quiz - Handling Data (Year 6) (Answers)
1. What is the range in a set of data?
[x] The difference between the greatest and least
[ ] The middle value
[ ] The least value
[ ] The greatest value
If you find that 23 people have a pet dog and that only one person has a pet tortoise the range of your data is 1-23
2. What is the range in this set of data? Blue 230, Red 150, Yellow 348, Green 4
[ ] 348 - 230
[ ] 230 - 150
[ ] 230 - 4
[x] 348 - 4
The highest frequency is 348 for yellow, and the lowest is 4 for green
3. What is the name of the most common frequency of data?
[ ] Mean
[ ] Range
[x] Mode
[ ] Median
Mode is one method of finding an average of a set of numbers or data
4. Which is the mode of this data: 2, 5, 7, 2 , 7, 2, 3?
[x] 2
[ ] 3
[ ] 5
[ ] 7
Out of the seven numbers there are three 2s, two 7s, one 5 and one 3. 2 is the most common so therefore the mode
5. What is the name of the chart that represents the data in the fractions of a circle?
[ ] Cake chart
[ ] Circus chart
[ ] Bar chart
[x] Pie chart
Pie charts look a bit like pies that have been cut into slices
6. What fraction of the pie chart will represent Bus using this data: Train 25, Bus 50, Cycle 15, Walk 10?
[x] 1⁄2
[ ] 1⁄3
[ ] 1⁄10
[ ] 1⁄4
The total of all data is 100 so Bus is 50 - therefore half
7. What is the median?
[ ] The difference between the greatest and least frequency
[x] The middle frequency
[ ] The most common frequency
[ ] The highest frequency
Median is another method of finding an average of a set of numbers or data
8. Which is the median in this set of data: 2, 4, 4, 8, 10, 16?
[ ] 2
[ ] 4
[x] 6
[ ] 8
There are two frequencies in the middle, so we add them and divide by 2
9. How is the mean calculated?
[x] Add all the frequencies and divide by the number of frequencies
[ ] Add all the frequencies together
[ ] Add all the frequencies together and subtract the number of frequencies
[ ] Add all the frequencies together and divide by 2
Mean is the third method of finding an average of a set of numbers or data
10. What is the mean of this data: 11, 14, 17, 18, 20?
[x] 16
[ ] 40
[ ] 75
[ ] 80
11 + 14 + 17 + 18 + 20 = 80
80 ÷ 5 = 16
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