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Question 1 a) The number of hours spent on part time jobs in a semester of a sample of 10 students are given below: 82 89 42 45 48 53 56 61 64- 79 (i) State the variable of interest. Indicate whether this variable is a quantitative discrete, (2 marks) quantitative continuous, or qualitative variable. (5 marks) (ii) Find the interquartile range. b ) The following frequency distribution shows the amount of milk (to the nearest litres) obtained from a sample of 60 cows at Farm A on a certain day. Amount of milk (litres) Number of cows 5-9 6 10 - 14 8 15 - 19 20 20 -24 12 25 -34 10 35 or more 4 (i) Construct a histogram for the frequency distribution and describe the shape of the distribution. (6 marks) (ii) Estimate the mode from your histogram and interpret your result. (2 marks) (iii) Calculate the mean and the standard deviation of the above data. (7 marks) (iv) The mean and standard deviation of the amount of milk (in litres) obtained from a sample of 60 cows at Farm B on a certain day were 23 and 7 respectively. Obtain a relative measure of dispersion for each farm and comment on the results. (3 marks) [Total: 25 marks]