Sources of Data · CAPE Applied Mathematics Unit 1
135 past-paper questions on Sources of Data, part of Module 1: Collecting and Describing Data, from every CAPE Applied Mathematics Unit 1 paper on Quelpr.
- 2(a)(i)4 marks· CAPE Applied Mathematics Unit 1 · 2008 · Paper 2Name each of the sampling methods A, B, C, and D described in the question.
- 2(a)(ii)3 marks· CAPE Applied Mathematics Unit 1 · 2008 · Paper 2Given that 112 of the 240 cars are white, calculate how many white cars are in the sample selected according to method A.
- 2(a)(iii)2 marks· CAPE Applied Mathematics Unit 1 · 2008 · Paper 2State two different variables, other than colour, by which the cars could be grouped in sampling method A.
- 2(a)(iv)2 marks· CAPE Applied Mathematics Unit 1 · 2008 · Paper 2Calculate the value of k in sampling method B.
- 2(a)(v)2 marks· CAPE Applied Mathematics Unit 1 · 2008 · Paper 2Explain one disadvantage of sampling method C.
- 2(b)(i)2 marks· CAPE Applied Mathematics Unit 1 · 2008 · Paper 2Distinguish between a population and a sample.
- 2(b)(ii)2 marks· CAPE Applied Mathematics Unit 1 · 2008 · Paper 2Distinguish between a census and a sample survey.
- 2(b)(iii)3 marks· CAPE Applied Mathematics Unit 1 · 2008 · Paper 2Distinguish between a parameter and a statistic.
- 2(c)3 marks· CAPE Applied Mathematics Unit 1 · 2008 · Paper 2Justifying the use of the sample survey in the given example, briefly describe one example where a sample survey is carried out, as opposed to a census.
- 2(d)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2008 · Paper 2State the value of a parameter from the data given.
- 2(d)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2008 · Paper 2State the value of a statistic from the data given.
- 1(a)(i)3 marks· CAPE Applied Mathematics Unit 1 · 2008 (second paper) · Paper 2Give THREE reasons for inspecting a sample of the printed newspapers rather than the entire population.
- 1(a)(ii)4 marks· CAPE Applied Mathematics Unit 1 · 2008 (second paper) · Paper 2State TWO differences between a cluster sample and a stratified random sample in this context.
- 1(a)(iii)3 marks· CAPE Applied Mathematics Unit 1 · 2008 (second paper) · Paper 2Calculate to the nearest integer the number of papers to select from Monday's production using stratified random sampling, given a total sample size of 5000.
- 1(a)(i)2 marks· CAPE Applied Mathematics Unit 1 · 2009 · Paper 2State TWO variables that are qualitative.
- 1(a)(ii)2 marks· CAPE Applied Mathematics Unit 1 · 2009 · Paper 2State TWO variables that are quantitative.
- 1(a)(iii)1 mark· CAPE Applied Mathematics Unit 1 · 2009 · Paper 2State ONE variable that is discrete.
- 1(a)(iv)1 mark· CAPE Applied Mathematics Unit 1 · 2009 · Paper 2State ONE variable that is continuous.
- 1(b)(i)4 marks· CAPE Applied Mathematics Unit 1 · 2009 · Paper 2Explain how a sample of 10 accounts can be selected using the method of random numbers.
- 1(b)(ii)3 marks· CAPE Applied Mathematics Unit 1 · 2009 · Paper 2Select a random sample of size 10 without replacement from numbers 01 to 65 inclusive using Table 4: Random Sampling Numbers, starting at the third row from the top and fourth column with 44 and working across the row…
- 1(c)(i)(a)1 mark· CAPE Applied Mathematics Unit 1 · 2009 · Paper 2Define the term 'population'.
- 1(c)(i)(b)2 marks· CAPE Applied Mathematics Unit 1 · 2009 · Paper 2Define the term 'sample'.
- 1(c)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2009 · Paper 2State the population of interest in this survey.
- 1(c)(iii)1 mark· CAPE Applied Mathematics Unit 1 · 2009 · Paper 2What sampling technique was used by the researcher?
- 1(c)(iv)4 marks· CAPE Applied Mathematics Unit 1 · 2009 · Paper 2Of the 500 students in the school, 90 were fourth year students. Determine the number of fourth year students that will be in the sample of 50.
