Outlined below are topics covered for the Statistics A-Level

## 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

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## Median and Quartiles – Playlist

- Median, lower, upper quartiles and interquartile range for discrete data
- Exam Questions – Median, lower, upper quartiles and interquartile range for discrete data
- Cumulative frequency curves
- How to interpret class intervals
- Estimating the median, quartiles, percentiles from a grouped frequency table
- Exam Questions – Estimating the median from a grouped frequency table
- Exam Questions – Estimating the median from a histogram

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## Standard Deviation – Playlist

- Standard deviation
- Exam Questions – Discrete data / standard deviation
- Exam Questions – Continuous data / standard deviation

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## Statistical Diagrams – Playlist

- Stem and leaf diagrams
- Box and whisker plots
- Exam Questions – Box and whisker plots
- Exam Questions – Stem and leaf diagrams and box and whisker plots
- Histograms
- Exam Questions – Histograms
- Histograms – How to find the width and height of a class interval
- Exam Questions – Histograms, Finding the length and width of a rectangle

## Probability

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## Venn Diagrams – Playlist

- Venn diagrams
- 3 set problems
- Notation and defining regions
- Probability in Venn diagrams
- Conditional probability in Venn diagrams
- P(A∪B) and mutually exclusive events
- Past Exam Questions – Venn diagrams

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## The Normal distribution

## The Normal Distribution – Playlist

- The normal distribution
- Normal cumulative distribution function
- Inverse normal function to find observed values
- The standard normal distribution Z~N(0,1) – using tables or calculator
- Probabilities from a normal distribution using tables
- Exam Questions – Normal distribution, finding a probability
- Calculating the mean μ and standard deviation σ
- Exam Questions – Calculating the mean and standard deviation
- Exam Questions – Finding an observed value

## Correlation and Linear Regression

## Statistical Approximations

## Normal Approximation to the Binomial Distribution – Playlist

- Continuity corrections
- The normal approximation to the binomial distribution
- Exam Questions – Normal approximation to the binomial distribution

## Hypothesis Tests

## Hypothesis Test – Binomial Distribution Playlist

- Test for a binomial proportion
- Lower tail test
- Upper tail test
- Critical values – lower tail test
- Critical values – upper tail test
- Two tailed test
- Exam Questions – Hypothesis tests: binomial distribution