Data Handling, Statistics and Probability

Lew W. S., May 31, 2015

Applets, mainly by others that help visualize the data handling, counting. probability and various parameters and statistical calculations

Table of Contents

  1. Collection of Individual Worksheets by Own and Others
    1. Visualizing Statistical Information
    2. Data Visualization
    3. Dot Plot Tool
    4. AQR Section 17: Dot Plot and Box-and-Whisker Plot
    5. AQR Section 16: Matching a Pie Chart to a Dot Plot
    6. Interactive Dot Diagram(with Illustration of Mean, Median)
    7. Stem and Leaf Plot Template
    8. Median and mean visualisation
    9. Mean Median Mode -Tabulated Data with Visual Mode
    10. Mean Median Mode -Tabulated Data with Visual Mode Example 2
    11. AQR Section 17: Mean but Sensitive
    12. Compare Box and Whisker and Dot Plots
    13. Boxplot Game
    14. AQR Section 17: Calculating Summary Statistics
    15. Cumulative frequency graph and box plot
    16. Sampling Distribution of the Mean
    17. Adjustable Historgram
    18. Randomised Histograms (unequal class widths)
    19. Drawing Histograms
    20. From Histograms to Frequency Polygons
    21. Histogram
    22. Histogram with unequal class intervals
    23. Statistics on Number of Rainy Days in Month (1982 to 2019) in Singapore
    24. Standard Deviation Investigation
    25. S1_Standard Deviation
    26. Mean & Standard Deviation of Grouped Data
    27. Transforming Data
    28. Distribution of Sample Means
    29. Probability with Area
    30. Sample Simulation
    31. Random Flipping of Coins
    32. Playing Card Tool (SVG)
    33. Year 7 Statistics
    34. Conditional probability: Medical tests and risk of disease
    35. Introduction to Probability ---- The Rolling of a Die
    36. Link to David Gurney's Charts and Graphs
    37. oefening kans met boomdiagram
    38. Probability and Tree Diagram
    39. Boomdiagram, dynamisch. (Tree diagram, dynamic)
    40. oefening kans met boomdiagram
    41. Permutation of different cards (distinguishable objects)
    42. Big Tree Diagram
    43. Probability trees
    44. Displaying grouped data as individual values and as frequency histogram
    45. Utility Tool for Calculation of Common Statistical Measures For Grouped Data
  2. Statistics Activities (John Golden)
    1. Random Flipping of Coins
    2. Linear Regression
    3. Dot Plot Interactive
    4. Linear Regression with Random Set of Points
    5. Playing Card Tool (SVG)
  3. Statistical Applets (Advanced Level)
    1. Chi-square distribution
    2. Normal Curve with SD slider
    3. F distribution
    4. Binomial Distribution with Normal Approximation
    5. T distribution and standard normal curve
    6. Binomial Distribution with Normal Approximation
    7. Sampling Distribution of the Sample Mean
    8. Central Limit Theorem Demonstration, Uniform Distribution
    9. Linear Regression
    10. Empirical and Theoretical Histograms
    11. Flip a Fair Coin
    12. Flipping 5 Coins
    13. Linear Regression with Random Set of Points
    14. Linear Regression
    15. Galton Board & Binomial Distribution
    16. Tree diagram and binomial coefficients
  4. Statistics (collated by sonom)
    1. histograms
    2. distribution of letters
    3. pie chart
    4. Practicing Statistical Calculation-1
    5. the bell curve
    6. measures of center
    7. pi digits
    8. frequency scale
    9. coin flipping-1
    10. flipping a coin
    11. binomial and normal
    12. random data-1
    13. random data-2
    14. coin tossing simulation
    15. dotplot
    16. rolling a dice
    17. rolling two dice
    18. rolling two dice-1
  5. Others' compilations
    1. Compilation of Statistics :Collected Resources
    2. Compilation on Numbers and Spaces

1.

