## About the course

This Cambridge Mathematics IGCSE Extended course on probability and statistics is designed to give students a comprehensive understanding of the topic, as well as globally recognised training.

Allowing you to achieve grades between A* and E, this course makes learning straightforward, requiring only a computer, internet connection, calculator, notepad and pen to complete.

Once you have completed this course, you will have developed critical thinking and research skills alongside an in-depth understanding of probability and statistics.

## What to expect

This probability and statistics course will guide you through every step of the syllabus strategically. Breaking everything down into manageable sections, you are able to learn, input answers, make corrections and develop your understanding as you work your way through the course.

Enabling you to learn at your own pace and in a location that suits you, mark each section as complete to update your course completion percentage. This great tool helps you to keep an eye on your progress, keeping you motivated while you learn.

## Benefits

- Everything you need to know about probability and statistics
- Broken down into sections
- Learn at your own pace
- Globally respected course
- Input and mark answers as you progress
- Makes learning Cambridge Mathematics courses enjoyable

#### Course Materials

#### Introduction to Probability

- Video - Basic Probability (11:40)
- Video - Standard Pack of 52 Cards (11:18)
- Topic - Basic Properties of Probability
- Topic - Informal Description of Chance: Drag
- Topic - Informal Description of Chance: Multiple Choice
- Topic - Informal Description of Chance: True or False
- Topic - Informal Description of Chance: Likely

#### Experimental Probability

- Video - Probability Problems (4:30)
- Video - Probability involving Tetrahedral Dice 1 (3:18)
- Video - Probability involving Tetrahedral Dice 2 (1:57)
- Video - Estimating Probabilities from Data (5:13)
- Video - Understanding Regular Pack of 52 Cards (2:52)
- Video - Solving Regular Pack of 52 Cards Problems involving Probability (4:57)
- Video - Probability of Choosing All Different Suits from Regular Pack of 52 Cards (3:31)
- Video - Probability involving Dice (7:22)
- Video - Probability involving Sum of Faces of Dice (2:20)
- Video - Probability involving Product of Faces of Dice (6:01)

#### Sampling With Replacement

- Video - Probability with Replacement (6:07)
- Video - Probability with Replacement Excluding Duplicates (3:33)
- Video - Probability of Events with Replacements 1 (2:36)
- Video - Probability of Events with Replacements 2 (2:14)
- Video - Probability of Events with Replacements 3 (1:48)
- Topic - Sampling without Replacement
- Topic - Sampling with Replacement

#### Complementary Events

- Video - Probability of Events using At Least 1 (4:31)
- Video - Understanding Complementary Events (15:28)
- Video - Probability of Events without Replacements (4:07)
- Video - Arithmetic Calculation of Probability (1:22)
- Video - Probability of Events using At Most (2:00)
- Video - Probability of Events using At Least 2 (8:49)

#### Laws of Probability

- Video - Addition Rule of Probability (3:59)
- Video - Addition Rule of Probability involving Mutually Exclusive Events (5:53)
- Video - Product Rule of Probability (5:28)
- Video - Product Rule of Probability Involving Repeated Occurrences (5:34)
- Video - Probabilities involving Addition Rule and Product Rule (2:18)
- Video - Addition of Probabilities (9:59)
- Video - Probability involving Inequality & Logarithm (5:53)
- Video - Finding Values involving Probability, Inequality and Logarithm (2:28)
- Video - Probability and Inequality (3:15)
- Video - Probability involving Number Digits 1 (5:40)
- Video - Probability involving Number Digits 2 (1:28)
- Topic - Addition Law of Probability

#### Dependent Events

- Video - Dependent Events involving Orders (1:47)
- Video - Dependent Events in Choosing Books (5:42)
- Video - Dependent Events involving Birthdays (2:00)
- Video - Probability involving Dependent Events 1 (2:38)
- Video - Probability involving Dependent Events 2 (3:12)
- Video - Probability involving Dependent Events 3 (3:27)
- Video - Probability Without Replacement (5:57)
- Video - Probability without Replacement involving Ordering Events (4:30)
- Video - Probability Without Replacement involving Counting Techniques (4:55)
- Video - Probability without Replacement involving Specific Orders (6:42)
- Video - Probability without Replacement involving Selection of Items (6:04)
- Video - Probability without Replacement involving Raffles (4:01)
- Topic - Conditional Probability Formula
- Topic - Conditional Probability

