Statistics A-Level Tutorials

Outlined below are topics covered for the Statistics A-Level

It is advisable to check the official Pure Maths A-Level specification for your board.
Here are links to the common examination boards for Edexcel, AQA, and OCR.

I am slowly moving all the videos to my YouTube channel. Please use the Playlists to get to the videos in any topic. This work is ongoing.

Contents for Statistics A-Level Tutorials

Representing Data
Probability
Discrete Random Variables
The Normal Distribution

Correlation and Linear Regression
Statistical Approximations
Hypothesis Tests

Past Papers

Representing Data

Mean – Playlist

  1. Mean for discrete data 
  2. Calculating the mean from a frequency table
  3. Calculating the mean using a Casio fx calculator
  4. Exam Questions – Discrete data / mean

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Median and Quartiles – Playlist

  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 – Playlist

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

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Statistical Diagrams – Playlist

  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 – Playlist

    1. Tree diagrams 
    2. Probability tree diagrams for independent events
    3. Combining probabilities – 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 – Playlist

  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. Past Exam Questions – Venn diagrams

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Two Way Tables – Playlist

  1. Probability in two way tables(x) notation

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Independent, Dependent and Mutually Exclusive Events – Playlist

  1. Independent, dependent and mutually exclusive events

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Discrete Random Variables

Discrete Probability Distributions  – Playlist

  1. Probability distribution tables

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Binomial Distribution – Playlist

  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 – Playlist

  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

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Correlation and Linear Regression

Correlation – Playlist

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

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Regression – Playlist

  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 – Playlist

  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 Test – Binomial Distribution Playlist

  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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Pure Maths A-Level 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
normal distribution
probability
quartiles
regression
standard deviation
tree diagram
two way tables
Venn diagrams