S1 Tutorials – MEI A Level Maths

Representing Data

Mean

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

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

Skewness

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

Standard Deviation

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

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

Probability

Possibility Space (Sample Space)

  1. Possibility space diagrams

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

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

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

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

Binomial Distribution

Binomial Distribution

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

Hypothesis Tests

Hypothesis Tests – Binomial Distribution

  1. Test for a binomial proportion
  2. Lower tail test
  3. Upper tail test
  4. Critical values - lower tail test
  5. Critical values - upper tail test
  6. Two tailed test
  7. Exam Questions - Hypothesis tests: binomial distribution