Question 1 In the city of Rockhampton, an adult has a one percent change of bein

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Question 1 In the city of Rockhampton, an adult has a one percent change of being selected for jury duty next year. If jury members are selected at random, and the Smith family includes three adults, determine the probability that none of the Smiths will be chosen. What domain of statistics does this belong to? (a) Descriptive statistics (b) Probability (c) Statistical inference (d) The situation described in not statistics Question

2 In five mathematics tests a student received grades of 39, 51, 72, 80 and 92. Which of the following conclusions cannot be obtained from these figures by purely descriptive methods? (a) Only two of the grades exceeded 75 (b) The student’s grades increased from each test to the next (c) The student must have studied harder for each successive test (d) The difference between the highest and lowest grades is 53.

Question 3 Classifying individuals according to ethnic background is an example of which scale of measurement? (a) Nominal (b) Ordinal (c) Interval (d) Ratio.

Question 4 In Australia an industry expert said that Industry A has lost 14.2 days per employee each year due to workplace injuries and Industry B has lost 5.7 days per employee each year due to workplace injuries. What data type is “lost days per employee” for the information on workplace injuries in Industry A and Industry B? (a) Nominal (b) Ordinal (c) Interval (d) Ratio

Question 5 The following table shows how students in Rockhampton, travel to University.

Means of Transportation Percentage

Bike 20

Car 45

Bus 25

Walk 10

Which of the following procedures is best suited to the graphical presentation of the information? (a) Histogram (b) Bar chart (c) Pie chart (d) Group bar

Questions 6 to 8 refer to the following information: The following table shows the marks which 40 students obtained in a law test. 75 89 66 52 90 68 83 94 77 60 48 47 87 65 97 49 65 70 73 81 85 77 83 56 63 79 69 82 84 70 62 75 79 41 70 45 81 97 71 63 Construct a frequency distribution using “40 to less than 50 marks ” as the first class. Use equal class intervals or widths.

Question 6 What is the cumulative frequency for the “ 70 to less than 80 marks” class? (a) 36 (b) 11 (c) 27 (d) 9

Question 7 What is the relative frequency for “70 to less than 80 marks” class? (a) 0.275 (b) 0.225 (c) 27 (d) 0.675

Question 8 What percentage of students had a mark of 60 or more? (a) 82.5% (b) 33% (c) 60% (d) 40%

Question 9 The accompanying frequency distribution was prepared by using data on the starting salary (in dollars per year) from a sample of 58 business graduates.

Earning frquency

15000 to less 20000 8

20000 to less 25000 10

25000 to less 30000 29

30000 to less 35000 9

35000 to less 40000 2

Construct the ogive and use it to show that the 81st percentile of the distribution of the earning is approximately: (a) $20000 (b) $40000 (c) $30000 (d) $35000

Question 10 Twenty students sat a law test. The results from the test (ranging from 32 to 97) have been arranged into the stem-and-leaf display shown below.

stem and leaf 2,6,7,9,1,5,0,6,7,9,1,4,5,5,6,3,5,9,3,7

3

4

5

6

7

8

9

What proportion of scores are greater than 50? (a) 35% (b) 30% (c) 70% (d) 65%

Explanation / Answer

Q1

Answer: Option (b) Probability

Because, we are talking about probability of a person being selected and asking for probability that none of three will be selected. ANSWER

Q2

Answer: Option (c)

Because,

Out of 39, 51, 72, 80 and 92.only 80 and 92 exceeded 75 and so (a) can be concluded.

Clearly, 39, 51, 72, 80 and 92 is an increasing sequence and hence (b) is a possible conclusion.

(c) may not be a possible conclusion because the reason for the student getting higher grade may not be only due to ‘the student must have studied harder for each successive test'. – each successive test could as well have easier than the preceding one

(d) is obviously correct since 92 – 39 = 52.

Q3 Answer/; Option (b) Ordinal

When a group of people are classified, each of them would fall into one of the pre-designed category and so, classifying individuals according to ethnic background is an example of Ordinal ANSWER

Q4 Answer/; Option (d) Ratio

14.2 days per employee is the ratio of total number of days to total number of employees. ANSWER

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