Mr R-C's Classes
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    • 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
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    • 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 >
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    • 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

Unit 11 - Statistics Option

Unit Objectives
By the end of this unit students should be able to:
·        Find and use cumulative distribution functions for both discrete and continuous distributions.
·         Solve problems using the geometric distribution and negative binomial distribution
·         Find and use probability generating functions and their properties
·         Solve problems involving linear combinations of random variables, their expectations and variances
·         Find and use unbiased estimators and estimates
·         Know and use the Central Limit Theorem
·         Find confidence intervals for the mean of  a normal population
·         Carry out one and two tailed hypothesis tests.
·         Identify and find probabilities of Type I and Type II errors
·         Calculate the covariance and (population and sample) product moment correlation coefficient for bivariate data
·         Interpret r and R in terms of correlation
·         Use the t statistic to test the null hypothesis ρ = 0
·         Know the facts that the regression of X on Y and Y on X are linear
·         Calculate least-squares estimates of these regression lines
·         Use regression lines to make predictions
Lesson Resources​
1. Cumulative Distribution Functions
Lesson
2. Geometric Distribution
Lesson
3. Linear Combinations of Random Variables
Lesson
4. ​Sample Means
Lesson
5. Linear Combinations of Normal Distributions
Lesson
6. Sample Means and Normal Distributions
Lesson
7. ​Central Limit Theorem
Lesson
Demo
Demo
8. Negative Binomial Distribution
Lesson
9. Probability Generator Functions
Lesson
10. Probability Generator Functions 2
Lesson
11. Unbiased Estimators of Mean and Variance
Lesson
Activity
12. Unbiased Estimators
Lesson
13. Confidence Intervals
Lesson
14. The t-Distribution
Lesson
15. Confidence Intervals with Unknown Variance
Lesson
16. Introduction to Hypothesis Testing
Lesson
17. Critical Regions
Lesson
18. p-values
Lesson
19. Z-Tests
Lesson
20. T-Tests
Lesson
21. Paired Samples
Lesson
22. Errors in Hypothesis Testing
Lesson
23. Bivariate Distributions
Lesson
24. Covariance and Rho
Lesson
Autograph Activity
25. Hypothesis Testing for Rho
Lesson
26. Linear Regression
Lesson
Autograph 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