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Two-Way Tables
Two-Way Tables
Two-way tables display data with more than one category and multiple sub-groups into a format which is easy to read.
Two-way tables allow us to organise data with more than one category and multiple sub-groups into a format which is easy to read.
Data is often collected in more than one category. When collecting data on students at a school, we might be interested in their year group, their favourite subject AND their favourite sport.
Some data is collected on a group of students
There are 63 boys in Year 7, 59 girls in Year 8, 126 boys in Year 7 and Year 8, and 178 pupils in Year 7.
![](https://cdn.hejalbert.se/teen/blocks-images/en_GB/kNmxzgWdSpO4EQpBlmNv.png)
There are two categories to split data into
We have information on gender, and also year-group. Therefore, a two-way table is a neat format to use.
![](https://cdn.hejalbert.se/teen/blocks-images/en_GB/kNmxzgWdSpO4EQpBlmNv.png)
We can add in the values we know
There are 63 boys in year 7. This number goes in the "Male" row and "Year 7" column.
![](https://cdn.hejalbert.se/teen/blocks-images/en_GB/Cgdh9J3RSGeduscAa5gf.png)
There are 59 girls in Year 8
![](https://cdn.hejalbert.se/teen/blocks-images/en_GB/fVWq4G26Qe6jlDZOxXbT.png)
There are 126 boys in Year 7 and Year 8
Therefore, the total number of boys is 126.
![](https://cdn.hejalbert.se/teen/blocks-images/en_GB/9TN6KzMZRvWnS4o97m41.png)
There are 178 pupils in Year 7
This means that we can fill out the "Total" for Year 7 pupils as 178.
![](https://cdn.hejalbert.se/teen/blocks-images/en_GB/UsonXZecQNugQXJ9hnxQ.png)
How many male students are in Year 8?
![](https://cdn.hejalbert.se/teen/blocks-images/en_GB/UsonXZecQNugQXJ9hnxQ.png)
There are 63 male students in year 8
There are 126 total male students, so 126−63=63
![](https://cdn.hejalbert.se/teen/blocks-images/en_GB/6DBE2mfQYuAnM7mPmxng.png)
How many students are in year 8 in total?
![](https://cdn.hejalbert.se/teen/blocks-images/en_GB/6DBE2mfQYuAnM7mPmxng.png)
There are 122 total students in Year 8
By adding together the male and female students in Year 8, we find 63+59=122
![](https://cdn.hejalbert.se/teen/blocks-images/en_GB/IOxCxmedSBCuNAO61xXN.png)
How many female students in Year 7?
![](https://cdn.hejalbert.se/teen/blocks-images/en_GB/IOxCxmedSBCuNAO61xXN.png)
There are 115 female students in Year 7
There are 178 total students in year 7, and 63 boys. Therefore: 178−63=115
![](https://cdn.hejalbert.se/teen/blocks-images/en_GB/4M7FJvQYClsDRR4zxMOg.png)
How many female students are there in total?
![](https://cdn.hejalbert.se/teen/blocks-images/en_GB/4M7FJvQYClsDRR4zxMOg.png)
There are 174 female students in total
Reading across the table: 115+59=174
![](https://cdn.hejalbert.se/teen/blocks-images/en_GB/HGOry6oJRuFYHgp0Uyeg.png)
So, how many students are there in total?
![](https://cdn.hejalbert.se/teen/blocks-images/en_GB/HGOry6oJRuFYHgp0Uyeg.png)
There are 300 students in total
Notice that both the total column and the total row add up to 300.
![](https://cdn.hejalbert.se/teen/blocks-images/en_GB/TyGk8RY8RWnAsZSpjdJQ.png)
Data is collected on the heights of 6 male cyclists. Would a two-way table be appropriate for displaying this data?