A level math statistics 1

1. Representation
of data

Mean

• Mean for discrete data
• Calculating the mean from a frequency table
  • Exam Questions

Median and Quartiles

• Median, lower, upper quartiles and interquartile range for discrete data
  • Exam Questions
• Cumulative frequency curves
• Estimating the median from a grouped frequency table
  • Exam Questions

Standard deviation

• Standard deviation
  • Standard deviation from frequency tables
• Exam Questions

Statistical diagrams

• Stem and leaf diagrams
  • Exam Questions
• Box and whisker plots
  • Exam Questions
• Histograms
  • Exam Questions

2. Permutations
and
combinations

Permutations and Combinations

• Permutations of n different items
  • Permutations of r items from n different items
  • Permutations of repeated letters in a word
  • Permutations with restrictions: letters / items together
  • Permutations with restrictions : items at the ends
  • Permutations with restrictions : items must not be together
• Combinations of n different items
  • Combining combinations

3. Probability

Possibility Space (sample space)

• Possibility space diagrams

Tree diagrams

• Probability tree diagrams
  • Combining probabilities
    • Examples
  • Conditional probability
    • Example

Exam Questions

Permutations and Combinations in Probability

• Permutations and Combinations in probability

4. Discrete random
variables

Discrete random variables

• Probability distribution tables
• Cumulative distribution function F(X)
• Expected values E(X)
• Variance, Var(X)
• Linear Combinations of discrete random variables
  • E(aX+b) and E(ax-b)
  • Var(X+a), Var(X-a) and Var(aX)
• Exam Questions

Binomial Distribution

• Introduction
• Formula
  • An example for you to try
• Cumulative Probability Tables
  • For p less than or equal to 0.5
  • For p greater than 0.5
• Mean and variance

Exam Questions

5. The normal
distribution

• The normal distribution
  • The Standard Normal Distribution Z~N(0,1) - Using tables or calculator
  • Calculating P(X<x) where x>µ
  • Calculating P(X>x) where x>µ
  • Calculating P(X>x) where x<µ
  • Calculating P(X<x) where x<µ
• Calculating the mean and standard deviation
• Exam Questions

Normal Approximation to the Binomial Distribution

• The normal approximation to the binomial distribution (old video)
• The normal approximation to the binomial distribution (updated video)