Start by filling in the two-way table with the given values.
Agree with Rules
Do Not Agree with Rules
Total
Males
38
70
108
Females
41
51
92
Total
79
121
200
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 boys and girls are surveyed as to whether or not they agree with new rules in the cafeteria. This information is enough to determine the appropriate column and row headers for our table.
Agree with Rules
Do not Agree with Rules
Total
Males
Females
Total
Filling in the Table
We are told that 38 males agree with the new rules and 70 do not. Of the 92 females surveyed, 41 agree with rules.
Let's write the given information in our table.
Agree with Rules
Do Not Agree with Rules
Total
Males
38
70
Females
41
92
Total
Finding the Missing Values
To calculate the number of surveyed males, we add the number of males who agree with rules and who do not. The number of females who do not agree with new rules is the number of females who agree with rules subtracted from the total number of females.
Total of Males:& 38+ 70= 108
Females Who Do Not Agree:& 92- 41= 51
Let's complete the table with new information.
Agree with Rules
Do Not Agree with Rules
Total
Males
38
70
108
Females
41
51
92
Total
Let's calculate the sums of each column to find the missing values.
People Who Agree with Rules:& 38+ 41=79
People Who Do Not Agree with Rules:& 70+ 51=121
Finally, we have two ways of calculating the grand total. We can add the number of females to the number of males, or we can add the students who agree with rules to the students who do not. These two numbers must be the same!
Grand total
l 108+ 92 = 200 79+121=200 âś“
Finally, we can complete our table!
