ASSIGNMENT 1 2022 ACADEMIC YEAR Question 1 (80] Selling prices (NS 1 000s) for a sample of 25 two-bedroom house in a certain town are given in the table below: Selling price (N$) Selling price (NS 572 16 2 945 17 4HM 831 566 631 19 987 553 830 6 871 21 617 9HO 9 570 516 10 950 11 916 12 AH.H 13 405 14 901 15 $54 Required: 1.1 Calculate and interpret the following descriptive statistics measures; (20) a) Mean b) Mode c) Median d) Third quartile e) 60" percentile () Standard deviation 1.2 Construct a frequency distribution for the random variable Selling price. Use 5 classes. (10)1.3. Construct a graphical representation for the cumulative percent frequency distribution for the random variable Selling price. Approximate the percentage of houses with a selling price above NS 700 000. (15) 1.4 Use the frequency distribution constructed in 1.2 and calculate the following descriptive statistics measures: (25) a) Mean b) Mode c) Median d) Third quartile e) 60" percentile f) Standard deviation 1.5 Compare your answers in 1.1 and 1.4. Explain why there is a difference. (10) Question 2 [20] Selling prices (NS 1 (00s) and Valuations (N$ 1 000s) of a random sample of ten two-bedroom apartments sold during the last quarter of 2021 are shown in the table below: Selling price (N$ 1000) Valuation (N$ 1000) I 572 483 2 945 983 3 831 766 4 631 587 553 430 6 871 617 7 980 760 482 570 516 950 969 Required: a) Construct a scatter diagram for the data. b) Calculate and interpret the correlation coefficient