Start by filling in the two-way table with the given values.
Chicken
Beef
Total
Rice
20
10
30
Pasta
40
30
70
Total
60
40
100
Practice makes perfect
A two-way table is a frequency table that displays data collected from one source that belongs to two different categories. One category of data is represented by rows and the other is represented by columns. We want to organize the given information in a two-way table. To do so, we will follow three steps.
Construct an empty table with the appropriate column and row headers.
Fill in the table with the given values.
Find the rest of values.
Let's do these three things one at a time.
Constructing the Table
We are told that customers were asked whether they liked chicken or beef and wether they liked rice or pasta. This information is enough to determine the appropriate column and row headers for our table.
Chicken
Beef
Total
Rice
Pasta
Total
Filling in the Table
We are told that of the 30 customers that like rice, 20 like chicken. Moreover, we know that 60 customers like chicken. There were 100 customers in total. Let's write the given information in our table.
Chicken
Beef
Total
Rice
20
30
Pasta
Total
60
100
Finding the Missing Values
To calculate the number of customers that like beef and rice, we subtract the number of people who like chicken and rice from total number of people who like rice. The total number of customers who like beef is the total number of people who like chicken subtracted from the total number of surveyed customers.
People Who Like Rice and Beef:& 30- 20= 10
People Who Like Beef:& 100- 60= 40
Let's complete the table with new information.
Chicken
Beef
Total
Rice
20
10
30
Pasta
Total
60
40
100
Let's calculate the differences of the last row and the first row to find the missing values.
People Who Like Pasta and Chicken:& 60- 20= 40
People Who Like Pasta and Beef:& 40- 10= 30
People Who Like Pasta:& 100- 30=70
Finally, we can complete our table!
