A two-way table is a frequency table that shows data obtained from one source that belongs to two categories. We will first illustrate how to make a two-way table by using a survey example. Next, the table that we built will help us to explain how we can read a two-way table.
Making a Two-Way Table
Let's consider the results of survey in which 80 students were asked whether they play a musical instrument and whether they play a sport.
16 students do both activities.
9 students do not practice any activity.
41 students play an instrument.
46 students play a sport.
Please note that this is only one survey example of many possibilities. Let's make a two-way table using the above information.
Determine the Categories
We first need to determine the categories of our data. In this case, the categories are Play a Sport and Play an Instrument. Each category is further divided into the possible answers, Yes and No. We can now label our rows and columns.
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