- 2(c)(i)2 marks· CAPE Applied Mathematics Unit 1 · 2009 · Paper 2Explain why a stratified random sample might be a better technique for choosing the 25 persons than using a simple random sample.
- 2(c)(ii)4 marks· CAPE Applied Mathematics Unit 1 · 2009 · Paper 2Use the method of stratified random sampling to select 25 employees to send to the new supermarket.
- 1(a)(i)2 marks· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2State the letters of TWO variables which are qualitative.
- 1(a)(ii)2 marks· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2State the letters of TWO variables which are quantitative.
- 1(a)(iii)1 mark· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2State the letter of ONE discrete variable.
- 1(a)(iv)1 mark· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2State the letter of ONE continuous variable.
- 1(b)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2State the value of a parameter.
- 1(b)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2State the value of a statistic.
- 1(c)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2Indicate whether a group of 50 persons selected to test a new milk drink refers to a population or a sample.
- 1(c)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2Indicate whether the total number of cars sold by a car dealership in the last year refers to a population or a sample.
- 1(d)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2Select a sample of 10 classes out of 14, and then take a sample of 5 students from each class.
- 1(d)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2Take a random sample of students from each class proportionate to the number of students in the school.
- 1(d)(iii)1 mark· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2Use the school roll and choose every 25th name on the school roll.
- 1(d)(iv)1 mark· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2Stand at the school gate and choose the first 50 students that come into the school.
- 1(d)(v)1 mark· CAPE Applied Mathematics Unit 1 · 2010 · Paper 2Put the names of all students in a box and randomly select 50 names from the box.
- 1(a)(i)3 marks· CAPE Applied Mathematics Unit 1 · 2011 · Paper 2Indicate, using the letters A, B, C, D and E, which variables are Quantitative.
- 1(a)(ii)2 marks· CAPE Applied Mathematics Unit 1 · 2011 · Paper 2Indicate, using the letters A, B, C, D and E, which variables are Qualitative.
- 1(a)(iii)2 marks· CAPE Applied Mathematics Unit 1 · 2011 · Paper 2Indicate, using the letters A, B, C, D and E, which variables are Discrete.
- 1(a)(iv)1 mark· CAPE Applied Mathematics Unit 1 · 2011 · Paper 2Indicate, using the letters A, B, C, D and E, which variables are Continuous.
- 1(b)(i)5 marks· CAPE Applied Mathematics Unit 1 · 2011 · Paper 2Name EACH of the sampling methods G, H, I, J and K based on the given descriptions.
- 1(b)(ii)2 marks· CAPE Applied Mathematics Unit 1 · 2011 · Paper 2Calculate the value of n in sampling method H.
- 1(b)(iii)2 marks· CAPE Applied Mathematics Unit 1 · 2011 · Paper 2Given that 120 of the 300 cans of paint are blue, determine the number of blue cans of paint in the sample selected using method J.
- 1(b)(iv)4 marks· CAPE Applied Mathematics Unit 1 · 2011 · Paper 2Give TWO differences between sampling methods G and J.
- 1(c)2 marks· CAPE Applied Mathematics Unit 1 · 2011 · Paper 2Distinguish between a 'parameter' and a 'statistic'.
- 1(a)(i)A2 marks· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2Identify the sampling technique used where 3 supermarkets are randomly selected and 20 workers sampled from each, and state whether it is random or non-random.
- 1(a)(i)B2 marks· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2Identify the sampling technique where workers are selected from each supermarket in proportion to the number employed there, and state whether it is random or non-random.
- 1(a)(i)C2 marks· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2Identify the sampling technique where one person is selected alphabetically from payroll and then every 6th person after that until 60 are chosen, and state whether it is random or non-random.
- 1(a)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2State ONE disadvantage of using Method A.
- 1(a)(iii)1 mark· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2State ONE disadvantage of using Method C.
- 1(a)(iv)3 marks· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2Of the 350 workers, 90 are employed at a particular location. Calculate the number of these persons that will be in the sample if Method B is used.
- 1(b)(i)2 marks· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2Define the term 'sampling frame'.
- 1(b)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2Explain why the telephone directory may not be a representative sampling frame for a survey about household detergent usage.
