Collecting Data: Fluency and Exam Drill - Worksheets, Questions and Revision

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GCSE · Statistics

S07D Collecting Data: Fluency and Exam Drill

EDEXCEL 1ST0 · Calculator allowed · about 50 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

State whether the number of pets owned by a family is discrete or continuous data, and give a reason for your answer.

(Total for Question 1 is 2 marks)

State whether the height of a plant, measured in cm, is discrete or continuous data.

(Total for Question 2 is 1 mark)

State whether a person's favourite colour is qualitative (categorical) or quantitative data, and give a reason for your answer.

(Total for Question 3 is 2 marks)

Write down whether the following statement is True or False.
Primary data is data collected first-hand by the person carrying out the investigation.

(Total for Question 4 is 1 mark)

A student wants to find out the average time it takes people to travel to work in her town, and uses figures already published by the local council. Name this type of data, and give a reason for your answer.

(Total for Question 5 is 2 marks)

A survey question reads: 'Don't you agree that the new park is a great improvement?' Give one reason why this is a leading question.

(Total for Question 6 is 2 marks)

A tally chart records the number of goals scored by a football team in each of 20 matches: 4 matches with 0 goals, 7 matches with 1 goal, 6 matches with 2 goals, and 3 matches with 3 goals. Work out the total number of goals scored across all 20 matches.

(Total for Question 7 is 2 marks)

A researcher wants to test a new 20-question survey before using it on the full sample of 500 people. She gives the survey to 15 people first, to check the questions are clear. Name this stage of the survey process.

(Total for Question 8 is 1 mark)

A gardener records the number of flowers on each of 24 rose bushes. Design a suitable set of class intervals to group this discrete data if the smallest count is 3 flowers and the largest is 47 flowers, using classes of equal width 10 starting at 0. Write down all the class intervals needed.

(Total for Question 9 is 2 marks)

A student records, for each of 40 pupils, both their favourite subject (Maths, English or Science) and their year group (Year 9 or Year 10). State the most suitable type of table for recording this data.

(Total for Question 10 is 1 mark)

A data collection sheet for recording vehicle colours passing a school has the categories: Red, Blue, Black, White. Give one reason why this data collection sheet is not suitable.

(Total for Question 11 is 2 marks)

A student measures the wingspan, in mm, of 30 butterflies for a project. State whether this data is discrete or continuous.

(Total for Question 12 is 1 mark)

Write down whether the following statement is True or False.
A response bias occurs when the wording of a question influences the answer a respondent gives.

(Total for Question 13 is 1 mark)

A researcher wants to record how long, in minutes, 50 people spend at a gym, using data collection sheet class intervals of equal width. The shortest visit is 4 minutes and the longest is 118 minutes. Using classes of width 30 starting at 0, work out how many class intervals are needed to cover all the data.

(Total for Question 14 is 2 marks)

A student wants to investigate whether pupils who walk to school arrive earlier than pupils who travel by car, using data from 60 pupils at her school. She plans to collect the data using a questionnaire given to a sample of 60 pupils chosen from a list, numbered 1 to 900, using every 15th pupil on the list.
(a) State the name of the sampling method used.
(b) Give one reason why a questionnaire, rather than direct observation, might not give reliable data for this investigation.

(Total for Question 15 is 3 marks)

A school canteen wants to find out how many portions of each of 4 meal options were chosen by 180 pupils in one week, recorded using tally marks on a data collection sheet: Pasta 52, Curry 38, Salad 41, and the rest chose Pizza. Work out the number of pupils who chose Pizza.

(Total for Question 16 is 3 marks)

A researcher wants to test the hypothesis: 'People who commute by bicycle sleep for longer, on average, than people who commute by car.' She plans to give a questionnaire to 40 cyclists and 40 car drivers, asking each how many hours they sleep on a typical night.
(a) Write down one question, with a set of response options, that could be used to collect this data.
(b) Give one way the results could be used to test the hypothesis.

(Total for Question 17 is 3 marks)

A market researcher wants to survey a sample of 200 shoppers about their spending habits before running a full survey of 5000 shoppers. Before starting, she runs a smaller trial with 25 shoppers.
(a) Name this smaller trial.
(b) Give two reasons why it is useful to carry this out before the main survey.

(Total for Question 18 is 3 marks)

A newspaper wants to find out what proportion of adults in a city of 240000 people support a new recycling scheme. It publishes a link to an online survey on its website, and 620 readers respond.
(a) Give one reason this sampling method may produce a biased result.
(b) Suggest one improvement to the method that would help reduce this bias.

(Total for Question 19 is 3 marks)

A data collection sheet is used to record the number of text messages sent by 45 pupils in one day. The tally totals recorded were: 0-9 messages: 11 pupils, 10-19 messages: 18 pupils, 20-29 messages: 9 pupils, and the rest sent 30 or more messages. Work out the number of pupils who sent 30 or more messages, and state whether the class intervals used are suitable for continuous or discrete data.

