Statistical measures (8300 - Foundation - Statistics)

Topic:Statistical measures

Specification references (in recommended teaching order)

Specification content Specification notes
S4
  • Interpret, analyse and compare the distributions of data sets from univariate empirical distributions through:
    • appropriate measures of central tendency (median, mean, mode and modal class)
    • spread (range, including consideration of outliers)

students should know and understand the terms: primary data, secondary data, discrete data and continuous data

S5
  • Apply statistics to describe a population


    S1
    • Infer properties of populations or distributions from a sample, whilst knowing the limitations of sampling



      The subject content (above) matches that set out in the Department for Education’s Mathematics GCSE subject content and assessment objectives document.

      The expectation is that:

      • All students will develop confidence and competence with the content identified by standard type
      • All students will be assessed on the content identified by the standard and the underlined type; more highly attaining students will develop confidence and competence with all of this content
      • Only the more highly attaining students will be assessed on the content identified by bold type. The highest attaining students will develop confidence and competence with the bold content.

      Teaching resources

      Statistical measures - all resources for 3 year route map - zip folder
      Downloadable resource in zip format. 07/10/2014
      Topic overview and lesson plans
      Downloadable resource in pdf format. 07/10/2014

      Lesson 1 Activity 1
      Downloadable resource in doc format. 06/10/2014
      Lesson 2 Activity 1
      Downloadable resource in doc format. 06/10/2014
      Lesson 2 Activity 2
      Downloadable resource in doc format. 06/10/2014
      Lesson 3 Activity 1
      Downloadable resource in doc format. 06/10/2014
      Lesson 6 Activity 1
      Downloadable resource in doc format. 06/10/2014

      Lesson 1 Worksheet 1
      Downloadable resource in doc format. 06/10/2014
      Lesson 1 Worksheet 2
      Downloadable resource in doc format. 06/10/2014
      Lesson 2 Worksheet 1
      Downloadable resource in doc format. 06/10/2014
      Lesson 3 Worksheet 1
      Downloadable resource in doc format. 06/10/2014
      Lesson 3 Worksheet 2
      Downloadable resource in doc format. 06/10/2014
      Lesson 4 Worksheet 1
      Downloadable resource in doc format. 06/10/2014
      Lesson 4 Worksheet 2
      Downloadable resource in doc format. 06/10/2014
      Lesson 5 Worksheet 1
      Downloadable resource in doc format. 06/10/2014
      Lesson 5 Worksheet 2
      Downloadable resource in doc format. 06/10/2014
      Lesson 6 Worksheet 1
      Downloadable resource in doc format. 06/10/2014
      Lesson 6 Worksheet 2
      Downloadable resource in doc format. 06/10/2014

      Lesson 1 Homework sheet 1
      Downloadable resource in doc format. 06/10/2014
      Lesson 2 Homework sheet 1
      Downloadable resource in doc format. 06/10/2014
      Lesson 3 Homework sheet 1
      Downloadable resource in doc format. 06/10/2014
      Lesson 4 Homework sheet 1
      Downloadable resource in doc format. 06/10/2014
      Lesson 5 Homework sheet 1
      Downloadable resource in doc format. 06/10/2014
      Lesson 6 Homework sheet 1
      Downloadable resource in doc format. 06/10/2014

      Diagnostic Questions - statistical measures 1
      AQA have teamed up with Craig Barton's Diagnostic Maths website to share free diagnostic question assessment for the 2017 GCSE Maths qualification. 27/04/2017
      Diagnostic Questions - statistical measures 2
      AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic question assessment for the 2017 GCSE Maths qualification. 27/04/2017
      Diagnostic Questions - statistical measures 3
      AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic question assessment for the 2017 GCSE Maths qualification.27/04/2017

      Activity S5: Interpreting bar charts, pie charts and box and whisker plots
      A card sort activity in which students compare different diagrammatical representations of distributions. (Note: box and whisker plots are higher tier only.) 04/08/2015

      Grouped Frequency Tables
      Finding averages from grouped frequency tables powerpoint 02/03/2015
      Mean vs Median
      Mean and median overview03/03/2015
      Measures of average in grouped data
      An introduction to how to find estimates for the mean, median and mode for grouped data.04/08/2015

      Activity S5: Interpreting bar charts, pie charts and box and whisker plots
      A card sort activity in which students compare different diagrammatical representations of distributions. (Note: box and whisker plots are higher tier only.) 04/08/2015
      Discrete vs Continuous
      A powerpoint introduction to what is meant by discrete and continuous data, followed by an associated card sorting exercise. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015
      Finding Averages from a Frequency Tables
      Interactive frequency table activity02/03/2015
      Finding the Mean from Frequency Tables
      Calculating mean activity02/03/2015
      Larks and Owls
      An open ended investigation in which students design their own hypothesis and collect data which is then processed using calculation and graphs to form a conclusion.04/08/2015
      Sampling Techniques
      Students consider a range of sampling methods and decide which method would be best in a wide range of scenarios and how the sampling methods described might be improved. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015

      Comparing distributions using averages
      Classroom activities involving calculations of the mean, median, mode and range to compare and contrast two sets of data. Includes a comparison of which type of average is most suitable when. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015
      Outliers
      Collecting data interactive worksheet02/03/2015
      The Mean from a Frequency Table
      Calculating mean interactive worksheet02/03/2015
      What is Data?
      Data interactive worksheet02/03/2015

      Data Handling
      Discrete and continous data questions02/03/2015

      Finding Averages from a Frequency Table
      Finding averages video02/03/2015

      Averages
      Averages Top Trumps game03/03/2015

      A Maths Dictionary for Kids
      Interactive maths dictionary02/03/2015
      Average Child Height
      Child height chart03/03/2015
      Average Height Around the World
      Interactive height chart03/03/2015
      Average heights and weights
      List of average heights and weights around the world 03/03/2015
      Estimated Mean
      Finding the estimated mean from grouped data presentation02/03/2015
      Finding the Mean
      Finding the mean question generator02/03/2015
      Maths Dictionary
      Illustrated Maths dictionary 29/08/2014

      Statistical measures - Homework sheet 1
      Downloadable resource in doc format. 04/04/2010
      Statistical measures - Lesson plan 1
      Downloadable resource in doc format. 08/04/2010
      Statistical measures - Lesson plan 2
      Downloadable resource in doc format. 07/04/2010
      Statistical Measures - Mean Median Mode - Problem Sheet
      Downloadable resource in doc format. 04/04/2010
      Statistical measures - Worksheet 1
      Downloadable resource in doc format. 06/04/2010
      Statistical measures - Worksheet 2
      Downloadable resource in doc format. 05/04/2010

      Topic Tests

      8300 GCSE Foundation Averages Mark Scheme
      Downloadable resource in pdf format. 07/10/2022
      8300 GCSE Foundation Averages Topic Test
      Downloadable resource in pdf format. 07/10/2022
      8300 GCSE Foundation Frequency Tables Mark Scheme
      Downloadable resource in pdf format. 07/10/2022
      8300 GCSE Foundation Frequency Tables Topic Test
      Downloadable resource in pdf format. 07/10/2022
      8300 GCSE Foundation Scatter graphs and Correlation Mark Scheme
      Downloadable resource in pdf format. 01/09/2022
      8300 GCSE Foundation Scatter graphs and Correlation Topic Test
      Downloadable resource in pdf format. 01/09/2022
      8300 GCSE Higher Frequency Tables Topic Test
      Downloadable resource in pdf format. 28/10/2022

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