In: Statistics and Probability
In a class of 25 students, 24 of them took an assignment in class and 1 student took a make-up assignment the following day. The professor graded the first batch of 24 assignments and found an average score of 74 points with a standard deviation of 8.9 points. The student who took the make-up the following day scored 64 points on the assignment.
(a) Does the new student's score increase or decrease the average score? how
(b) What is the new average? Show your work - Use weighted mean.
(c) Does the new student's score increase or decrease the standard deviation of the scores? Justify your answer.