Two-Way Tables

MathematicsAQAEdexcelGCSEUnit: Probability
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The basics

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.

What is a two-way table?: A table that shows frequencies for two categorical variables
Key terms

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
Exam tip

Earn the mark scheme marks

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?

Tap an answer to check it

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