Collection of Individual Worksheets by Own and Others

  • 1. Visualizing Statistical Information
  • 2. Data Visualization
  • 3. Dot Plot Tool
  • 4. AQR Section 17: Dot Plot and Box-and-Whisker Plot
  • 5. AQR Section 16: Matching a Pie Chart to a Dot Plot
  • 6. Interactive Dot Diagram(with Illustration of Mean, Median)
  • 7. Stem and Leaf Plot Template
  • 8. Median and mean visualisation
  • 9. Mean Median Mode -Tabulated Data with Visual Mode
  • 10. Mean Median Mode -Tabulated Data with Visual Mode Example 2
  • 11. AQR Section 17: Mean but Sensitive
  • 12. Compare Box and Whisker and Dot Plots
  • 13. Boxplot Game
  • 14. AQR Section 17: Calculating Summary Statistics
  • 15. Cumulative frequency graph and box plot
  • 16. Sampling Distribution of the Mean
  • 17. Adjustable Historgram
  • 18. Randomised Histograms (unequal class widths)
  • 19. Drawing Histograms
  • 20. From Histograms to Frequency Polygons
  • 21. Histogram
  • 22. Histogram with unequal class intervals
  • 23. Statistics on Number of Rainy Days in Month (1982 to 2019) in Singapore
  • 24. Standard Deviation Investigation
  • 25. S1_Standard Deviation
  • 26. Mean & Standard Deviation of Grouped Data
  • 27. Transforming Data
  • 28. Distribution of Sample Means
  • 29. Probability with Area
  • 30. Sample Simulation
  • 31. Random Flipping of Coins
  • 32. Playing Card Tool (SVG)
  • 33. Year 7 Statistics
  • 34. Conditional probability: Medical tests and risk of disease
  • 35. Introduction to Probability ---- The Rolling of a Die
  • 36. Link to David Gurney's Charts and Graphs
  • 37. oefening kans met boomdiagram
  • 38. Probability and Tree Diagram
  • 39. Boomdiagram, dynamisch. (Tree diagram, dynamic)
  • 40. oefening kans met boomdiagram
  • 41. Permutation of different cards (distinguishable objects)
  • 42. Big Tree Diagram
  • 43. Probability trees
  • 44. Displaying grouped data as individual values and as frequency histogram
  • 45. Utility Tool for Calculation of Common Statistical Measures For Grouped Data

1.1.

Visualizing Statistical Information

Study the two sets of data given.[br]Answer the questions in the applet.
Which statistic, ie mean median or mode did you use to decide which class performed better in the test? Give your reason for your choice(s).[br]Did you consider the standard deviation or interquartile range in deciding which class performed better ? Why did you, or why did you not consider it?
– Lew W. S.

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2.

Statistics Activities (John Golden)

sketches that use, apply, or create a context for statistical thinking.

  • 1. Random Flipping of Coins
  • 2. Linear Regression
  • 3. Dot Plot Interactive
  • 4. Linear Regression with Random Set of Points
  • 5. Playing Card Tool (SVG)

2.1.

– Steve Phelps

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3.

Statistical Applets (Advanced Level)

Applets for visualizing concepts in introductory statistics.

  • 1. Chi-square distribution
  • 2. Normal Curve with SD slider
  • 3. F distribution
  • 4. Binomial Distribution with Normal Approximation
  • 5. T distribution and standard normal curve
  • 6. Binomial Distribution with Normal Approximation
  • 7. Sampling Distribution of the Sample Mean
  • 8. Central Limit Theorem Demonstration, Uniform Distribution
  • 9. Linear Regression
  • 10. Empirical and Theoretical Histograms
  • 11. Flip a Fair Coin
  • 12. Flipping 5 Coins
  • 13. Linear Regression with Random Set of Points
  • 14. Linear Regression
  • 15. Galton Board & Binomial Distribution
  • 16. Tree diagram and binomial coefficients

3.1.

Chi-square distribution

Drag the slider to see the shape of the chi-square curve for different degrees of freedom.
Chi-square distribution
– Camille Fairbourn

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4.

Statistics (collated by sonom)

  • 1. histograms
  • 2. distribution of letters
  • 3. pie chart
  • 4. Practicing Statistical Calculation-1
  • 5. the bell curve
  • 6. measures of center
  • 7. pi digits
  • 8. frequency scale
  • 9. coin flipping-1
  • 10. flipping a coin
  • 11. binomial and normal
  • 12. random data-1
  • 13. random data-2
  • 14. coin tossing simulation
  • 15. dotplot
  • 16. rolling a dice
  • 17. rolling two dice
  • 18. rolling two dice-1

4.1.

histograms

– sonom

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5.

Others' compilations

Collection of resources for Probability and Statistics by Others

  • 1. Compilation of Statistics :Collected Resources
  • 2. Compilation on Numbers and Spaces

5.1.

Compilation of Statistics :Collected Resources

[size=200][url=https://www.geogebra.org/m/v8au3nx4]https://www.geogebra.org/m/v8au3nx4[br][br][/url]by [url=https://www.geogebra.org/u/jack.jackson]Dr. Jack L. Jackson II[/url][/size]
– Lew W. S.

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