FACULTY OF COMMERCE, MANAGEMENT AND LAW Question 1 ABA 3691 [50] The monthly profits (rounded to the nearest N$ 0000s) for the 2021/2022 financial year for two Small Medium Enterprises (SMEs) operating in the manufacturing industry are given in the table below: Month Monthly profit (N$ 0000s) SME 1 SME 2 April 2021 20 10 May 2021 22 25 June 2021 25 12 July 2021 28 16 August 2021 30 20 September 2021 25 12 October 2021 29 27 November 2021 33 35 December 2021 50 25 January 2022 18 22 February 2022 15 34 March 2022 25 38 Page 11 of 16 FACULTY OF COMMERCE, MANAGEMENT AND LAW Required: 1.1 Calculate and interpret the following descriptive statistics measures for each SME: a) Mean b) Mode c) Median d) Third quartile e) 90th percentile f) Range g) Standard deviation h) Coefficient of variation 1.2 Use the descriptive measures calculated in 1.1 and comment on the performance of the two SMEs during the 2021/22 financial year. 1.3 Calculate z-scores i.e. standardized values for all observations and identify the outliers in the data set. 1.4 Is the dataset in the table above time series or cross sectional? Motivate. 1.5 Construct a frequency distribution for the monthly profits for SME_1. Use three classes. 1.6 Construct a stem and leaf display for the monthly profits for SME_2. Question 2 Six observations taken for two variables are given in the table below: [20] X 6 10 11 16 15 y 50 40 60 48 60 65 Required: a) Develop a scatter plot with x on the horizontal axis. b) What does the scatter diagram developed in a) indicate about the relationship between the two variables? c) Compute and interpret the sample correlation coefficient. Page 12 of 16 FACULTY OF COMMERCE, MANAGEMENT AND LAW Question 3 [30] The monthly sales (rounded to the nearest N$ 0000s) for the 2021/2022 financial year for a sample of Small Medium Enterprises (SMEs) operating in the manufacturing industry are given in the table below: Monthly sales (N$ 0000s) [10-19] [20-29] [30 - 39] Number of SMEs 15 20 16 [40-49] Required: a. How many SMEs recorded monthly sales more than N$ 390 000? b. What proportion of SMEs recorded monthly sales below N$ 300 000? c. Calculate the following descriptive measures for monthly sales for the SMEs in the sample: i. Mean ii. Mode iii. Median iv. Standard deviation d. Discuss the difference between grouped and ungrouped data. -END OF ASSIGNMENT 1- Page 13 of 16