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### Course: Statistics and probability > Unit 1

Lesson 2: Two-way tables- Two-way frequency tables
- Read two-way frequency tables
- Create two-way frequency tables
- Create two-way relative frequency tables
- Analyze two-way frequency tables
- Interpret two-way tables
- Trends in categorical data
- Two-way relative frequency tables and associations
- Two-way tables review

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# Two-way frequency tables

Learn how to read and use two-way frequency tables.

Let's jump right in and look at a two-way frequency table that came from asking $100$ students whether they prefer cats or dogs.

Preference | Male | Female |
---|---|---|

Prefers dogs | ||

Prefers cats | ||

No preference |

The columns of the table tell us whether the student is a male or a female. The rows of the table tell us whether the student prefers dogs, cats, or doesn't have a preference.

Notice that there are

**two variables**-- gender and preference-- this is where the**two**in**two**-way frequency table comes from.The cells tell us the number (or frequency) of students. For example, the $36$ is in the $36$ male students who prefer dogs.

**male column**and the**prefers dogs row.**This tells us that there are## Row and column totals

To find the number of students that prefer cats, we just add up the number of students in the

**prefers cats row**:Preference | Male | Female |
---|---|---|

Prefers dogs | ||

Prefers cats | ||

No preference |

## Let's practice!

### Problem 1

### Problem 2

### Problem 3

## Challenge problem

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