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Two-way frequency table.

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Consider you are conducting a poll asking people if they like chocolates. You record the data in the below format.

Poll on chocolates

Poll on chocolates

If you now break down the data into age categories of (5 – 10 years), (10 – 15 years), and (15 – 20 years), and plot the number of people who liked and disliked chocolates then the table would look like below.

Two way frequency table

This type of table is called a two-way frequency table.

A two-way table is a statistical table that demonstrates the observed number or frequency for two variables, the rows indicate one category and the columns indicate the other category. Two-way frequency tables show how many data points fit in each category. The row category in this example is “5-10 years”, “10-15 years” and “15-20 years”. The column category is their choice “Like chocolates” or “Do not like chocolates”. Each cell tells us the number (or frequency) of the people.

There is a lot of information that we can get from this small table. For example,

How many people were questioned? 

Answer: 10

How many people like chocolates? 

Answer: 6

In which age group do people like chocolate the most? 

Answer: 10 – 15 

Let us now have a look at another example: 

Example:

A survey of eighty people (40 men and 40 women) was taken on what genre of movie they would choose to watch, and the following responses were recorded:

  • 8 men preferred comedy movies. 
  • 12 men preferred action movies. 
  • 14 men preferred horror movies. 
  • 16 women preferred comedy movies. 
  • 12 women preferred action movies. 
  • 6 women preferred horror movies.

The information collected is used to build the following two-way table:

Two-way Table

Two way Table

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