CREATING A TWO WAY FREQUENCY TABLE

We can probably guess that a two-way frequency table will deal with two variables (referred to as bi-variate data). In doing so, a two-way frequency table will examine the relationship between the two categorical variables. Two-way frequency tables are especially important, because they are often used to analyze survey results. 

Example 1 :

A survey is conducted among school students. 50 students are randomly selected and they are asked, whether they prefer dogs, cats or other pets. In the survey, 10 boys preferred dogs, 9 boys preferred cats, 3 boys preferred other pets, 12 girls preferred dogs, 6 girls preferred cats and 10 girls preferred other pets. Construct a two-way frequency table for the above data. 

Solution : 

Step 1 :

Make a table by taking the categories "Boy" and "Girl" in rows and the categories "Dogs", "Cats" and "Other pets" in columns as given below.

Step 2 :

Fill the tables using the data given in the question.

Step 3 :

Find the total for each gender by adding the frequencies in each row.

Step 4 : 

Find the total for each pet by adding the frequencies in each column.

Step 5 :

Find the grand total, which is the sum of the row totals as well as the sum of the column totals. Write this in the lower-right corner.

Example 2 :

100 students in a middle school are asked, how they travel to school. 25 boys prefer car, 34 boys prefer bus, 41 boys prefer other transports, 22 girls prefer car, 38 girls prefer bus and 40 girls prefer other transports.      Construct a two-way frequency table for the above data.

Solution : 

Step 1 :

Make a table by taking the categories "Boy" and "Girl" in rows and the categories "Car", "Bus" and "Other transports" in columns as given below.

Step 2 :

Fill the tables using the data given in the question.

Step 3 :

Find the total for each gender by adding the frequencies in each row.

Step 4 : 

Find the total for each transport by adding the frequencies in each column.

Step 5 :

Find the grand total, which is the sum of the row totals as well as the sum of the column totals. Write this in the lower-right corner.

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.