- 1(b)(iii)1 mark· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2Explain why having radio listeners call in to state which station they were listening to produces a biased sample of a programme's popularity.
- 2(a)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2The 300 members of the sports club constitute a ________________________.
- 2(a)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2The conducting of a poll on all the club members is known as a _____________________.
- 2(a)(iii)1 mark· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2The 25 members from which data were collected are known as a _____________________.
- 2(a)(iv)1 mark· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2The average age, 24, of the 25 members is known as a _____________________.
- 2(a)(v)1 mark· CAPE Applied Mathematics Unit 1 · 2012 · Paper 2The average age, 31, of the entire club is known as a ________________________.
- 1(a)(i)1.5 marks· CAPE Applied Mathematics Unit 1 · 2013 · Paper 2Indicate whether the brands of coffee served at a restaurant is quantitative or qualitative, and if quantitative, whether it is discrete or continuous.
- 1(a)(ii)1.5 marks· CAPE Applied Mathematics Unit 1 · 2013 · Paper 2Indicate whether the number of television sets owned by households in a district is quantitative or qualitative, and if quantitative, whether it is discrete or continuous.
- 1(a)(iii)1.5 marks· CAPE Applied Mathematics Unit 1 · 2013 · Paper 2Indicate whether the volume of water used weekly by a laundry is quantitative or qualitative, and if quantitative, whether it is discrete or continuous.
- 1(a)(iv)1.5 marks· CAPE Applied Mathematics Unit 1 · 2013 · Paper 2Indicate whether the types of fish sold in the market is quantitative or qualitative, and if quantitative, whether it is discrete or continuous.
- 1(b)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2013 · Paper 2State whether the 5 buses owned by "Village Tours" is a population or a sample.
- 1(b)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2013 · Paper 2State whether 5 of the buses that were sent on the island tour last week is a population or a sample.
- 1(c)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2013 · Paper 2State whether asking the 500 persons who attended the jazz show on Thursday night to name their favourite performer is a census or a sample survey.
- 1(c)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2013 · Paper 2State whether asking 500 of the persons who attended the jazz concert last week to name their favourite performer is a census or a sample survey.
- 1(d)2 marks· CAPE Applied Mathematics Unit 1 · 2013 · Paper 2State TWO reasons why it may be necessary to conduct a sample survey rather than use a census.
- 1(e)(i)2 marks· CAPE Applied Mathematics Unit 1 · 2013 · Paper 2Explain why a stratified random sample will NOT be an appropriate method to use.
- 1(e)(ii)6 marks· CAPE Applied Mathematics Unit 1 · 2013 · Paper 2Explain how a random number table could be used to select the sample of 15 students from the programme.
- 1(e)(iii)5 marks· CAPE Applied Mathematics Unit 1 · 2013 · Paper 2Use Table 4 (Random Sampling Numbers) provided in the Statistical Tables to obtain a random sample of size 15, without replacement, from numbers 00 to 90 inclusive, starting at the third row from the top with 72 and…
- Q11 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2014 · Paper 1Items 1–2 refer to the following types of data. I. Qualitative II. Quantitative III. Discrete IV. Continuous The number of births at the hospital during the month of January is an example of
- Q21 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2014 · Paper 1Items 1–2 refer to the following types of data. I. Qualitative II. Quantitative III. Discrete IV. Continuous The marital status of persons is
- Q101 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2014 · Paper 1A sampling frame is
- 1(a)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2014 · Paper 2State what the value 15 in the 'number of employees' row represents.
- 1(a)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2014 · Paper 2State what the value 3 in the 'average weekly sales' row represents.
- 1(b)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2014 · Paper 2State the sampling method used when all employee names are put into a box and 20 are selected.
- 1(b)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2014 · Paper 2State the sampling method used when names are listed alphabetically and, starting from the third name, every fifth name is drawn until 20 names are selected.
- 1(b)(iii)1 mark· CAPE Applied Mathematics Unit 1 · 2014 · Paper 2State the sampling method used when a number of employees are randomly selected from each department proportional to its size to obtain 20 employees.
- 1(c)1 mark· CAPE Applied Mathematics Unit 1 · 2014 · Paper 2Identify which sampling method from 1(b)(i), (ii), and (iii) provides a sample that is most representative of the employees across all departments.
