Answer:
In summary, to make a two-way table appropriate, Logan needs to add another categorical variable to his survey. This will allow him to create a table that displays the relationship between his classmates' favorite science topic and this additional variable.
Explanation:
A two-way table is a type of table that displays the relationship between two categorical variables. In Logan's case, he wants to display the relationship between his classmates' favorite science topic and their respective frequencies. However, his teacher is right in saying that this is not an appropriate display since a two-way table requires two categorical variables, one for each dimension of the table.
To make a two-way table appropriate, Logan needs to add another categorical variable to his survey. For example, he could ask his classmates about their grade level or their gender. This additional variable will allow him to create a table that displays the relationship between his classmates' favorite science topic and their grade level or gender.
Once Logan has collected data on the three variables, he can create a two-way table that displays the frequencies of each combination of variables. For example, if Logan's additional variable is grade level, he can create a table that shows the frequency of biology, physics, and chemistry favorites for each grade level.
In summary, to make a two-way table appropriate, Logan needs to add another categorical variable to his survey. This will allow him to create a table that displays the relationship between his classmates' favorite science topic and this additional variable.