# MEI Statistics Tutorials for MEI Mathematics A-Level

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

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

## Representing Data

## Mean

## Median and Quartiles

- 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

## Standard Deviation

## Statistical Diagrams

- 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

## Tree Diagrams

## Venn Diagrams

## Two Way Tables

## Independent, Dependent and Mutually Exclusive Events

## Discrete Random Variables

## Discrete Probability Distributions

## Binomial Distribution

## The Normal Distribution

## The Normal Distribution

- 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
- Sampling distribution of the sample means (Normal distribution)
- Sampling distribution of the sample means (Normal distribution) proof
- Introduction to Hypothesis testing for Normal distribution
- Hypothesis testing for Normal distribution (One tailed and 2 tailed test)
- Understanding Critical values (Hypothesis testing for Normal Distribution)
- Hypothesis testing for Normal Distribution - Critical values method (3 examples)