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      Statistical problems - data collection

      Lesson details

      Learning outcome

      I can choose what data needs to be collected to explore a statistical problem.

      Key learning points

      1. Different statistical problems need investigating in different ways.
      2. Effective data collection avoids bias where appropriate.
      3. When sampling from a population, the sample size needs to be practical.

      Keywords

      • Population - The population is the entire set of people, creatures, plants or items that make up the whole group which is being studied.

      • Bias - Bias can be present in any sample collected from a population and may affect the results of a statistical investigation

      • Sample - A sample is a subset of the population

      Common misconception

      The word 'population' always refers to the entire population of a country or the world.

      The population in a given context is defined by the entire set of people/creatures/items that are being considered.

      Teacher tip

      To distinguish between different populations, ask "What is the population of this class? Estimate the population of the year group. Estimate the population of the school. Estimate the population of the town. Estimate the population of the country.".

      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.
      When you count how many individuals (people, animals etc.) are in each category of a data set you are finding the for each category.

      Correct Answer: frequency, FREQUENCY

      Q2.
      Put the stages of a data investigation in order.

      1 - asking a question to explore
      2 - collecting data
      3 - organising the data
      4 - analysing the data
      5 - interpreting the data
      6 - choosing outcomes or actions based on the results

      Q3.
      Which of these data sets can only contain integer values?

      distances travelled on a train (miles)
      Correct answer: number of people travelling on a train
      time spent on a train (minutes)
      weights of trains (tons)

      Q4.
      Which tool measures length?

      Correct answer: measuring tape
      stop watch
      weighing scales

      Q5.
      What is the frequency of 'moon' in the list?

      An image in a quiz
      Correct Answer: 4, four

      Q6.
      Which is an example of a tally chart?

      Correct Answer: An image in a quiz
      An image in a quiz
      An image in a quiz

      6 Questions

      Q1.
      Which tool could be used to collect data about how satisfied customers are after using their business?

      measuring tape
      Correct answer: questionnaire
      timer
      weighing scales

      Q2.
      Which tool could you use to collect data about the frequencies of different species of birds that land in a garden?

      interview
      questionnaire
      Correct answer: tally chart
      timer

      Q3.
      Which word describes the entire set of people, creatures, plants or items that make up the whole group that is being studied in a data investigation?

      bias
      method
      Correct answer: population
      sample

      Q4.
      A is a subset of the population of a data investigation.

      Correct Answer: sample, SAMPLE

      Q5.
      Alex wants to investigate how much time 16 year-old pupils in the UK spend doing homework per week. What is the population in Alex's investigation?

      all school pupils in the UK
      Correct answer: all 16 year-old school pupils in the UK
      all pupils in Alex's school
      all 16 year-old pupils in Alex's school

      Q6.
      Laura wants to investigate how much time pupils in her school spend watching cartoons per week. Which of these samples would be the most representative of the population in Laura's investigation?

      20 people in the oldest year group
      20 people in the middle year group
      10 people from the oldest year group and 10 people from the youngest year group
      Correct answer: 4 people from each of the 5 year groups in the school

      To help you plan your 8 maths lesson on: Statistical problems - data collection, download all teaching resources for free and adapt to suit your pupils' needs...