S1/Statistics 1(AS) > A레벨_AS


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기본설명 교재 : edexcel / 수강기간 : 30일


1. Unit Title: AS Mathematics (Statistic 1)

 

2. Unit Code: WST01/01

 

3. Content Overview: Mathematical models in probability and statistics; representation and summary of data; probability; correlation and regression; discrete random variables; discrete distributions; the Normal distribution.

 

4. Assessment Overview

Unit

Percentage

Mark

Time

Availability

S1: Statistics 1

33 1/3% of IAS

16 2/3% of IAL

75

1 hour 30 mins

January, June and  October

 

5. Summary

 

Statistics 1 introduces us to the common measurements we take in statistical situations, along with an introduction to probability theory.

 

Chapter 1 - Mathematical Modelling

 

We are introduced to the basic concept of a mathematical model, and how they are used to simplify real world problems and used to create predictions. A seven stage process for creating and refining a model is given.

 

Chapter 2 - Measures of Location and Spread

 

Different types of data must be treated differently, and the different types are introduced here. We then look at measures of location, such as the mean, median and mode, and measure of spread such as the interquartile range and standard deviation. We learn the various methods of estimating these depending on the data, and how they can be used to compare and contrast data-sets.

 

Chapter 3 - Representations of Data

 

In this chapter we take the data and statistics we found in the previous chapter and look at the different ways we can represent them visually. This includes the drawing of histograms and box-plots. We also look at identifying outliers, and determining whether or not a data-set is skewed.

 

Chapter 4 - Probability

 

The ideas of theoretical and experimental probability are first introduced, and we learn the notation of sets and its applications to probability. We see how to represent probability spaces via Venn-diagrams and tree diagrams. Definitions of independence and mutual exclusivity are given, and the concept of a conditional probability is presented.

 

Chapter 5 - Correlation and Regression

 

To determine the relationship between two variables, we can draw scatter diagrams and lines of best fit. Instead of guessing, we can use summary statistics to calculate an exact least squares linear regression line and the product moment correlation coefficient to see the strength of correlation. Using simple linear coding we can simplify our calculations.

 

Chapter 6 - Discrete Random Variables

 

In this chapter we begin introducing a formal framework for random variables and probability distributions. We look at the rules governing such distributions, including finding cumulative distributions, expectations and variances. Again we see how we can apply simple coding to distributions to aid problem solving.

 

Chapter 7 - The Normal Distribution

 

This final 1.chapter introduces a ubiquitous distribution whose applications are common all over the world of science and economics. We look at how to standardise a normal distribution and use the cumulative distribution tables to find probabilities. We also see how to use the tables in reverse to find key values and the mean and standard deviation.

강의목록

  • 38 강의
  • 08:00:52
  • 1. 1.1 Mathematical Modelling 00:06:31
  • 2. 1.2 Mathematical Modelling 00:05:06
  • 3. 2.1 Measures of Location and Spread 00:18:19
  • 4. 2.2 Measures of Location and Spread 00:24:25
  • 5. 2.3 Measures of Location and Spread 00:27:37
  • 6. 2.4 Measures of Location and Spread 00:09:40
  • 7. 2.5 Measures of Location and Spread 00:18:58
  • 8. 2.6 Measures of Location and Spread 00:10:31
  • 9. 3.1 Representations of Data 00:18:45
  • 10. 3.2 Representations of Data 00:13:39
  • 11. 3.3 Representations of Data 00:09:08
  • 12. 3.4 Representations of Data 00:11:46
  • 13. 3.5.1 Representations of Data 00:19:18
  • 14. 3.6 Representations of Data 00:09:24
  • 15. 4.1 Probability 00:11:17
  • 16. 4.2 Probability 00:14:30
  • 17. 4.3 Probability 00:12:25
  • 18. 4.4 Probability 00:08:54
  • 19. 4.5 Probability 00:11:59
  • 20. 4.6 Probability 00:04:35
  • 21. 4.7 Probability 00:08:55
  • 22. 4.8 Probability 00:10:02
  • 23. 5.1 Correlation and Regression 00:13:52
  • 24. 5.2 Correlation and Regression 00:14:39
  • 25. 5.3 Correlation and Regression 00:16:48
  • 26. 5.4 Correlation and Regression 00:08:55
  • 27. 6.1 Discrete Random Variables 00:15:34
  • 28. 6.2 Discrete Random Variables 00:13:39
  • 29. 6.3 Discrete Random Variables 00:07:15
  • 30. 6.4 Discrete Random Variables 00:06:57
  • 31. 6.5 Discrete Random Variables 00:11:54
  • 32. 6.6 Discrete Random Variables 00:05:36
  • 33. 6.7 Discrete Random Variables 00:06:11
  • 34. 7.1 The Normal Distribution 00:17:40
  • 35. 7.2 The Normal Distribution 00:15:13
  • 36. 7.3 The Normal Distribution 00:18:10
  • 37. 7.4 The Normal Distribution 00:11:56
  • 38. 7.5 The Normal Distribution 00:10:49

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