A-Level OCR Stats Maths Videos

General

Formulae Booklet

Representing Data

Mean

Mean for discrete data

Calculating the mean from frequency tables

Casio fx calculators: mean from frequency table

Median and Quartiles

Finding the median and quartiles

Cumulative frequency curves

How to interpret class intervals

Estimating the median from a frequency table

Standard Deviation

Standard deviation from frequency tables

Statistical Diagrams

Stem and leaf diagrams

Box and whisker plots

Finding the width and height of a class interval on a histrogram

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Probability

Tree Diagrams

How to draw tree diagrams

Probability tree diagrams and independant events

Combining probabilities - mutually exclusive events

Dependent events

Dependent events - example

Conditional probability in tree diagrams

Conditional probability example

Venn Diagrams

What is a Venn diagram?

Problems involving 3 sets

Algebraic type problem involving 3 sets

Notation and symbols used in Venn diagrams

Shading regions

Probability in Venn diagrams

Conditional probability in Venn diagrams

P(A∪B) and mutually exclusive events

Two Way Tables

Using two way tables with probability

Independent, Dependent and Mutually Exclusive Events

Probability Laws and Definitions

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Discrete Random Variables

Discrete Probability Distributions

Probability distribution tables

Binomial Distribution

Formula for Binomial distribution

Binomial distribution example qestions

Binomial probabilities on a calculator - evaluating P(X=x) for X~B(n,p)

Binomial probabilities on a calculator - evaluating P(X≤x) for X~B(n,p)

Cumulative probability tables for p ≤ 0.5

Cumulative probability tables for p ≥ 0.5

Mean and variance

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Normal Distribution

Normal Distribution

Standard normal distribution: Z~N(0,1)

Normal cumulative distribution function

Inverse normal function to find observed values

Casio fx calculators: calculating probabilities for Z~N(0,1)

Calculating probabilities from a normal distribution

Calculating P(X<x) where x>μ

Calculating P(X>x) where x>μ

Calculating P(X>x) where x<μ

Calculating P(X<x) where x<μ

Calculating the mean and standard deviation

Finding the mean using tables

Finding the mean given a percentile

Finding the standard deviation using tables/calculator

Finding both the mean and standard deviation

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Correlation and Linear Regression

Correlation

Pearson's Product Moment Correlation Coefficient using a Casio calculator

Pearson's Product Moment Correlation Coefficient - the formula

Hypothesis testing for zero correlation

Regression

Least squares method

Regression for y on x on a Casio calculator

Calculating a regression line without the calculator statistics function

Meaning of a & b in y = a + bx

Predictions and their reliability

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Statistical Approximations

Normal Approximation to the Binomial Distribution

Continuity corrections

Normal approximation to the Binomial distribution

Hypothesis Tests

Binomial Distribution Hypothesis Tests

Test for a binomial proportion

Lower tail test

Upper tail test

Critical values method: lower tail test

Critical values method: upper tail test

Two tailed test

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