Question

This Assignment worth 5 marks. Good Luck! 1) (1.5 marks) in a class of 25 students, 24 of them took an exam in class and 1 student took a make-up exam the following day. The professor graded the first batch of 24 exams 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 exam. (a) Does the new student's score increase or decrease the average score? Justify your answer. (b) What is the new average? Show your work. Hint: Use weighted mean. (c) Does the new students scare increase or decrease the standard deviation of the scores? Justify your answer.

Answer 1

Solution 25 ② Total Students - score g 74 points Students have average sum of make will scores This * 24 Students equal to (24.* 74 ) points 1776 points 25th Student had a score of 64 points so total Score of 25 Students 1776764 = 1840. New average score 1840/25 - 73.6 points new score is less @ since , the Students previous average score than decreases the average (ie 74), it score The new bb score average is 73.6 points © standard deviation of 24 Students is 8.9 points since the new less than the 64 one observation added is Standard deviation (74-8.90=65.1), the mean away from hence it deviation . will reduce the standard

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