Organizing Data in Tables
Organizing Data in Tables
When survey results show how many men and women prefer different types of music, or how many students in different year groups choose various subjects, we need a clear way to organize this information. Two-way tables provide a systematic method to display and analyze data involving two variables.
These tables are like spreadsheets for probability - they help us see patterns and calculate chances from organized data.
Mathematics glossary
- What is a two-way table?
- A table that shows frequencies for two categorical variables
- What is a joint frequency?
- The number in each cell, representing the intersection of a row and column
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Exam Tips
- Always check totals - row totals + column totals should equal grand total
- Read carefully - distinguish between "and" (joint) vs "or" (marginal)
- For conditional probability - use the relevant row or column as the denominator
- Show your working - write probabilities as fractions first
- Check your answer - probability should be between 0 and 1
Now try it yourself
Quiz · Question 1 of 12
A two-way table shows information about 80 students. It shows whether they study French or Spanish, and whether they are in Year 10 or Year 11. The total number of Year 10 students who study French is the value found by looking at which intersection?
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