Tutorial Questions Question 1 Indicate your choice with an X at the end of chosen option. 1.1 A _____________ is a subset containing the characteristics of a larger population. a. b. c. d. e. Population Sigma Notation Accuracy Sample Data 1.2 The weight of 60 people measured is an example of ? a. b. c. d. e. Qualitative Quantitative, discrete Quantitative Quantitative, continuous None 1.3 Which one of the following variables is not categorical? a. b. c. d. e. Age of a person. Gender of a person: male or female Choice on a test item: true or false. Marital status of a person (single, married, divorced, other) None 1.4 Which of the following is the method(s) of data collection a. b. c. d. e. Interview Survey Questionnaire Audio recorder All of the above 1.5 The most commonly used type of graph for presenting qualitative data is? a. b. c. d. Straight line chart Bubble chart Hyperbola chart Parallelogram chart e. Bar chart Question 2 Suppose you wish to choose 3 winners for a lucky draw in which no person can win more than one prize. Tickets labelled 1 to 163 were sold. You use the portion of the random number table below, reading from left to right and bottom to top, to choose the 3 winning tickets. 23562 87300 94349 65301 31196 15141 92043 88320 14105 12600 The winning tickets are labelled a) b) c) d) e) 51, 141, 151 151, 204, 419 13, 94, 119 235, 628, 730 None of the above Question A sample of 6 dairy cows is to be checked by a veterinarian. The 36 cows at the dairy are numbered from 1 to 400. Every 8th cow is selected to be part of the sample. If the first cow to be included in the sample is numbered 13, what is the number of the 4 th cow to be included in the sample? Question In a study investigating the expenditure pattern of consumers, they were divided into low, medium and high income groups. Income group Percentage of population low 400 medium 450 high 150 A stratified sample of 100 consumers is to be selected for this study. Calculate the samples that will be chosen from each group to make up the sample size of 100. Question A survey was conducted to find out how often do student visit their books per month. A frequency distribution/table below summarises the findings of the study. Classes Frequency Cumulative Class midpoint Frequency (X) [6 ; 11) 1 [11; 16) 4 [16 ; 21) 11 [21 ; 26) 8 [26 ; 31) 4 [31 ; 36) 2 Total 30 Calculate the following, 1. cumulative frequency for the 4th class. 2. The cumulative frequency for the 3rd class. 3. The probability that a random chosen student visit his/her book more than (at least) 21 times a month. 4. The middle value for the last class. 5. The relative frequency for class no.3 Consinder the data following of low temperatures (in degrees Fahrenheit to the nearest degree) for 50 days. The highest temperature is 64 and the lowest temperature is 39. 57 39 52 52 43 50 53 42 58 55 58 50 53 50 49 45 49 51 44 54 49 57 55 64 45 50 45 51 54 58 53 49 52 51 41 52 40 44 49 45 43 47 47 43 51 55 55 46 54 41 Construct frequency distribution. Show all your workings. Question From previous studies it is known that the average number of cancer related death in South Africa is 92 per year. A sample of 300 South African people with cancer was taken to study deaths related to cancer in a year. It was that 39 people died because of cancer that year. From the statement above, Identify the numerical values for the population, sample, statistic, parameter.