- 1(d)3 marks· CAPE Applied Mathematics Unit 1 · 2014 · Paper 2Using the proportional allocation method from 1(b)(iii), calculate the number of employees in the sample of 20 drawn from the Jewellery and Perfume department.
- Q11 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2015 · Paper 1A population, in statistical terms, may be defined as
- Q41 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2015 · Paper 1Which of the following variables is discrete?
- Q51 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2015 · Paper 1Under which condition, for a population divided into strata, is it preferable to use stratified random sampling rather than simple random sampling?
- Q131 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2015 · Paper 1A systematic random sample that makes up 20% of the population is to be selected from among 320 students who are numbered from 001 through 320. If the first student chosen is numbered 002, then the last student chosen…
- 1(a)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2015 · Paper 2State whether the types of pastry sold at a restaurant is quantitative or qualitative.
- 1(a)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2015 · Paper 2State whether the weight of a red snapper sold at a fish market is quantitative or qualitative.
- 1(a)(iii)1 mark· CAPE Applied Mathematics Unit 1 · 2015 · Paper 2State whether the number of seats available at a concert hall is discrete or continuous.
- 1(a)(iv)1 mark· CAPE Applied Mathematics Unit 1 · 2015 · Paper 2State whether the height of pea trees at six weeks old is discrete or continuous.
- 1(a)(v)1 mark· CAPE Applied Mathematics Unit 1 · 2015 · Paper 2State whether the number of kilowatt-hours of electricity used by a household in the last month is discrete or continuous.
- 1(b)(i)2 marks· CAPE Applied Mathematics Unit 1 · 2015 · Paper 2Distinguish between a 'census' and a 'sample survey'.
- 1(b)(ii)2 marks· CAPE Applied Mathematics Unit 1 · 2015 · Paper 2State TWO reasons why taking a sample may be necessary.
- 1(b)(iii)a)2 marks· CAPE Applied Mathematics Unit 1 · 2015 · Paper 2State, with a reason, whether the following situation is a sample survey or a census: Every week a store calls 15 of the 40 persons who made purchases at the store during the week to find out whether they were satisfied…
- 1(b)(iii)b)2 marks· CAPE Applied Mathematics Unit 1 · 2015 · Paper 2State, with a reason, whether the following situation is a sample survey or a census: The management of High Street Appliance Store called all of the 5 persons who bought stoves last week to find out if they were…
- 1(d)(i)3 marks· CAPE Applied Mathematics Unit 1 · 2015 · Paper 2Using the stratified random sampling method, calculate the number of masons in a sample of 25 employees.
- 1(d)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2015 · Paper 2State ONE advantage of using the stratified random method for collecting this sample.
- Q11 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2016 · Paper 1A sampling frame is defined as
- 1(a)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2016 · Paper 2State the population of interest.
- 1(a)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2016 · Paper 2State the sampling method used to collect the data.
- 1(a)(iii)1 mark· CAPE Applied Mathematics Unit 1 · 2016 · Paper 2State the variable which is qualitative.
- 1(a)(iv)1 mark· CAPE Applied Mathematics Unit 1 · 2016 · Paper 2State the variable which is continuous.
- 1(a)(v)1 mark· CAPE Applied Mathematics Unit 1 · 2016 · Paper 2State the variable which is discrete.
- Q11 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2017 · Paper 1Which of the following variables is discrete?
- Q51 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2017 · Paper 1For a population divided into strata, under which condition is it preferable to use stratified random sampling rather than simple random sampling?
- Q81 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2017 · Paper 1The secretary of a club wants to obtain the opinions of the members about the club's facilities. The club has 339 members of whom 113 are males. The secretary decides to conduct a survey using a random sample of 42…
- 1(a)5 marks· CAPE Applied Mathematics Unit 1 · 2017 · Paper 2Match the phrases or statements in Column A to the phrases in Column B by writing the number from Column A in Column C.
- 1(b)3 marks· CAPE Applied Mathematics Unit 1 · 2017 · Paper 2State THREE reasons why it may be necessary to take a sample when carrying out research.
