2. A continuous random variable X has the probability density function: ac / 2 for 0

3. Thirty people were asked about the number of hours they exercise in a week and their answers were recorded and listed below. 2.0 6.0 7.5 8.5 10.5 13.0 4.0 6.5 7.5 8.5 10.5 14.0 4.5 6.5 8.0 9.0 11.0 17.0 5.0 7.0 8.0 9.0 11.5 18.0 5.5 7.0 8.5 10.0 12.0 21.0 (a) Carefully construct, draw and label a histogram of these data. (The histogram can be drawn on ordinary paper - no graph paper needed. You should draw by hand; do not use a computer.) (6 marks) (b) Find the mean (given that the sum of the data is 277) and the median. (2 marks) (c) Comment on the data based on the shape of the histogram and the measures you have calculated. (2 marks) (d) Briefly discuss whether a histogram is the most suitable type of diagram to visualise this dataset. (2 marks)