## Statistics - Introduction to Advanced Learning Path

Statistical analysis is a skill valued by many modern companies and businesses, particularly in helping to keep them competitive in today's market. The Alison learning paths on statistics will help you build a basic understanding of the subject which you can implement in your daily life. This learning path will help you if you are hoping to move into the area of statistics or wish to increase your grades in the subject. The Alison statistics learning path covers all the basics of statistics and the effects of probability on the subject. You will look at important areas in statistics, with a focus on the information expected in the junior and leaving certificate exams.

### Courses in this Learning Path

1. #### Probability and Chance in Mathematics

This Probability and Chance in Mathematics course introduces you to the mathematics of probability, chance and the analysis of data. The course begins by introducing data collection and analysis, graphs and frequency distribution. The course examines chance in the context of gambling, odds and probability. The course is of interest to anybody who needs to analyse mathematical data and is particularly valuable to students studying for exams.

3-4 Hours
50 Points
2. #### Statistics, Correlation and Regression in Mathematics

This online statistics course will first cover the main types of univariate data. Here, you will gain a strong understanding of categorical data and numerical data, which is further categorized into continuous data and discrete data. You will then learn how to display data using bar graphs and stem and leaf graphs. Next, you will study bivariate data and cover topics on dependent and independent data, stemplots and boxplots. You will also be guided through important statistical methods such as calculating the mean, median, and mode.

Next, the statistics course will introduce you to the concept of an interquartile range and teach you how to create boxplots. You will also study important aspects of data distribution, learn how to calculate and interpret seasonal indices, and how to deseasonalise data. Next, you will move on to the subjects of coefficients of determination, scatterplots, and calculating r. The course will wrap up with the topics on regression line, non-linear data, residual analysis, and trends.

This free statistics course is suitable for math students who are looking for a study aid to help them understand statistics a little more clearly. As the lessons also provide effective exam study techniques, they will also be great help for anyone preparing for examinations. So why wait? Check out the Statistics, Correlation, and Regression in Mathematics course today and start bringing your statistics skills to the next level.

1.5-3 Hour
50 Points
3. #### Junior Certificate Strand 1 - Ordinary Level - Probability and Statistics

This course begins by teaching you how to compute for arrangements. You will study how to arrange and select objects as well as look at a group frequency table to compute for the estimated mean, median class, modal class, and range. You will also learn that a stem and leaf diagram can help you quickly summarize data while maintaining the individual data points. You will then study how to construct a stem and leaf diagram and get them in order.

Stem-and-leaf diagrams are a visual representation of grouped discrete data and are an excellent tool for organizing information. This course will teach you how to draw a comparative stem-and-leaf diagram for data. You will then look into a histogram which is a graphical display of data using bars of different heights to help you discover and visualise the underlying frequency distribution (shape) of a set of continuous data. You will also look into the probability of simple events.

Statistics looks at the data handling cycle and analysis of collected data. Upon the completion of this course, you will be able to understand the process involved in posing a question, collecting data on that question, presenting that data, analyzing the data using measures of spread and centre, and interpreting the results. So, check out the course and learn how to contextualize and justify your findings using probability and statistics to make informed decisions.

1.5-3 Hour
50 Points
4. #### Junior Certificate Strand 1 - Higher Level - Probability and Statistics

Probability and Statistics is one of the strands of the new Project Maths Course in the Irish curriculum. Statistics are used in real life to make sense of the information around us and how it affects us.

Statistics looks at the data handling cycle and analysis of the data collected. This involves posing a question, collecting data on that question, presenting that data, analysing the data (using measures of spread and centre) and interpreting the results. In answering questions, it is essential that you can contextualise and justify your findings.

Probability is concerned with the likelihood of an event(s) happening. The information can be used to make informed decisions. The use of probability is commonly utilised in the world of finance, insurance and sport among others.

Probability can also be used to infer the fairness of an event or series of events. It can be evaluated using a diagram or a rule-based approach.

This Strand attempts to merge the mathematical aspects of Probability and Statistics with its real-life application. It is an interesting topic that is very accessible to all students.

1.5-3 Hour
50 Points
5. #### Strand 1 Ordinary Level Probability and Statistics

Probability and Statistics is one of two strands introduced in the first phase of the new Project Maths Course. This topic covers up to half of the new Paper 2 in the Leaving Certificate Paper in the Irish curriculum.

