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Numerical summaries of data

Numerical summaries of data

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Why this why now

Building on work pupils have undertaken on averages in key stage 2, and linking to the previous unit where we summarised data graphically, pupils now explore representing data numerically. Pupils focus on the concept of measures of central tendency and range. We also begin to look at correlation as a relationship between data.

Prior knowledge requirements

  • Calculate mean, median, mode and range
  • Organise data in frequency tables
  • Interpret results in context

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Why this why now

Building on work pupils have undertaken on averages in key stage 2, and linking to the previous unit where we summarised data graphically, pupils now explore representing data numerically. Pupils focus on the concept of measures of central tendency and range. We also begin to look at correlation as a relationship between data.

Prior knowledge requirements

  • Calculate mean, median, mode and range
  • Organise data in frequency tables
  • Interpret results in context

Numerical summaries of data

In this unit pupils explore the concept of measures of central tendancy, developing understanding of different types of average and their relative benefits and drawbacks. We then investigate other summaries of data such as the range and data comparison techniques.

19 lessons in unit

  1. 1

    Checking understanding of the mean

    I can understand what the mean is measuring, how it is measuring it and calculate the mean from data presented in a list.
  2. 2

    Calculating the mean

    I can calculate the mean from data presented in a frequency table and different graphs.
  3. 3

    Understanding the median

    I can understand what the median is measuring, how it is measuring it and find the median from data presented in a list.
  4. 4

    Calculating the median

    I can calculate the median from data presented in a frequency table and different graphs.
  5. 5

    Understanding the mode

    I can understand what the mode is measuring, how it is measuring it and find the mode from data presented in a list.
  6. 6

    Calculating the mode

    I can calculate the mode from data presented in a frequency table and different graphs.
  7. 7

    Understanding and calculating the range

    I can understand what the range is measuring, how it is measuring it and calculate the range from data presented in a range of different ways.
  8. 8

    Summarising data

    I can see that the different measures of central tendency offer a summary of a set of data.
  9. 9

    Changing a data point

    I can see how certain statistical measures may change as a result of changes in the data.
  10. 10

    Evaluating the range

    I can evaluate the range as a measure of spread, including a consideration of outliers.
  11. 11

    Comparing statistical representations

    I can see that different statistical representations offer different insights into a set of data.
  12. 12

    Comparing summaries of data

    I can use the different measures of central tendency and spread to compare two sets of data.
  13. 13

    Analysing different statistical representations

    I can use the different statistical representations to compare two sets of data.
  14. 14

    Correlation

    I can recognise relationships between bivariate data represented on a scatter graph.
  15. 15

    Statistical problems - data collection

    I can choose what data needs to be collected to explore a statistical problem.
  16. 16

    Statistical problems - statistical summaries

    I can choose appropriate statistical measures to explore a statistical problem.
  17. 17

    Statistical problems - data presentations

    I can choose appropriate representations to explore a statistical problem.
  18. 18

    Statistical problems - drawing conclusions

    I can effectively summarise and communicate conclusions to a statistical problem.
  19. 19

    Problem solving with numerical summaries of data

    I can use my understanding of various data summaries to solve problems.

Learn how you can make the best use of Oak resources

A step-by-step guide to getting started

Get more out of Oak