A-Level Maths: Statistics (Year 1 / AS) is a course for anyone studying A-Level Maths:
This course covers everything in the statistics component of maths A-Level AS content, usually covered in the first year of study (Year 12). The course is suitable for all major exam boards, including Edexcel, OCR, AQA and MEI. It is also a great introduction to statistics for anyone interested in getting started.
The main sections of the course are:
- Analysing Data – we will learn how to calculate means and medians, including from grouped data and using linear interpolation, as well as a range of different measures of spread, including interquartile range and standard deviation. We also how to merge data sets and how to code data.
- Representing Data – we will learn a wide range of different ways to represent data, such as histograms, cumulative frequency curves and box plots. We also look at what outliers are, and how to represent these.
- Bivariate Data – we will learn how to represent bivariate data in a scatter graph, how to interpret correlation, and look at regression lines.
- Probability – we learn what independent and mutually exclusive events are, and how to represent these in Venn diagrams and tree diagrams.
- Binomial Distribution – we learn what the binomial distribution is, how to calculate probabilities with it, including how to use a calculator to speed things up.
- Hypothesis Tests – we learn how carry out a binomial hypothesis test, including one-tailed and two-tailed tests, as well as critical regions.
- Sampling – we review all the major sampling techniques, both random and non-random, applying them to real data sets and discussing the strengths and weaknesses of each.
- Large Data Sets – I have made introductions to the large data set for Edexcel, AQA, OCR and MEI.
There are four extra extended videos at the end where I go question-by-question through the statistics content in the specimen papers of Edexcel, OCR, AQA and MEI.
What you get in this course:
Videos: Watch as I explain each topic, introducing all the key ideas, and then go through a range of different examples, covering all the important ideas in each. In these videos I also point out the most common misconceptions and errors so that you can avoid them.
Quizzes: Each sub-section is followed by a short quiz for you to test your understanding of the content just covered. Most of the questions in the quizzes are taken from real A-Level past papers. Feel free to ask for help if you get stuck on these!
Worksheets: At the end of each chapter I have made a collection of different questions taken from real A-Level past papers for you to put it all together and try for yourself. At the bottom of each worksheet is a full mark-scheme so you can see how you have done.
This course comes with:
- A 30 day money-back guarantee.
- A printable Udemy certificate of completion.
- Support in the Q&A section – ask me if you get stuck!
I really hope you enjoy this course!
Woody
Measures of Location
Measures of Spread
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2Mean from a List of Numbers
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3Mean from a List of Numbers - quiz
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4Mean from a Frequency Table
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5Mean from a Frequency Table - quiz
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6Finding the Mean Quickly Using a Calculator
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7Finding the Mean Quickly Using a Calculator - quiz
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8Estimating the Mean from Grouped Data
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9Estimating the Mean from Grouped Data - quiz
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10Using a Calculator to Estimate the Mean from Grouped Data
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11Estimating the Mean from Summary Statistics
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12Estimating the Mean from Summary Statistics - quiz
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13Median from List of Numbers
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14Median from List of Numbers - quiz
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15Median from a Frequency Table
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16Median from a Frequency Table - quiz
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17Linear Interpolation (to estimate the median)
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18Linear Interpolation (to estimate the median) - quiz
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19Linear Interpolation - examples
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20Linear Interpolation - quiz 2
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21Linear Interpolation - harder examples
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22Linear Interpolation - harder examples quiz
Further Data Handling Techniques
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23The Interquartile Range (IQR)
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24Interquartile Range Examples
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25Interquartile Range - quiz
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26Applications of Interquartile Range
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27Linear Interpolation to Find the Interquartile Range
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28Linear Interpolation to Find the Interquartile Range - quiz
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29Standard Deviation (Method 1)
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30Standard Deviation (Method 1) - quiz
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31Standard Deviation (Method 2)
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32Standard Deviation (Method 2) - quiz
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33MEI Students Only! - Standard Deviation Alternative Formula
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34Standard Deviation Using the Calculator
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35Standard Deviation Using the Calculator
Use your calculator to calculate the standard deviation of the following set of numbers, giving your answer to 3s.f.
240, 281, 390, 430, 552, 609, 669, 733
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36Variance
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37Standard Deviation from Grouped Data
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38Standard Deviation from Grouped Data - quiz
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39OPTIONAL VIDEO! Proof that Methods 1 and 2 are the Same.
Representing Data
Bivariate Data: Correlation and Regression
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47Outliers
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48Outliers - quiz
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49Outliers - An Alternative Definition
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50Boxplots
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51Boxplots - quiz
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52Skew
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53Skew - quiz
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54Cumulative Frequency Curves
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55Cumulative Frequency Curves - quiz
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56Histograms - Drawing
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57Histograms - Interpreting
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58Histograms - Interpreting - quiz
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59Histograms - Dimensions and Problem Solving
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60Histograms - Dimensions and Problem Solving - quiz
Probability
The Binomial Distribution
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66Venn Diagrams (part 1)
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67Venn Diagrams (part 1) - quiz
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68Venn Diagrams (part 2)
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69Venn Diagrams (part 2) - quiz
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70Independent Events (part 1)
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71Independent Events (part 1) - quiz
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72Independent Events (part 2)
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73Independent Events (part 2) - quiz
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74Mutually Exclusive Events
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75Mutually Exclusive Events - quiz
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76Tree Diagrams
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77Tree Diagrams - quiz
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78End of Chapter Practice Questions