- 1(c)2 marks· CAPE Applied Mathematics Unit 1 · 2017 · Paper 2Determine whether EACH of the following refers to a sample or to a population: • A group of 25 persons selected to test a new drug • The total number of books sold at the book sale
- 1(d)3 marks· CAPE Applied Mathematics Unit 1 · 2017 · Paper 2State which of the following represents discrete data and which represents continuous data: • Number of persons in a household • Speed of a car in kilometres per hour • Student enrolment in a college in the last year
- 1(e)(i)5 marks· CAPE Applied Mathematics Unit 1 · 2017 · Paper 2Using a stratified random sample, calculate the number of workers from EACH group that will be in the sample.
- 1(e)(ii)2 marks· CAPE Applied Mathematics Unit 1 · 2017 · Paper 2What is the advantage of using stratified random sampling to select persons rather than simple random sampling?
- 1(f)5 marks· CAPE Applied Mathematics Unit 1 · 2017 · Paper 2State the sampling method to be used in EACH of the approaches to select a sample of 50 students from a school with a roll of 420 students distributed over 14 classes: • Select a sample of 10 classes out of the 14…
- Q11 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2018 · Paper 1A sampling frame is defined as
- Q41 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2018 · Paper 1Items 4–5 refer to the following options. I. Qualitative data II. Quantitative data III. Discrete data IV. Continuous data The number of persons who attended the jazz concert last week is an example of
- Q51 mark · multiple choice· CAPE Applied Mathematics Unit 1 · 2018 · Paper 1Items 4–5 refer to the following options. I. Qualitative data II. Quantitative data III. Discrete data IV. Continuous data The design of the house in a development is an example of
- 1(a)2 marks· CAPE Applied Mathematics Unit 1 · 2021 · Paper 2State ONE similarity and ONE difference between a stratified random sample and a quota sample.
- 1(b)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2021 · Paper 2Identify the sampling method T: selecting equal numbers of male and female contestants, even though there are twice as many female applicants as male applicants.
- 1(b)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2021 · Paper 2Identify the sampling method U: grouping applicants by age and selecting contestants at random from within each group in proportion to the number of applicants in that group.
- 1(b)(iii)1 mark· CAPE Applied Mathematics Unit 1 · 2021 · Paper 2Identify the sampling method V: assigning a unique number from 001 to 500 to each applicant and using random numbers to select the contestants.
- 1(b)(iv)1 mark· CAPE Applied Mathematics Unit 1 · 2021 · Paper 2Identify the sampling method W: selecting a contestant randomly from among the first k applicants on a numbered list, then selecting every kth applicant on the list.
- 1(b)(v)1 mark· CAPE Applied Mathematics Unit 1 · 2021 · Paper 2Identify by letter the sampling method among T, U, V, and W that would result in a sample that is MOST representative of the 500 applicants.
- 1(b)(vi)2 marks· CAPE Applied Mathematics Unit 1 · 2021 · Paper 2If sampling method U is used, 4 of the 20 contestants selected from the 500 applicants are over 50 years old. Determine the total number of applicants who are older than 50 years of age.
- 1(b)(vii)3 marks· CAPE Applied Mathematics Unit 1 · 2021 · Paper 2Using a random sampling numbers table, starting at row 1, column 3 with 36 and moving from left to right along the row, list the first FIVE numbers selected to choose 5 of the 20 contestants under method V.
- 1(b)(viii)2 marks· CAPE Applied Mathematics Unit 1 · 2021 · Paper 2Calculate the value of k in sampling method W when selecting 20 contestants from 500 applicants.
- 1(a)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2022 · Paper 2The height of students in a class
- 1(a)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2022 · Paper 2The number of laptop computers owned by households in a community
- 1(b)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2022 · Paper 2The buses owned by Excel Express transport company
- 1(b)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2022 · Paper 2The students sent to represent a school at track meet
- 1(c)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2022 · Paper 2The 700 persons who attended a reggae concert on the weekend were asked to name their favourite artiste.
- 1(c)(ii)1 mark· CAPE Applied Mathematics Unit 1 · 2022 · Paper 2700 of the persons who attended a mass gathering in the city were asked to name their preferred political party.
- 5(a)(i)1 mark· CAPE Applied Mathematics Unit 1 · 2022 · Paper 2State ONE reason why the population proportion, p, cannot be stated as 35%, although the sample size is large.