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Introduction to Statistics (RRCC)

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Introduction to Statistics (RRCC)

This student-centered, open-source stats textbook builds conceptual understanding through real data, visuals, and interactive tools. Covering core topics like sampling, inference, and regression, it features step-by-step explanations, a semester-long housing project, and digital-friendly delivery. Designed for clarity, engagement, and flexibility, it's ideal for both students and instructors seeking practical, adaptable statistics resources.

Statistics
Author
Mathematics Department
Publisher
Red Rocks Community College
Source
LibreTexts
License
CC BY
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 101 sections
  1. 01: Introduction to Data
  2. 1.01: What is Statistics
  3. 1.02: Data Types- Categorical vs. Numerical
  4. 1.03: Populations Samples and Sampling Methods
  5. 1.04: Sources of Bias and Randomness
  6. 1.05: Exploring Statistical Questions
  7. 1.06: Designing a Statistical Study
  8. 1.07: Vocabulary (Chapter 1)
  9. 1.08: Practice (Chapter 1)
  10. 02: Exploring and Summarizing Data
  11. 2.01: Measures of Central Tendency- Mean Median and Mode
  12. 2.02: Measures of Spread- Range Variance and Standard Deviation
  13. 2.03: The Five-Number Summary and Interquartile Range
  14. 2.3.01: Percentage Review
  15. 2.04: Identifying Outliers with Boxplots
  16. 2.05: Vocabulary (Chapter 2)
  17. 2.06: Practice (Chapter 2)
  18. 03: Visualizing Data
  19. 3.01: Graphical Displays for Categorical Data- Bar Charts Pie Charts
  20. 3.02: Graphical Displays for Quantitative Data- Dot Plots and Stemplots
  21. 3.03: Frequency Tables and Histograms
  22. 3.04: Shapes of Distributions
  23. 3.05: Time Series Plots and Trends Over Time
  24. 3.06: Vocabulary (Chapter 3)
  25. 3.07: Practice (Chapter 3)
  26. 04: Introduction to Probability
  27. 4.01: What is Probability
  28. 4.02: Introduction to Counting
  29. 4.03: Foundational Probability Rules
  30. 4.04: Compound Events Independence and Conditional Probability
  31. 4.05: Vocabulary (Chapter 4)
  32. 4.06: Practice (Chapter 4)
  33. 05: Probability Distributions
  34. 5.01: Random Variables- Discrete and Continuous
  35. 5.02: Expected Value of Discrete Distributions
  36. 5.03: Discrete Distributions- Bernoulli and Binomial
  37. 5.04: The Normal Distribution
  38. 5.05: The Empirical Rule and Standard Normal (Z) Distribution
  39. 5.06: Application of the Normal Distribution
  40. 5.07: Vocabulary (Chapter 5)
  41. 5.08: Practice (Chapter 5)
  42. 06: Sampling Distributions
  43. 6.01: Sampling Distributions
  44. 6.02: Mean and Standard Deviation of Sampling Distributions
  45. 6.03: Central Limit Theorem- Meaning and Implications
  46. 6.04: CLT for Means and Proportions
  47. 6.05: Approximating Binomial with the Normal Distribution
  48. 6.06: Vocabulary (Chapter 6)
  49. 6.07: Practice (Chapter 6)
  50. 07: Confidence Intervals
  51. 7.01: Point Estimates vs. Interval Estimates
  52. 7.02: Confidence Intervals for a Population Proportion
  53. 7.03: Confidence Intervals for a Population Mean
  54. 7.04: Effect of Sample Size and Confidence Level
  55. 7.05: Minimum Sample Size
  56. 7.06: Interpreting Confidence Intervals
  57. 7.07: Vocabulary (Chapter 7)
  58. 7.08: Practice (Chapter 7)
  59. 08: Hypothesis Testing
  60. 8.01: Why hypothesis testing and Type I and Type II Errors
  61. 8.02: Hypothesis Testing Framework
  62. 8.03: Tests for a Single Mean (z and t-tests)
  63. 8.04: Comparing Two Means (Independent Samples)
  64. 8.05: Tests for a Single Proportion
  65. 8.06: Testing For Two Proportions
  66. 8.07: Interpreting p-values and Significance
  67. 8.08: Vocabulary (Chapter 8)
  68. 8.09: Practice (Chapter 8)
  69. 09: Bivariate Data Correlation and Regression
  70. 9.01: Scatterplots and Direction of Association
  71. 9.1.01: Datasaurus Dozen
  72. 9.02: Correlation Coefficient (r)
  73. 9.03: Calculating r
  74. 9.3.01: Interpretation of r-squared
  75. 9.04: Significance of Correlation
  76. 9.05: Least-Squares Regression Line
  77. 9.06: Interpreting Slope Intercept and Residuals
  78. 9.07: Cautions with Correlation and Causation
  79. 9.08: Vocabulary (Chapter 9)
  80. 9.09: Practice (Chapter 9)
  81. 10: Project Labs Appendix and Tables
  82. 10.01: Project Assignments
  83. 10.1.01: Sampling and Data Web Page
  84. 10.1.02: Quantitative Variable Analysis
  85. 10.1.03: Qualitative Variable Analysis
  86. 10.1.04: Interval Estimates
  87. 10.1.05: Hypothesis Testing
  88. 10.1.06: Correlation
  89. 10.02: Technology Labs
  90. 10.2.01: Tech Lab 1
  91. 10.2.02: Tech Lab 2
  92. 10.2.03: Tech Lab 3
  93. 10.2.04: Tech Lab 4
  94. 10.2.05: Tech Lab 5
  95. 10.2.06: Tech Lab 6
  96. 10.2.07: Tech Lab 7
  97. 10.03: Summary Statistic Cards
  98. 10.04: Project Reflection
  99. 10.05: z-Table
  100. 10.06: t-Table
  101. 11: Applets and Other Stuff