Question

The first time I ever gave a stats exam, over a decade ago, I wound up with a very odd outcome for the grades. The midterm had a class average of 68%, which is perfectly fine for a class like this-- but the standard deviation was only 2%. I was horrified. Let's explore what that looked like. I had 37 students, if I recall correctly.a) Using Chebyshev's Theorem, at least how many students received a grade between 63% and 73% on the exam? (2 marks)b) Let's assume the marks were normally distributed. How many students received marks between 64% and 72% on the exam? Does it make sense that this number is greater than in (a)? (2 marks)c) I would say the students were rightly mad about it. What Standard Deviation would I have wanted instead if I was hoping to have one student get above 90% on the exam? Assume a normal distribution here and the mean still at 68%. (1 marks)

          The first time I ever gave a stats exam, over a decade ago, I wound up with a very odd outcome for the grades. The midterm had a class average of 68%, which is perfectly fine for a class like this-- but the standard deviation was only 2%. I was horrified. Let's explore what that looked like. I had 37 students, if I recall correctly.a) Using Chebyshev's Theorem, at least how many students received a grade between 63% and 73% on the exam? (2 marks)b) Let's assume the marks were normally distributed. How many students received marks between 64% and 72% on the exam? Does it make sense that this number is greater than in (a)? (2 marks)c) I would say the students were rightly mad about it. What Standard Deviation would I have wanted instead if I was hoping to have one student get above 90% on the exam? Assume a normal distribution here and the mean still at 68%. (1 marks)

Added by Alexis A.

Question

Please give Ace some feedback