Mr R-C's Classes
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  • IGCSE
    • IGCSE Unit Resources >
      • Unit 1 - Percentages
      • Unit 2 - Sets
      • 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
    • Mathematical Studies >
      • MSSL Unit Resources >
        • Unit 1 - Number Review
        • Unit 2 - Sequences and Series
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        • Unit 4 - Functions 1
        • Unit 5 - Trigonometry and Mensurations
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        • Unit 8 - Differentiation
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        • Unit 13 - Logic
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      • HL Unit Resources >
        • Unit 1 - Algebra
        • Unit 2 - Functions & Equations
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        • Unit 4 - Exponentials and Logarithms
        • Unit 5 - Statistics and Probability
        • Unit 6 - Differential Calculus
        • Unit 7 - Discrete Probability Distributions
        • Unit 8 - Integral Calculus
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        • Unit 11A - Statistics Option
        • Unit 11B - Sets and Groups Option
        • Unit 12 - Vectors
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      • 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
      • AASL Revision Materials
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Unit 5 - Statistics and Probability

Unit Objectives
Prior Knowledge:
  • Calculate probabilities of single and double events.
  • Construct and use tree diagrams and Venn diagrams
  • Know formulae for probability with equally likely outcomes and for the complement of an event.
By the end of this unit students should be able to:
  • Understand concepts of population, sample, random sample and frequency distribution of discrete and continuous data.
  • Calculate and interpret mean, variance and standard deviation
  • Use grouped data, mid-interval values, interval width, upper and lower interval boundaries.
  • Construct and interpret statistical diagrams, including: Histogram, Cumulative Frequency graph, box plot.
  • Understand concepts of trial, outcome, equally likely outcomes, sample space and event
  • Use of tree and Venn diagrams, counting principles and tables to solve problems of probability
  • Solve problems of combined events
  • Understand the concepts of mutually exclusivity and independence and solve problems involving them
  • Solve problems of conditional probability
  • Use Bayes Theorem
Lesson Resources​
1. Introduction to Data
Lesson Sheet
Lesson Sheet Complete
Lesson
2. Histograms
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Lesson Sheet Complete
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Worksheet
3. Central Tendency
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Lesson Sheet Complete
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Activity
4. ​Dispersion
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Lesson Sheet Complete
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Activity
5. Cumulative Frequency and Box Plots
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Lesson Sheet Complete
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Lesson
6. ​Linear Transformations of Data
Lesson Sheet
Lesson Sheet Complete
Activity
7. Intro to Probability
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Activity
8. Experimental Probability
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Lesson Sheet Complete

9. Venn Diagrams
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Lesson Sheet Complete
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10. Probabilities and Counting Techniques
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Lesson Sheet Complete
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11. Addition Rule
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12. Tree Diagrams
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Lesson Sheet Complete
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13. Conditional Probability
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14. Independent Events
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15. Bayes' Theorem
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17. Monty Hall Problem
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18. Non-Transitive Dice
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Notes
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Activity
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 1 - Percentages
      • Unit 2 - Sets
      • 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
    • 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
    • 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
      • AASL Revision Materials
      • AASL Key Skills Generator