#### Independent Events

- Video - Independent Events (7:09)
- Video - Basic Independent Events (4:46)
- Video - Independent Events in Tables (2:05)
- Video - Independent Events in Ordering Events (4:44)
- Video - Independent and Compound Events (4:07)
- Video - A Pair of Regular Dice (3:46)
- Video - Independent Events (1:00)
- Video - Probability involving Independent Events 1 (1:37)
- Video - Probability involving Independent Events 2 (3:10)
- Video - Probability involving Independent Events 3 (3:54)
- Video - Probability involving Independent Events 4 (1:33)
- Video - Probability involving Ordering Events 1 (2:47)
- Video - Probability involving Ordering Events 2 (2:48)
- Topic - Determining Independent & Dependent Events
- Topic - Pairing Independent Events

#### Tree Diagrams

- Video - Basic Tree Diagrams (5:03)
- Video - Tree Diagrams involving Without Replacement (5:49)
- Video - Tree Diagrams involving Percentages (7:45)
- Video - Tree Diagrams involving Independent Events (3:44)
- Video - Tree Diagrams involving Compound Events (7:15)
- Video - Tree Diagrams involving Twice as Likely (6:31)
- Video - Asymmetrical Tree Diagrams (2:10)
- Video - Tree Diagrams involving Ordering Events (3:15)
- Video - Tree Diagrams for Sample Spaces (4:11)
- Video - Probability involving Probability Tree 1 (2:34)
- Video - Probability involving Probability Tree 2 (2:35)
- Video - Probability involving Probability Tree 3 (2:39)
- Topic - Play with Tree Diagrams

#### Sets and Venn Diagrams

- Video - Understanding Venn Diagrams (2:43)
- Video - Drawing Venn Diagrams for Two Events (3:39)
- Video - Drawing Venn Diagrams for Three Events (5:06)
- Video - Drawing Venn Diagrams and Sets (2:20)
- Video - Drawing Venn Diagrams and Subsets (0:55)
- Video - Drawing Venn Diagrams and Mutually Exclusive Sets (0:48)
- Video - Elements in Venn Diagrams with Two Sets (4:12)
- Video - Elements in Venn Diagrams with Three Sets (3:13)
- Video - Representing Data in Venn Diagrams (3:40)
- Video - Representing Events Without Replacements in Venn Diagrams (4:48)
- Video - Probabilities in Venn Diagrams (5:01)
- Video - Drawing Three Circles in Venn Diagrams (8:52)
- Topic - Sets and Venn Diagrams

#### Sample Types

- Topic - Census or Sample 1
- Topic - Census or Sample 2
- Topic - Census or Sample 3
- Topic - Sampling Types
- Topic - Random Sampling by Random Number Generators 1
- Topic - Random Sampling by Random Number Generators 2
- Topic - Systematic Sampling 1
- Topic - Systematic Sampling 2
- Topic - Systematic Sampling 3
- Topic - Random Sampling, Stratified Sampling or Systematic Sampling 1
- Topic - Random Sampling, Stratified Sampling or Systematic Sampling 2

#### Cumulative Frequency Graphs and Ogive

- Video - Reading Cumulative Frequency Histogram (5:33)
- Video - Drawing Cumulative Frequency Histogram (1:46)
- Video - Reading Cumulative Frequency Polygon (3:26)
- Video - Interquartile Range from Cumulative Frequency Polygon (1:14)
- Video - Measure of Dispersion using Cumulative Frequency Graph (6:28)
- Video - Median from a Cumulative Frequency Graph (7:32)
- Video - Sketching Cumulative Frequency Graphs for Finding Median (2:30)
- Video - Reading Cumulative Frequency Graphs (4:43)
- Video - Median from a Grouped Cumulative Frequency Graph (5:56)

