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

Check out the Statistics Index for topics

Representing Data

Mean

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

Up to Top | Down to Index

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 Top | Down to Index

Standard Deviation

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

Up to Top | Down to Index

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

Up to Top | Down to Index

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

Up to Top | Down to Index

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 Top | Down to Index

Two Way Tables

  1. Probability in two way tables

Up to Top | Down to Index

Independent, Dependent and Mutually Exclusive Events

  1. Independent, dependent and mutually exclusive events

Up to Top | Down to Index

Discrete Random Variables

Discrete Probability Distributions

  1. Probability distribution tables

Up to Top | Down to Index

Binomial Distribution

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

Up to Top | Down to Index

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)

Up to Top | Down to Index

Correlation and Linear Regression

Correlation

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

Up to Top | Down to Index

Regression

  1. Regression
  2. Interpreting the regression line constants, explanatory and response variables
  3. Making predictions and reliability of predicted values

Up to Top | Down to Index

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

Up to Top | Down to Index

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

Up to Top | Down to Index

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