Over a fifteen-year period, the average final exam mark for QM1 students are listed below:

1. 62 1997 65 2002 82
2. 69 1998 76 2003 66
3. 53 1999 62 2004 59
4. 73 2000 55 2005 75
5. 68 2001 79 2006 64

a) Using a lower limit of 50 and with a class width of 5 create a frequency distribution showing the average final exam marks. (3 marks)

b) What is the approximate mean of the final QM1 exam marks - using the results of the frequency distribution i.e. grouped data? (2 marks)

c) What is the approximate standard deviation of the final QM1 exam marks using the results of the frequency distribution i.e. grouped data? (3 marks)

d) What percentage of QM1 final exam marks are greater than 70%?

(1 mark)

e) What percentage of QM1 final exam marks are less than 60%?

(1 mark)