#### Box-and-Whisker Plots

- Video - Understanding Box-and-Whisker Plots (2:17)
- Video - Constructing Box-and-Whisker Plots (3:19)
- Video - Stem-and-Left Plots to Box-and-Whisker-Plots (3:19)
- Video - Drawing Box-and-Whisker Plots from Even Number of Scores (9:49)
- Video - Reading Box-and-Whisker Plots (6:40)
- Video - Drawing Box-and-Whisker Plots from Stem-and-Leaf Plots (8:37)
- Video - Drawing Box-and-Whisker Plots from Odd Number of Scores 1 (8:07)
- Video - Drawing Box-and-Whisker Plots from Odd Number of Scores 2 (2:09)
- Video - Reading Double Box-and-Whisker Plots (2:00)
- Video - Constructing Double Box-and-Whisker Plots (2:00)
- Video - Back-to-Back Stem-and-Leaf Plots to Double Box-and-Whisker Plots (5:39)

#### Stem-and-Leaf Plots

- Video - Understanding Stem-and-Leaf Plots (7:05)
- Video - Reading Stem-and-Leaf Plots (2:06)
- Video - Constructing Stem-and-Leaf Plots (3:14)
- Video - Understanding Double Stem-and-Leaf Plots (3:30)
- Video - Reading Double Stem-and-Leaf Plots (3:17)
- Video - Constructing Double Stem-and-Leaf Plots (4:25)
- Video - Measure of Dispersion using Stem-and-Leaf Plots (7:24)
- Video - Distribution using Stem-and-Leaf Plots (5:14)

#### Median

- Video - Calculating the Median (3:01)
- Video - Median of Odd Scores (1:17)
- Video - Median of Even Scores (1:50)
- Video - Finding Missing Scores Given Median (2:32)
- Video - New Median by Additional Scores (2:11)
- Video - Introduction to a Median (5:22)
- Video - Median of Odd Scores from a Frequency Table (3:38)
- Video - Median of Repeated Even Scores from a Frequency Table (2:22)
- Video - Median of Non-Repeated Even Scores from a Frequency Table (2:26)
- Topic - Median: Odd Number of Scores
- Topic - Median: Even Number of Scores
- Topic - Median in Distribution
- Topic - Median in Frequency Table of Odd Scores
- Topic - Median in Frequency Table of Even Scores

#### Mean

- Video - Calculating Mean (0:46)
- Video - Calculating Mean with Frequencies (0:47)
- Video - Calculating Mean using Calculators (3:59)
- Video - Calculating Mean with Frequencies using Calculators (7:39)
- Video - Calculating the Mean (2:31)
- Video - Calculating the Mean of Different Units (1:41)
- Video - Calculating New Mean by Adding Additional Scores (2:34)
- Video - Finding Unknown Scores from Mean (2:01)
- Video - Understanding Mean from UnGrouped Data (2:35)
- Video - Mean from UnGrouped Data by Frequency Table (1:03)
- Video - Missing Frequency Values from Frequency Table (3:02)
- Video - Finding Mean (2:51)

#### Mean from Data in Class

- Video - Distribution using Class Tables (3:12)
- Video - Understanding Mean from Grouped Data (3:30)
- Video - Mean from Grouped Data by Frequency Table (2:51)
- Video - Missing Frequency Values from Frequency Class Table (4:07)
- Topic - Discrete Intervals of 4
- Topic - Discrete Intervals of 9
- Topic - Discrete Intervals of 19
- Topic - Continuous Intervals
- Topic - Finding Frequencies

#### Range and Interquartile Range

- Video - Understanding Range (1:30)
- Video - Finding Interquartile Range from Even Number of Data (6:19)
- Video - Finding Interquartile Range from Odd Number of Data (2:21)
- Video - Understanding Interquartile Range (3:07)
- Video - Finding Interquartile Range from Even Number of Scores (6:24)
- Video - Finding Interquartile Range from Odd Number of Scores (4:18)