AQA Statistics Tutorials for AQA Mathematics A-Level

Outlined below are topics covered for the AQA Statistics Section B of AQA Mathematics A-Level

In case of changes, check out the official AQA Statistics A-Level section in the mathematics specification

Contents for Statistics AQA

Representing Data
Mean
Median and Quartiles
Standard Deviation
Statistical Diagrams
Probability
Tree Diagrams
Venn Diagrams
Two Way Tables
Independent, Dependent and Mutually Exclusive Events
Discrete Random Variables
Discrete Probability Distributions
The Binomial Distribution
The Normal Distribution
The Normal Distribution
Correlation and Linear Regression
Correlation
Regression
Statistical Approximations
Normal Approximation to the Binomial Distribution
Hypothesis Tests
Hypothesis Tests -Binomial Distribution
Past Papers

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

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Probability

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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Two Way Tables

  1. Probability in two way tables

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Independent, Dependent and Mutually Exclusive Events

  1. Independent, dependent and mutually exclusive events

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Discrete Random Variables

Discrete Probability Distributions

  1. Probability distribution tables

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Binomial Distribution

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

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The Normal Distribution

The Normal Distribution

  1. The normal distribution
  2. Normal Cumulative Distribution Function
  3. Inverse Normal Function to find observed values
  4. The standard normal distribution Z~N(0,1) - Using tables or calculator
  5. Probabilities from a normal distribution using tables
  6. Exam Questions - Normal distribution, finding a probability
  7. Calculating the mean μ and standard deviation σ
  8. Exam Questions - Calculating the mean and standard deviation
  9. Exam Questions - Finding an observed value
  10. Sampling distribution of the sample means (Normal distribution)
  11. Sampling distribution of the sample means (Normal distribution) proof
  12. Introduction to Hypothesis testing for Normal distribution
  13. Hypothesis testing for Normal distribution (One tailed and 2 tailed test)
  14. Understanding Critical values (Hypothesis testing for Normal Distribution)
  15. Hypothesis testing for Normal Distribution - Critical values method (3 examples)

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Correlation and Linear Regression

Correlation

  1. Correlation
  2. Measuring linear correlation using a calculator
  3. Hypothesis testing for zero 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

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Statistical Approximations

Normal Approximation to the Binomial Distribution

  1. Continuity corrections
  2. The normal approximation to the binomial distribution
  3. Exam Questions - Normal approximation to the binomial distribution

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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

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Past Papers

For further revision and practice I have past papers, some with worked solutions – Check them out.

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Statistics Index

binomial distribution
hypothesis tests
box and whisker
correlation
dependent events
discrete probability distributions
discrete random variables
events
dependent
independent
mutually exclusive
histograms – statistical diagrams
hypothesis tests
independent events
mean
median
mutually exclusive events
probability
quartiles
regression
standard deviation
tree diagram
two way tables
Venn diagrams