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Question 1 (a) The examination results of 3 students from 25 registered students for subject SCSI2143 are given in Table 1. Table 1: Examination Results Student Course Score Grade Adam SCSJ 90 At Aaron SCSR 85 A Ammar SCSJ 80 A- From Table 1, identify the (i) Population. (ii) Sample. (iii) Quantitative variable(s). Qualitative variable(s). (b) Determine the statistical measure(s) (Mean/Median/Mode) for the following statements. (i) A recent survey of a sample of 750 UTM students reported that the average weekly time study is 15 hours. (ii) The 1555 QIU students who graduated in 2016 have an average CGPA score of 3.55 with majority of student obtain CGPA 3.52 (c) Determine level of measurement for each of the following? (i) The length (in minute) of a song. (ii) Temperature of three cities in Malaysia this morning. (iii) Ist, 2nd, and 3rd place finishers of sprinter. (iv) Account numbers of clients of the MayBank.Question 4 The pie chart in Figure 2, summarizes the results of a survey of 300 randomly selected students at a particular high school. The investigators asked about soft drink preferences at a local high school. Soft Drink Preference Coke 20% Pepsi 30% Du Sprite Dr. Pepper 15% : Other 10% 25% Figure 2: Pie Chart of Soft Drink Preference (a) How many out of the 300 students indicated a preference for Dr. Pepper (b) Write a few sentences summarizing the soft drink preference for this sample of students. (c) Using the information in the pie chart above, sketch a relative frequency bar chart for these data.Question 2 Table 2 shows the sample data of rod glass diameter produced by a production line. Table 2 : Rod Glass Diameter 3.41 2.67 2.95 3.61 4.01 3.68 1.45 2.51 3.53 5.08 1.68 4.17 1.54 2.29 1.60 2.69 2.51 2.03 2.5 (a) Calculate these numerical summaries: (1) Q1, Q2, Q3 (ii) 90 percentile. (iii) Inter Quartile Range (IQR) (iv) Range (b) Construct a box plot (c) Another reading is added in the sample, the data is 1.05. Determine either the data is mild or extreme outlier. Justify your answer. ( Mild outlier = Q1 - 1.5 (IQR); Extreme outlier = Q1 - 3(IQR)} Lower inner fence: Q1 - 1.5*IOR Upper inner fence: 03 + 1.5*IQR Lower outer fence: 01 - 3*IOR Upper outer fence: 03 + 3*IOR Outlier detection criteria: A point beyond an inner fence on either side is considered a mild outlier. A point beyond an outer fence is considered an extreme outlier. (d) Construct steam and leaf by using leaf equal to one [Hint; 3.41= 3.4; 2.67=2.7 314 : 217 Key: 3/4 means 3.4 where stem width 0.1 and each leaf: 1 case (s)]Question 3 Data on the scores for 31 students taking a mathematic test were collected and presented as histogram in Figure I below. Math Test Results Frequency N 50-55 56-60 61-65 66-70 71-75 76-80 81-85 86-90 91-95 99-100 Test Scores Figure 1: Histogram of Student's Mathematic Test Results (a) State the mode class of the student's test scores. (b) Find the mean of the student's test scores. (c) Find the median of the student's test scores. (d) Determine the skewness of the graph obtained from the histogram