Strand 1 Leaving Certificate Higher Level Probability and Statistics  Revised
Improve your understanding of Probability and Statistics in this free online Project Maths Leaving Certificate course.
Description
Statistics are constantly used in real life to organize the information around us and to determine how it might affect us. Statistics looks at the analysis of the data collected and the data handling cycle. This involves posing a question, collecting data on the response, presenting the data, analysing that data (using measures of centre and spread) and interpreting the results. In answering questions, it is very important that you can justify your findings with context.
Probability is concerned with chance, how likely it is that an event will occur. The information can be used to instruct your decisions.
Probability is constantly utilised in the world of insurance, finance and sport among many other fields. Probability can also be used to determine the fairness of a series of events or just a single event. It can be presented using a rulebased approach or diagrams.
Combining the abilities of both fields, Probability and Statistics, can be used to prove/disprove a given statement or conjecture (Hypothesis Testing (HL only)). The aim of this Strand is to merge the mathematical aspects of Probability and Statistics with examples of reallife application. It is a very interesting topic that is accessible to all students.
Start Course NowModules
Counting and Probability Part 1

Counting and Probability Part 1  Learning Outcomes

Arrangements and Selections

Expected Value

Probability Of Simple Events

Probability Of Compound Events

Independent Events

Probability Using Tree Diagrams

Probability Trees With And Without Replacement

Reverse Probability  Bayes' Theorem

Bayes' Theorem And Medical Testing

Probability Patterns Of Discrete Variables

Counting and Probability Part 1  Lesson Summary
Counting and Probability Part 2

Counting and Probability Part 2  Learning Outcomes

Comparing Distributions

The Binomial Distribution

A Problem Using Binomial Distribution

Bernoulli Trials And The Binomial Formula

The Normal Distribution

Using Excel To Calculate Binomial Probabilities

Using Excel To Find The Mean Of A Binomial Distribution

Counting and Probability Part 2  Lesson Summary
Statistics Part 1

Statistics Part 1  Learning Outcomes

Cumulative Frequency and The Ogive

Cumulative Frequency, Quartiles And The InterQuartile Range

Mean Of Grouped Frequency Tables

Constructing A Stem And Leaf Diagram

Comparative Stem And Leaf Diagram

Histograms  Understanding That Area Gives Frequency

Introduction To Sampling Techniques

Random Stratified Sampling

Statistics Part 1  Lesson Summary
Statistics Part 2

Statistics Part 2  Learning Outcomes

Statistical Correlation

Measuring Correlation  Pearson's Correlation Coefficient

Using Excel To Calculate Pearson's Correlation Coefficient

Using Excel To Find Pearson's Correlation Coefficient, Using The Inbuilt Function

Regression Lines And Their Equation

The Mean Of The Coefficients In The Equation Of The Regression Line

Using Excel To Calculate The Equation Of The Regression Line

Using Excel To Find The Equation Of The Regression Line, Using Inbuilt Function

Statistics Part 2  Lesson Summary
Course assessment
Learning Outcomes
Having completed this course students will be able to:
 Recognise the concept of Expected value
 Discuss and define what probability is
 Discuss how to calculate probability in reverse
 Recognize Bayes Theorem
 Identify how to calculate the probability distribution
 Define what a Binomial Distribution is and how to calculate it
 Recognize how to calculate the cumulative frequency of a distribution
 Recognize how to plot a cumulative frequency on a graph
 Identify how to calculate the mean of a grouped frequency table
 Discuss creating a Stem and Leaf Diagram
 Define what statistical correlation is
 Identify how to make a scatter diagram
 Identify how to work out Pearson's Correlation Coefficient
 Discuss what regression lines are and do
Certification
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