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      The Statistical Enquiry Cycle

      Lesson details

      Learning outcome

      I can understand the stages of the Statistical Enquiry Cycle.

      Key learning points

      1. Planning involves defining a question to investigate and what data to collect.
      2. Collecting involves designing collection methods.
      3. Processing and presenting involves calculating statistical measures and graphical representations.
      4. Interpreting involves reaching conclusions and making inferences.
      5. Communicating and evaluating involves identifying weaknesses and improvements.

      Keywords

      • Statistical Enquiry Cycle - The Statistical Enquiry Cycle is a cycle used to carry out a statistical investigation. There are five stages. This is an ongoing process as evaluation may lead to new/refined questioning.

      Common misconception

      Pupils may reach false conclusions by not following the Statistical Enquiry Cycle and skipping stages.

      Ask pupils to consider trying to draw conclusions from a large data set of raw values, where no processing or representation has taken place, to highlight the need for that stage in particular.

      Teacher tip

      In groups, pupils could plan and design their own investigation, making sure to follow the stages of the Statistical Enquiry Cycle.

      Licence

      This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0
      except where otherwise stated. See Oak's terms & conditions
      (Collection 2).

      Lesson video

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      Prior knowledge starter quiz

      6 Questions

      Q1.
      Select all the measures of spread.

      frequency
      mean
      median
      mode
      Correct answer: range

      Q2.
      Data has been collected and processed about the number of sweets per packet in 3 different multipacks. The company claims ‘an average of 15 sweets per pack’. Which multipack best supports the claim?

      An image in a quiz
      Multipack A
      Multipack B
      Correct answer: Multipack C
      None of the multipacks
      All of the multipacks

      Q3.
      Izzy and Jun compare their scores in their last 10 maths tests. The tables show the summary statistics. Select the statements that are correct about the mode of their scores.

      An image in a quiz
      Izzy’s variety of scores is lower than Jun’s.
      Izzy’s middle score was lower than Jun’s.
      Correct answer: Izzy’s average, typical score is lower than Jun’s.
      Correct answer: Izzy's most common maths score is lower than Jun's

      Q4.
      Izzy and Jun compare their scores in their last 10 maths tests. The tables show the summary statistics. Select the statements that are correct about the range of their scores.

      An image in a quiz
      Izzy’s variety of scores is greater than Jun’s.
      Correct answer: Izzy’s variety of scores is lower than Jun’s.
      Correct answer: Izzy's test results are more consistent than Jun's.
      Izzy's test results are less consistent than Jun's.

      Q5.
      Jacob went to the gym and surveyed 10 adults in the gym to find out how much exercise they do a week. The mean was 5 hours. Jacob says, "All adults exercise for 5 hours a week." Is he correct?

      Yes, the sample is representative of all adults.
      Yes, 5 hours is a reasonable average.
      Correct answer: No, Jacob's sample is biased as people in the gym are more likely to exercise.
      No, Jacob needs to survey more people from the gym to be sure.
      No, Jacob needs to survey people from the gym on different days to be sure.

      Q6.
      The table of summary statistics shows the number of days of air frost each day in December over the last 10 years. Select the correct statements.

      An image in a quiz
      There is less variability in the number of frosty days in Bristol.
      Correct answer: Bristol is likely to be warmer in December than York as the mean is lower.
      York has fewer frosty days than Bristol as the range is lower.
      Bristol is likely to be colder in December than York as the range is higher.
      Correct answer: There is less variability in the number of frosty days in York.

      6 Questions

      Q1.
      Put the stages of the Statistical Enquiry Cycle in order. Start with the stage that should come first when you first begin a statistical enquiry.

      1 - Planning
      2 - Collecting
      3 - Processing and presenting
      4 - Interpreting
      5 - Communicating and evaluating

      Q2.
      Sofia is conducting a survey to find out how often people visit the gym. Which stage of the Statistical Enquiry Cycle does this event fit in?

      Planning
      Correct answer: Collecting
      Processing and presenting
      Interpreting
      Communicating and evaluating

      Q3.
      Match each stage of the Statistical Enquiry Cycle to an event.

      Correct Answer:Planning,Deciding to research the safety of driverless cars

      Deciding to research the safety of driverless cars

      Correct Answer:Collecting,Testing a driverless car on a track

      Testing a driverless car on a track

      Correct Answer:Processing and presenting,Using a spreadsheet to analyse the data

      Using a spreadsheet to analyse the data

      Correct Answer:Interpreting,Looking at results and deciding what they show

      Looking at results and deciding what they show

      Correct Answer:Communicating and evaluating,Concluding a new driverless car is safe

      Concluding a new driverless car is safe

      Q4.
      Which stage is missing from this Statistical Enquiry Cycle?

      An image in a quiz
      Correct Answer: interpreting, Interpreting, interpret, Interpret

      Q5.
      Jun wants to know what options the year 9 pupils in his school might choose for GCSE. He plans to ask 'What subject is your favourite?'. What statistics can he find with the data from this question?

      Mean
      Median
      Correct answer: Mode
      Range

      Q6.
      Laura wants to find out whether pupils who are good at throwing the javelin are also good at shotput. She collects data for 20 pupils on best javelin and shotput throws. What chart should Laura use?

      Bar chart
      Line graph
      Pie chart
      Correct answer: Scatter graph

      To help you plan your 10 maths lesson on: The Statistical Enquiry Cycle, download all teaching resources for free and adapt to suit your pupils' needs...