S1 Tutorials – AQA A Level Maths

Contents

Representing Data
Mean
Median and Quartiles
Skewness
Standard Deviation
Statistical Diagrams
Probability
Possibility Space
Tree Diagrams
Venn Diagrams
Discrete Random Variables
Binomial Distribution
The Normal Distribution
The Normal Distribution
Correlation and Linear Regression
Correlation
Regression
Estimation and Sampling
Estimation and Sampling

Representing Data

Mean

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

Up to Contents

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

Up to Contents

Skewness

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

Up to Contents

Standard Deviation

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

Up to Contents

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

Up to Contents

Probability

Possibility Space (Sample Space)

  1. Possibility space diagrams

Up to Contents

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

Up to Contents

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

Up to Contents

Discrete Random Variables

Binomial Distribution

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

Up to Contents

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

Up to Contents

Correlation and Linear Regression

Correlation

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

Up to Contents

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

Up to Contents

Estimation and Sampling

Estimation and Sampling

  1. Simple random sampling
  2. What is a statistic?
  3. Sampling distribution of the sample mean
  4. Sampling distribution of the mode and median
  5. Exam Questions - Estimation and sampling, Median
  6. Exam Questions - Estimation and sampling, Range

Up to Contents