A statistics class with fifteen students has just taken their first examination for the semester. A sample of eleven scores out of the fifteen students enrolled in the class shows the following in percentages: 80, 40, 90, 30, 50, 80, 60, 20, 45, 75, and 95?

(a) Based on the information above, how well do you think the entire fifteen students in the class performed in this examination? Please, use statistical analysis to justify or support your answer.

(b) Can you also estimate a possible percentage range of scores for any other remaining student not among the eleven sampled in that class? Please, use statistical analysis to justify or support your answer.