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Unit 12 - Statistics 3 - Normal Distribution

Unit Objectives
  • Understand the concepts of random variables and parameters μ and σ [4.1]
  • Recognise and use property of symmetry about x=μ [4.1]
  • Represent problem in a sketch [4.1]
  • Use GDC to find probabilities using Normal Distribution [4.1] (Video 12.1)
  • Use GDC to solve inverse Normal Distribution problems [4.1] (Video 12.2)
  • Calculate the expected value [4.1]
  • Know that approx. 68% of data lies within μ ± σ, 95% lies within μ ± 2σ, and 99% lies within μ ± 3σ. [4.1] (Video 12.4)
Lesson Resources​
1. Introduction to the Normal Distribution
Lesson
2. Normal Distribution with the GDC
Lesson
3. Inverse Normal
Lesson
Worksheet
For a whole range of mathematical activities for use in and out of the classroom, including random question generators, Bingo generators and worksheet generators, as well as computer based investigations and activities check out my main site: www.interactive-maths.com.

​If you are interested in codes, ciphers and codebreaking, then check out my secondary site, Crypto Corner, dedicated to providing information about all types of ciphers, as well as tools for encrypting, decrypting and breaking messages.
  • Home
  • IGCSE
    • IGCSE Unit Resources >
      • Unit 0 - Simultaneous Equations
      • Unit 0 - Regression
      • Unit 1 - Percentages
      • Unit 2 - Sets
      • Unit 2 - Graphs and GDC
      • Unit 3 - Indices and Surds
      • Unit 4 - Circle Theorems
      • Unit 5 - Formulae
      • Unit 6 - Vectors
      • Unit 7 - Quadratic Equations
      • Unit 8 - Tree Diagrams
      • Unit 9 - Coordinate Geometry
      • Unit 10 - Sequences
      • Unit 11 - Statistical Diagrams
      • Unit 12 - Composite and Inverse Functions
      • Unit 13 - Similarity
      • Unit 14 - Variation
      • Unit 15 - Algebraic Fractions
      • Unit 16 - Advanced Trigonometry
      • Unit 17 - Quadratic Functions
      • Unit 18 - Volumes and Surface Area
      • Unit 19 - Graphs
      • Unit 20 - Logarithms
      • Unit 21 - Transforming Graphs
    • IGCSE Revision Materials
  • IB
    • Mathematics AI SL >
      • AISL Unit Resources >
        • Unit 1 - Number and Algebra
        • Unit 2 - Statistics
        • Unit 3 - Geometry and Trigonometry
        • Unit 4 - Functions and Modelling
        • Unit 5 - Calculus
        • Unit 6 - Probability
      • AISL Revision Materials
    • Mathematics AA SL >
      • AASL Unit Resources >
        • Unit 0 - Proof
        • Unit 1 - Algebra Functions Basics
        • Unit 2 - Functions, Equations and Inequalities
        • Unit 3 - Sequences and Series
        • Unit 4 - Exponentials and Logarithms
        • Unit 5 - Trigonometric Functions and Equations
        • Unit 6 - Differentiation 1
        • Unit 7 - Statistics
        • Unit 8 - Probability
        • Unit 9 - Mensuration
        • Unit 10 - Differentiation 2
        • Unit 11 - Integration
      • AASL Revision Materials
      • AASL Key Skills Generator
    • Mathematics AA HL >
      • AAHL Unit Resources >
        • Unit 1 - Number and Algebra
        • Unit 2 - Functions
        • Unit 3 - Geometry and Trigonometry
        • Unit 4 - Differential Calculus
        • Unit 5 - Integral Calculus
        • Unit 6 - Statistics
        • Unit 7 - Probability
        • Unit 8 - Limits and Differential Equations
        • Unit 9 - Vectors
        • Unit 10 - Complex Numbers
      • AAHL Revision Materials
    • IB Legacy Courses >
      • Mathematical Studies >
        • MSSL Unit Resources >
          • Unit 1 - Number Review
          • Unit 2 - Sequences and Series
          • Unit 3 - Statistics 1
          • Unit 4 - Functions 1
          • Unit 5 - Trigonometry and Mensurations
          • Unit 6 - Functions 2
          • Unit 7 - Statistics 2
          • Unit 8 - Differentiation
          • Unit 9 - Sets and Probability
          • Unit 10 - Functions 3
          • Unit 11 - Financial Maths
          • Unit 12 - Statistics 3
          • Unit 13 - Logic
        • IB Studies Revision Homework
        • MSSL Revision Materials
        • Studies Exam Question Practice
      • Mathematics Higher Level >
        • HL Unit Resources >
          • Unit 1 - Algebra
          • Unit 2 - Functions & Equations
          • Unit 3 - Trigonometry
          • Unit 4 - Exponentials and Logarithms
          • Unit 5 - Statistics and Probability
          • Unit 6 - Differential Calculus
          • Unit 7 - Discrete Probability Distributions
          • Unit 8 - Integral Calculus
          • Unit 9 - Continuous Probability Distributions
          • Unit 10 - Complex Numbers
          • Unit 11A - Statistics Option
          • Unit 11B - Sets and Groups Option
          • Unit 12 - Vectors
        • HL Revision Materials >
          • HL Weekly Quizzes