Math 4103 Elmer S. Poliquit Problem Set 1 Major data SALARY MAJOR UGPA 64057 FINANCE 3.6 55111 FINANCE 2.6 58018 IB 2.7 54426 IB 2.2 INANCE 3.2 57582 IB 3.0 55206 IB 2.3 5332 IB 2.4 47870 IB 2.2 10 48000 IB 2.3 11 51754 IB 2.2 12 65766 FINANCE 3.0 13 57955 FINANCE 3.2 14 60817 FINANCE 3.6 15 57912 IB 2.9 61518 FINANCE 3.4 17 59704 IB 3.0 18 59918 FINANCE 3.2 59179 FINANCE 3.6 20 45800 IB 2.4 21 53760 IB 22 46142 IB 2.4 23 49650 IB 2.4 24 57794 IB 3.0 25 63718 FINANCE 2.9 26 67909 FINANCE 3.4 27 65247 FINANCE 4.0 28 64653 FINANCE 4.0 29 65029 FINANCE 3.7 30 59208 TB 2.8 31 52188 B 2.3 32 59345 FINANCE 3.6 33 62223 FINANCE 2.4 34 51588 IB 2.3 35 57087 FINANCE 3.2 36 58814 FINANCE 3.1 37 66488 FINANCE 3.3 38 56402 IB 2.6 39 58044 FINANCE 2.440 62889 FINANCE 2.7 41 64181 FINANCE 2.8 42 TB 43 5480 IB 2.9 44 61401 FINANCE 3.0 5 53636 IB 2.6 46 IB 2.3 47 60924 FINANCE 3.6 48 56846 IB 2.4 49 55780 IB 2.9 50 64609 FINANCE 4.0 a. Use the Major data. Get a random sample of 30 only using R. (10 marks) b. For the given numerical variables, compute the following descriptive measures: mean, median, mode, variance, standard deviation, range, first quartile, third quartile, and IQR. (10 marks) c. For the given numerical variables, construct the following graphs for the data: histogram, frequency polygon, stem-and-leaf plot, and boxplot. Describe the shape of the distribution. (50 marks) d. For the given categorical variable, construct a frequency table and its bar graph. (10 marks) e. Find the measures of central tendency of salary and measures of variation per major. (10 marks)