The degrees of freedom for this data set is 12.
The degrees of freedom can be calculated based on the information provided in the table.
To find the degrees of freedom, we need to consider the number of categories and the number of variables being compared. In this case, we are comparing the responses across different age ranges and different levels of agreement.
Looking at the table, we can see that there are 4 categories for age range (18-20, 21-23, 24-25, and 26 and up) and 5 categories for agreement (strongly disagree, disagree, neutral, agree, and strongly agree).
The degrees of freedom can be calculated using the formula:
df = (number of categories for age range - 1) * (number of categories for agreement - 1)
So in this case, the degrees of freedom would be:
df = (4 - 1) * (5 - 1)
df = 3 * 4
df = 12
Therefore, the degrees of freedom for this data set is 12.