Answer Happy

Question 2 (18 marks) The prices of a sample of 100 flats in City A are as follows: Mid-point of Number of Cumulative Cumulative Price ($ millions) Price range flats Frequency Frequency (%) 6 to less than 8 7 8 to less than 10 20 10 to less than 12 33 12 to less than 14 25 14 to less than 16 15 (a) Copy the above table in your answer book and fill in the blanks. (3 marks) (b) Calculate the mean and sample standard deviation of flat prices in City A. (2 marks) (c) Construct the cumulative frequency (%) graph for the above data on a graph paper. (5 marks) (d) From the graph, estimate (i) The median of the flat prices, (2 marks) (ii) The inter-quartile range of the flat prices, (2 marks) (iii) The percentage of flats which are worth more than 13 ($ millions). (2 marks) (e) A similar survey is conducted for City B. The mean is estimated to be 12.55 ($ millions) with a standard deviation of 2.12 ($ millions). Describe the main differences of flat prices between the two cities. (2 marks)