(Total for Question 20 is 3 marks)

Mark scheme · S07D Collecting Data: Fluency and Exam Drill

Question 1

B1 Discrete cao
B1 valid reason, e.g. the number of pets can only take whole-number values oe
Answer: Discrete, because the number of pets can only take whole-number values (0, 1, 2, ...).

Question 2

B1 Continuous cao
Answer: Continuous

Question 3

B1 Qualitative (categorical) cao
B1 valid reason, e.g. favourite colour is a non-numerical label, not a number oe
Answer: Qualitative (categorical), because a colour is a non-numerical label rather than a number.

Question 4

B1 True cao
Answer: True

Question 5

B1 Secondary data cao
B1 valid reason, e.g. the data already existed and was collected by someone else (the council), not the student oe
Answer: Secondary data, because it was already collected and published by the council, not by the student herself.

Question 6

B1 identifies that the question suggests or prompts a particular answer
B1 correct supporting detail, e.g. the phrase 'don't you agree' pressures the respondent to say yes oe
Answer: It is leading because the wording ("don't you agree") pushes the respondent towards answering yes, rather than giving their own honest opinion.

Question 7

M1 correct method, (4x0)+(7x1)+(6x2)+(3x3)
A1 28 cao
Answer: 28

Question 8

B1 Pilot survey (pilot study) cao
Answer: Pilot survey

Question 9

M1 5 classes of width 10 given, covering 0 up to 50
A1 0-9, 10-19, 20-29, 30-39, 40-49 all cao
Answer: 0-9, 10-19, 20-29, 30-39, 40-49

Question 10

B1 Two-way table cao
Answer: Two-way table

Question 11

B1 identifies the sheet is missing an 'Other' category
B1 correct supporting detail, e.g. a vehicle that is silver or green could not be recorded oe
Answer: It has no 'Other' category, so a vehicle of a colour not listed (e.g. silver or green) could not be recorded.

Question 12

B1 Continuous cao
Answer: Continuous

Question 13

B1 True cao
Answer: True

Question 14

M1 correct method, dividing 118 by 30 and rounding up
A1 4 classes cao (0-29, 30-59, 60-89, 90-119)
Answer: 4 classes

Question 15

B1 Systematic sampling cao
B1 valid reason a questionnaire may be unreliable, e.g. pupils may not remember their exact arrival time accurately oe
B1 correct supporting detail linking the reason to this investigation, e.g. this could make the reported times inaccurate compared with observing pupils directly oe
Answer: (a) Systematic sampling. (b) Pupils may not remember or report their exact arrival time accurately, so questionnaire answers could be less accurate than direct observation.

Question 16

M1 correct method, 52 + 38 + 41
M1 correct method, 180 minus the sum of the other three
A1 49 cao
Answer: 49

Question 17

B1 a closed question about hours of sleep with non-overlapping response options, e.g. 'How many hours do you usually sleep? Tick one: fewer than 6 / 6 to 8 / more than 8' oe
B1 options do not overlap and cover all realistic values
B1 valid way to test the hypothesis, e.g. compare the mean number of hours slept by cyclists with the mean for car drivers oe
Answer: (a) e.g. 'How many hours do you usually sleep on a school night? Tick one: fewer than 6 / 6 to 8 / more than 8'. (b) Compare the mean (or median) sleep time of the cyclist group with the car-driver group to see which is greater.

Question 18

B1 Pilot survey (pilot study) cao
B1 first valid reason, e.g. it checks that questions are clear and easy to understand oe
B1 second valid reason, e.g. it can reveal how long the survey takes, or whether the response categories are suitable oe
Answer: (a) Pilot survey. (b) It checks that questions are clear and not ambiguous, and it can show whether the response categories or timing are suitable before the full survey is run.

Question 19

B1 valid reason for bias, e.g. only readers of that newspaper who choose to respond are included, so the sample is self-selecting oe
B1 correct supporting detail, e.g. this excludes adults who do not read the newspaper or do not go online oe
B1 valid improvement, e.g. take a random sample of adults across the city from the electoral register and contact them directly oe
Answer: (a) The sample is self-selecting: only newspaper readers who choose to respond are counted, excluding everyone else in the city. (b) Take a random sample of adults from the electoral register and contact them directly, instead of relying on volunteers.

Question 20

M1 correct method, 45 minus (11+18+9)
A1 7 cao
B1 Discrete cao, with valid reason, e.g. the number of messages can only take whole-number values oe
Answer: 7 pupils sent 30 or more messages. The class intervals are for discrete data, since the number of text messages can only be a whole number.

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Collecting Data: Fluency and Exam Drill - Worksheets, Questions and Revision

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