8.SP.A.4: Two-way tables

Also written as 8.SP.4

Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables.

In plain words: Students build and read two-way tables of categorical data and use row or column relative frequencies to look for an association, like whether students with a curfew also tend to have chores.

Quick picks

Common mistake
Comparing counts instead of relative frequencies when groups differ in size: 15 of 20 (75%) is a higher rate than 24 of 40 (60%).
Builds on
6.RP.A.3Ratio and rate problems
Leads to
HSS.ID.B.5Two-way frequency tables
Example Problems
A bag contains 9 blue candies, 7 red candies and 5 green candies.
A candy is chosen from the bag at random.

Find the probability that the candy is: Not Orange
A letter is selected at random from the word F I B O N A C C I.

Find the probability that the letter is: Not A
Write your answer as a fraction or as a decimal rounded to the nearest hundredth.
A bag contains 9 blue candies, 7 red candies and 5 green candies.
A candy is chosen from the bag at random.

Find the probability that the candy is: Yellow
Khan Academy Resources
Two-way frequency tablesCreate two-way frequency tablesInterpret two-way tablesRead two-way frequency tablesAnalyze two-way frequency tablesCreate two-way relative frequency tablesTwo-way frequency tables and Venn diagramsInterpreting two-way tablesTwo-way relative frequency tables
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