Statistics are used in real life to make sense of the information around us and how it affects us. Statistics looks at the data handling cycle and analysis of the data collected. This involves posing a question, collecting data on that question, presenting that data, analysing the data (using measures of spread and centre) and interpreting the results.

In answering questions, it is essential that you can contextualise and justify your findings. Probability is concerned with the likelihood of an event(s) happening. The information can be used to make informed decisions.

The use of probability is commonly utilised in the world of finance, insurance and sport among others. Probability can also be used to infer the fairness of an event or series of events. It can be evaluated using a diagram or a rule-based approach.

This Strand attempts to merge the mathematical aspects of Probability and Statistics with its real-life application. It is an interesting topic that is very accessible to all students.

1.5-3 Hour
50 Points
6. #### Strand 1 Higher Level Probability and Statistics

Probability and Statistics is one of two strands introduced in the first phase of the new Project Maths Course in the Irish curriculum. This topic covers up to half of the new Paper 2 in the Leaving Certificate Paper.

Statistics are used in real life to make sense of the information around us and how it affects us. Statistics looks at the data handling cycle and analysis of the data collected. This involves posing a question, collecting data on that question, presenting that data, analysing the data (using measures of spread and centre) and interpreting the results. In answering questions, it is essential that you can contextualise and justify your findings.

Probability is concerned with the likelihood of an event(s) happening. The information can be used to make informed decisions. The use of probability is commonly utilised in the world of finance, insurance and sport among others. Probability can also be used to infer the fairness of an event or series of events. It can be evaluated using a diagram or a rule-based approach.

A combination of Probability and Statistics can be used to prove/disprove a given conjecture or statement (Hypothesis Testing (HL only)). This Strand attempts to merge the mathematical aspects of Probability and Statistics with its real-life application. It is an interesting topic that is very accessible to all students.

3-4 Hours
50 Points
7. #### Leaving Certificate - Probability and Statistics Ordinary Level

This course begins with an introduction to data. You will learn that univariate data is data involving one variable and bivariate data involves two pieces of data. You will also look into categorical data, numerical data, and continuous and discrete data as well as sample types including simple random, stratified, cluster, quota, and convenience sampling. You will also look study the frequency table, pie chart, stem and leaf plot, histogram and bar chart.

You will then study the fundamental principle of counting which states that If there are m ways for one activity to occur, and n ways for a second activity to occur, then there are m*n ways for both to occur. This course will also discuss permutations and combinations. You will look into probability which is a type of ratio where we compare how many times an outcome can occur compared to all possible outcomes. You will also learn how to find probabilities theoretically, study the basic rules of probability, and more.

The use of probability is commonly utilised in the world of finance, insurance, and sport and can also be used to infer the fairness of an event or series of events while statistics are used in real life to make sense of the information around us and how it affects us. Upon the completion of this course, you will be able to evaluate a probability using a diagram or a rule-based approach as well as use statistics to look at the data handling cycle and analyse data collected. Sign up for this course and start learning today!

1.5-3 Hour
50 Points
8. #### Leaving Certificate - Probability and Statistics Higher Level

This course begins with an introduction to data. You will study the different types of data including categorical data, numerical data, and continuous and discrete data. You will also look into the frequency table, pie chart, histogram, and bar chart. This course will also discuss the methods of representing data, the measures of central tendency and central spread, stem-and-leaf plots, skewness, and correlation as well as the mean, median, mode, range, and interquartile range.

You will then look into probability which is concerned with the chance that something may happen. You will learn how to calculate for the probability of events occurring using rules or diagrams such as tables, tree, and Venn diagrams. You will learn about the expected value which is used widely in insurance industries and casino games, study binomial and normal distribution, hypothesis testing which is a statistical method of proving/disproving a hypothesis, and more.

Probability is concerned with the likelihood of an event happening and a combination of probability and statistics can be used to prove/disprove a given conjecture or statement. Upon the completion of this course, you will gain better insight into the mathematical aspects of probability and statistics with real-life applications to help you make informed decisions. Sign up for this course and gain a better understanding of Probability and Statistics today!

1.5-3 Hour
50 Points