Final answer:
The relationship between class size and average grade percentage cannot be determined from the given data.
Step-by-step explanation:
The question asks about the relationship between class size and average grade percentage. To determine this relationship, we can calculate the correlation coefficient between the two variables. The correlation coefficient measures the strength and direction of the linear relationship between two variables.
In this case, we have a random sample of classes and their corresponding class sizes and average grade percentages. We can calculate the correlation coefficient using statistical software or by hand to determine the relationship. If the correlation coefficient is positive, it indicates a positive correlation, meaning that as class size increases, the average grade percentage also tends to increase. If the correlation coefficient is negative, it indicates a negative correlation, meaning that as class size increases, the average grade percentage tends to decrease. If the correlation coefficient is close to zero, it indicates no correlation or a very weak relationship between class size and average grade percentage.
Without calculating the correlation coefficient for the given data, we cannot determine the precise relationship, so the answer is option d) The correlation cannot be determined from the given data.