Collecting Data

Scheme of work: GCSE Foundation: Year 10: Term 2: Collecting Data

Prerequisite Knowledge

  • Interpret and construct statistical diagrams for discrete and continuous data and know their appropriate use.
  • interpret, analyse and compare the distributions of data sets from univariate empirical distributions through:
    • appropriate graphical representation involving discrete, continuous and grouped data
    • appropriate measures of central tendency (median, mean, mode and modal class) and spread

Success Criteria

  • Infer properties of populations or distributions from a sample whilst knowing the limitations of sampling.
  • apply statistics to describe a population
  • Interpret, analyse and compare the distributions of data sets from univariate empirical distributions through appropriate graphical representation involving discrete, continuous and grouped data.

Key Concepts

  • Students need to understand the benefits of using two-way tables to exhaustively cover each outcome for multiple events and use them to calculate probabilities.
  • When designing questionnaires students need to consider time periods, multiple check boxes which do not overlap and the need to collect a wide ranging sample to reduce bias.
  • It is important to recognise the different statistical techniques that are used to analyse and represent qualitative, quantitative, discrete and continuous data.

Common Misconceptions

  • Students often have difficulty designing two-way tables.
  • When designing questionnaires common errors include:
    • No time period
    • Overlapping responses
    • Lack of ‘none’ or ‘other’ option.
    • Check boxes with unequal widths.
    • Double negative questions.
  • Students often try to represent continuous data using methods that are only applicable for discrete sets.

Collecting Data Resources

Mr Mathematics Blog

Planes of Symmetry in 3D Shapes

Planes of Symmetry in 3D Shapes for Key Stage 3/GCSE students.

Use isometric paper for hands-on learning and enhanced understanding.

GCSE Trigonometry Skills & SOH CAH TOA Techniques

Master GCSE Math: Get key SOH-CAH-TOA tips, solve triangles accurately, and tackle area tasks. Ideal for students targeting grades 4-5.

Regions in the Complex Plane

Explore Regions in the Complex Plane with A-Level Further Maths: inequalities, Argand diagrams, and geometric interpretations.