S1 Tutorials – OCR A Level Maths

Contents

Representing Data
Mean
Median and Quartiles
Skewness
Standard Deviation
Statistical Diagrams
Probability
Possibility Space
Tree Diagrams
Venn Diagrams
Independent, Dependent and Mutually Exclusive Events
Permutations and Combinations
Permutations and Combinations
Discrete Random Variables
Discrete Random Variables
Binomial Distribution
Geometric Distribution
Correlation and Linear Regression
Correlation
Regression
Spearman’s Rank Correlation Coefficient

Representing Data

Mean

  1. Mean for discrete data
  2. Calculating the mean from a frequency table
  3. Exam Questions - Discrete data / mean

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Median and Quartiles

  1. Median, lower, upper quartiles and interquartile range for discrete data
  2. Exam Questions - Median, lower, upper quartiles and interquartile range for discrete data
  3. Cumulative frequency curves
  4. How to interpret class intervals
  5. Estimating the median, quartiles, percentiles from a grouped frequency table
  6. Exam Questions - Estimating the median from a grouped frequency table
  7. Exam Questions - Estimating the median from a histogram

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Skewness

  1. Types of skewness by comparing the mean with the median or quartiles

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Standard Deviation

  1. Standard deviation
  2. Exam Questions - Discrete data / standard deviation
  3. Exam Questions - Continuous data / standard deviation

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Statistical Diagrams

  1. Stem and leaf diagrams
  2. Box and whisker plots
  3. Exam Questions - Stem and leaf diagrams and box and whisker plots
  4. Histograms
  5. Exam Questions - Histograms
  6. Histograms - How to find the width and height of a class interval
  7. Exam Questions - Histograms, Finding the length and width of a rectangle

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Probability

Possibility Space (Sample Space)

  1. Possibility space diagrams

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Tree Diagrams

  1. Tree Diagrams
  2. Probability Tree Diagrams for Independent Events
  3. And Rule (multiplication) / Or Rule (addition for mutually exclusive events)
  4. Probability Tree Diagrams for Dependent Events
  5. Conditional probability in tree diagrams
  6. Exam Questions - Tree diagrams

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Venn Diagrams

  1. Venn diagrams
  2. 3 set problems
  3. Notation and defining regions
  4. Probability in Venn diagrams
  5. Conditional probability in Venn diagrams
  6. P(A∪B) and mutually exclusive events
  7. Exam Questions - Venn diagrams

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Independent, Dependent and Mutually Exclusive Events

  1. Independent, dependent and mutually exclusive events

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Permutations and Combinations

Permutations and Combinations

  1. Permutations of n different items
  2. Permutations of r items from n different items
  3. Permutations of repeated letters in a word
  4. Permutations with restrictions: letters / items together
  5. Permutations with restrictions : items at the ends
  6. Permutations with restrictions : items must not be together
  7. Combinations of n different items
  8. Combining combinations
  9. Probability using permutations and combinations

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Discrete Random Variables

Discrete Random Variables

  1. Probability distribution tables
  2. Cumulative distribution function F(X)
  3. Expected values E(X)
  4. Expected values E(X²)
  5. Variance, Var(X)
  6. Linear combinations of discrete random variables
  7. Exam Questions - Discrete random variables

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Binomial Distribution

  1. Binomial distribution
  2. Binomial probabilities on a calculator
  3. Cumulative probability tables
  4. Mean and variance
  5. Exam Questions - Binomial distribution

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Geometric Distribution

  1. Geometric distribution
  2. Calculating probabilities
  3. Calculating least trials before a success
  4. The expected value, E(X)

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Correlation and Linear Regression

Correlation

  1. Correlation
  2. Product moment correlation coefficient (pmcc)
  3. Exam Questions - Correlation

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Regression

  1. Regression
  2. Interpreting the regression line constants, explanatory and response variables
  3. Making predictions and reliability of predicted values
  4. Exam Questions - Regression

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Spearman’s Rank Correlation Coefficient

  1. Spearman's rank correlation coefficient
  2. Exam Questions - Spearman's Rank Correlation Coefficient

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