Answer:
Explanation:
A two-way table is a table that displays the frequencies of two categorical variables. It can be used to find possible associations and trends in data by comparing the frequencies in the different cells of the table.
For example, consider a two-way table that shows the number of students who received a "pass" or "fail" grade in a class, broken down by whether they attended office hours or not:
| Attended Office Hours | Did Not Attend Office Hours
-------|-----------------------|---------------------------
Pass | 25 | 15
Fail | 5 | 5
From this table, we can see that there is an association between attending office hours and receiving a pass grade, since the proportion of students who received a pass grade is higher among those who attended office hours compared to those who did not.
We can also use the two-way table to look for trends in the data. For example, we might notice that the proportion of students who passed the class is higher among those who attended office hours compared to those who did not. This suggests that attending office hours may be a predictor of success in the class.
To summarize, a two-way table can be used to find possible associations and trends in data by comparing the frequencies in the different cells of the table and looking for patterns in the data.