导语
内容提要
本书主要包括概率和统计学的本质、描述和推论统计学、变量和数据的类型、数据搜集和取样技术、观测和试验研究、计算机与微积分、频率分布及图表、组织数据、柱状图、频数多边形和拱形体、数据描述、居中趋势的方法、概率和计数规则、离散概率分别和假设检验等内容。本书适合于高等学校数学及相关专业师生使用,也适合于数学爱好者参考阅读。
作者简介
艾伦·G.布鲁曼,Allan G. Bluman is a professor emeritus at the Community College of Allegheny County, South Campus, near Pittsburgh, Pennsylvania. He has taught mathematics and statistics for over 35 years. He received an Apple for the Teacher award in recognition of his bringing excellence to the learning environment at South Campus. He has also taught statistics for Penn State University at the Greater Allegheny (McKeesport) Campus and at the Monroeville Center. He received his master's and doctor's degrees from the University of Pittsburgh.
He is also author of Elementary Statistics: A Brief Version and coauthor of Math in Our World. In addition, he is the author of four mathematics books in the McGraw-Hill DeMystified Series. They are Pre-Algebra, Math Word Problems, Business Math, and Probability.
目录
Preface
CHAPTER 1 The Nature of Probability and Statistics
Introduction
1-1 Descriptive and Inferential Statistics
1-2 Variables and Types of Data
1-3 Data Collection and Sampling Techniques
Random Sampling
Systematic Sampling
Stratified Sampling
Cluster Sampling
Other Sampling Methods
1-4 Experimental Design
Observational and Experimental Studies
Uses and Misuses of Stotistics
1-5 Computers and Calculators
Summary
CHAPTER 2 Frequency Distributions and Graphs
Introduction
2-1 Organizing Data
Categorical Frequency Distributions
Grouped Frequency Distributions
2-2 Histograms, Frequency Polygons, and Ogives
The Histogram
The Frequency Polygon
The Ogive
Relative Frequency Graphs
Distribution Shapes
2-3 Other Types of Graphs
Bar Graphs
Pareto Charts
The Time Series Graph
The Pie Graph
Dotplots
Stem and Leaf Plots
Misleading Graphs
Summary
CHAPTER 3 Data Description
Introduction
3-1 Measures of Central Tendency
The Mean
The Median
The Mode
The Midrange
The Weighted Mean
Distribution Shapes
3-2 Measures of Variation
Range
Population Variance and Standard Deviation
Sample Variance and Standard Deviation
Variance and Standard Deviation for Grouped
Data
Coefficient of Variation
Range Rule of Thumb
Chebyshev's Theorem
The Empirical (Normal) Rule
Linear Transformation of Data
3-3 Measures of Position
Standard Scores
CHAPTER 4 Probability and Counting Rules
CHAPTER 5 Discrete Probability Distributions
CHAPTER 6 The Normal Distribution
CHAPTER 7 Confidence Intervals and Sample Size
CHAPTER 8 Hypothesis Testing
CHAPTER 9 Testing the Difference Between Two Means, Two Proportions, and Two Variances
CHAPTER 10 Correlation and regression
CHAPTER 11 Other Chi-Square Tests
CHAPTER 12 Analysis of Variance
CHAPTER 13 Nonparametric Statistics
CHAPTER 14 Sampling and Simulation
Appendices
Additional topics online
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