CONFIDENTIAL QUESTION 3 Describe any similarities or differences in the two distributions represented by the following boxplots. Assume the two boxplots have the same scale. QUESTION 4 Result of a study on 31 lecturers in UniKL regarding their intake of vitamins, in grams, are shown in the following histogram. 10 Number of lecturer 110 130 Weekly vitamin intake (a) Based on the data above, complete a grouped data table below Weekly vitamin Frequency. f Midpoint, x fx intake (grams) 80 -90 90 -100 100 - 110 110 - 120 120 - 130 130 - 140 140 - 150 Total (b) Find the sample variance and sample standard deviation. Give your answer in 3 decimal places.CONFIDENTIAL INDIVIDUAL ASSIGNMENT (TOTAL: 40 MARKS) QUESTION 1 A researcher is conducting a simple survey to study the demographic characteristics of students at a public university. There are about 10 090 students at the university and a sample of 2 000 will be chosen as respondents. (a) Describe the sampling frame for the survey. (b) Define the type of variable (qualitative or quantitative) for each of the following demographic characteristics: (1). Race. Academic program. Cumulative grade point average. (iv). Number of academic awards received. () State one possible probability sampling technique to choose the 2 000 students if the researcher manages to obtain all the students' names from the university. Give one advantage of this technique. [d) Explain how to select the sample using the sampling technique stated in (c). QUESTION 2 A company decides to give their 23 employees a skills test in order to decide if any of these employees need to be retrained. The maximum possible score in this test is 50 and the results are summarised in an ordered stem and leaf diagram. 0 5 1 9. 9 1,6,8 3 3.4.5.7 4 2. 3. 4. 4. 8.9.9 5 0.0.0, 0,0.0 Key: 219 = 29 (a) Find the median score of the test. (b) Determine the interquartile range of the scores. (c) Draw a suitably labelled box plot for this data