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S1 Tutorials

S1 Tutorials – Edexcel International A Level (IAL)

Collecting Data

Understanding population, census and samples

  1. Understanding Population, census and sample
  2. Random Sampling Methods
  3. Non Random Sampling methods

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

Independent, Dependent and Mutually Exclusive Events

  1. Independent, dependent and mutually exclusive events

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

The Normal Distribution

The Normal Distribution

  1. The normal distribution
  2. The standard normal distribution Z~N(0,1) - Using tables or calculator
  3. Probabilities from a normal distribution using tables
  4. Exam Questions - Normal distribution, finding a probability
  5. Calculating the mean μ and standard deviation σ
  6. Exam Questions - Calculating the mean and standard deviation
  7. Exam Questions - Finding an observed value

Correlation and Linear Regression

Correlation

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

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