Chapter 1: Mathematical Modelling
数学建模
学习如何将现实世界的问题转化为数学模型,掌握建模的基本步骤和方法。
Chapter 2: Measures of Location and Spread
位置和离散程度的度量
学习描述性统计的基本概念,包括中心趋势度量和离散程度度量。
2.2 Measures of Central Tendency
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2.3 Other Measures of Location
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2.4 Measures of Spread
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2.5 Variance and Standard Deviation
练习
Chapter 3: Representations of Data
数据表示
学习各种数据可视化方法,包括直方图、箱线图、茎叶图等。
3.4 Stem and Leaf Diagrams
练习
Chapter 4: Probability
概率
学习概率的基本概念,包括韦恩图、条件概率、独立事件等。
4.1 Understanding Probability Vocabulary
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4.3 Mutually Exclusive and Independent Events
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4.5 Conditional Probability
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4.6 Conditional Probabilities in Venn Diagrams
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4.7 Probability Formulae
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Chapter 5: Correlation and Regression
相关与回归
学习变量间关系的分析方法,包括散点图、线性回归和相关系数。
5.3 Calculating Least Squares Linear Regression
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5.4 The Product Moment Correlation Coefficient
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Chapter 6: Discrete Random Variables
离散随机变量
学习离散随机变量的概念,包括概率分布、期望值和方差。
6.1 Discrete Random Variables
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6.2 Finding the Cumulative Distribution Function
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6.3 Expected Value of a Discrete Random Variable
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6.4 Variance of a Discrete Random Variable
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6.5 Expected Value and Variance of a Function of X
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6.6 Solving Problems Involving Random Variables
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6.7 Using Discrete Uniform Distribution as a Model
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Chapter 7: The Normal Distribution
正态分布
学习正态分布的性质和应用,包括标准正态分布和概率计算。
7.1 The Normal Distribution
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7.2 Using Tables to Find Probabilities of Z
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7.3 Using Tables to Find the Value of z
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7.4 The Standard Normal Distribution
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