Statistics and Probability with Mr Downes

Lew W. S., Ronan Downes, Aug 25, 2020

Books to add https://www.geogebra.org/m/g3vLRuB8

Table of Contents

  1. Measures of Central Tendency
    1. Measures of Central Tendency
    2. Estimating the Mean
    3. Measures of Central Tendency (two data sets)
    4. Median
    5. Statistical Analyses
    6. Calculate Inter quartile range
    7. Mean, Median, Mode, and Range
    8. Mean Median Mode -Tabulated Data with Visual Mode
    9. Mean, Median, Mode
    10. AQR Section 17: Mean but Sensitive
    11. Weighted Mean
    12. Mean of a Large Set of Data
    13. Mean
    14. Non-Random Sampling Methods
    15. Stem and Leaf(幹葉圖)
    16. Visualizing Statistical Information
    17. Does TV make you smarter?
    18. +, -, no correlation
  2. Spread
    1. Standard Deviation Formulae
  3. Incoming
    1. Interaktives Galton-Brett
    2. Pie Chart
    3. One hundred trials of 100 coin flips: Number of heads
    4. AQR Section 18: Sample Mean and Sample Standard Deviation
  4. Probability Tree & Venn Diagrams
    1. Operation of 3 Sets #2
  5. conditional probability
    1. page2question1
    2. page2question2
    3. page2question4
    4. page2question5
    5. page2question6
    6. page2question7
    7. page2question8
    8. page2question9
    9. probabilities 2
    10. probabilities 1
  6. K-bugs
    1. Probability: Selecting Balls
    2. Spinner
    3. Dice Rolling Simulation
    4. Random Flipping of Coins
    5. Numbers 1-6 Spinner
    6. a wheel of fortune-1
    7. Tree Diagrams
    8. Permutation Braid, 4 Unique Objects
    9. UCSS Math II 4.3.1 Example 3
    10. UCSS Math II 4.3.2 Example 1
    11. UCSS Math II 4.3.1 Example 2
    12. Conditional probability: Medical tests and risk of disease
    13. rolling a dice
    14. Introduction to Probability ---- The Rolling of a Die
    15. References
    16. References
    17. Normal Probability Curve
    18. Exploring Bayes' Theorem
    19. Binomial and Poisson Exploration
    20. Ant Walk
  7. Spinners
    1. Experimental Probability Spinner
    2. Galtonbrett
  8. Fundamental P C
    1. How Many Outcomes?

1.

Measures of Central Tendency

  • 1. Measures of Central Tendency
  • 2. Estimating the Mean
  • 3. Measures of Central Tendency (two data sets)
  • 4. Median
  • 5. Statistical Analyses
  • 6. Calculate Inter quartile range
  • 7. Mean, Median, Mode, and Range
  • 8. Mean Median Mode -Tabulated Data with Visual Mode
  • 9. Mean, Median, Mode
  • 10. AQR Section 17: Mean but Sensitive
  • 11. Weighted Mean
  • 12. Mean of a Large Set of Data
  • 13. Mean
  • 14. Non-Random Sampling Methods
  • 15. Stem and Leaf(幹葉圖)
  • 16. Visualizing Statistical Information
  • 17. Does TV make you smarter?
  • 18. +, -, no correlation

1.1.

Measures of Central Tendency

Select the number of data, drag the dot to change the data (0 to 20) or click "Random Data".
Mr Downes Maths [br][url=https://www.rdmath.com/]https://www.rdmath.com/[/url]
It will help if you take the word arithmetic to have its narrow meaning of absolute change or just adding. For multiplying we will use the word geometric.[br][br][br]A mean is an extension of the midpoint where there can be more than two numbers.
– Ronan Downes, Alex CHIK

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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1.8.

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1.9.

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1.10.

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1.11.

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1.12.

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1.13.

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1.14.

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1.15.

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1.16.

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1.17.

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1.18.

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2.

Spread

  • 1. Standard Deviation Formulae

2.1.

Standard Deviation Formulae

Use formulae to calculate standard deviation-secondary school level
Standard Deviation Formulae
– Cristina Masotta, David T

3.

Incoming

  • 1. Interaktives Galton-Brett
  • 2. Pie Chart
  • 3. One hundred trials of 100 coin flips: Number of heads
  • 4. AQR Section 18: Sample Mean and Sample Standard Deviation

3.1.

Interaktives Galton-Brett

Hier eine erweiterte Version des Galtonbrettes[br]Man kann einerseits die Länge (=Anzahl der Dreiecke in der letzten Reihe), andererseits die Wahrscheinlichkeit, mit der die "Kugel" den rechten WEg wählt einstellen. Die Animation kann ganz einfach gestartet und pausiert werden und wenn für die Darstellung der absoluten Anzahl nicht mehr genügend Platz vorhanden ist, dann kann das ganze auch normalisiert dargestellt werden.
– Kurt Söser

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4.

Probability Tree & Venn Diagrams

  • 1. Operation of 3 Sets #2

4.1.

Operation of 3 Sets #2

Union Intersection Complement Difference Venn-Euler Diagram
Operation of 3 sets #2
– LikitMaths

5.

conditional probability

  • 1. page2question1
  • 2. page2question2
  • 3. page2question4
  • 4. page2question5
  • 5. page2question6
  • 6. page2question7
  • 7. page2question8
  • 8. page2question9
  • 9. probabilities 2
  • 10. probabilities 1

5.1.

page2question1
– Dr Brooks

5.2.

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5.3.

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5.4.

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5.5.

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5.6.

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5.7.

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5.8.

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5.9.

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5.10.

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6.

K-bugs

  • 1. Probability: Selecting Balls
  • 2. Spinner
  • 3. Dice Rolling Simulation
  • 4. Random Flipping of Coins
  • 5. Numbers 1-6 Spinner
  • 6. a wheel of fortune-1
  • 7. Tree Diagrams
  • 8. Permutation Braid, 4 Unique Objects
  • 9. UCSS Math II 4.3.1 Example 3
  • 10. UCSS Math II 4.3.2 Example 1
  • 11. UCSS Math II 4.3.1 Example 2
  • 12. Conditional probability: Medical tests and risk of disease
  • 13. rolling a dice
  • 14. Introduction to Probability ---- The Rolling of a Die
  • 15. References
  • 16. References
  • 17. Normal Probability Curve
  • 18. Exploring Bayes' Theorem
  • 19. Binomial and Poisson Exploration
  • 20. Ant Walk

6.1.

Probability: Selecting Balls

Probability: Selecting Balls
Probability: Selecting Balls
– mcdull

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6.3.

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6.4.

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6.5.

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6.6.

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6.7.

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6.8.

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6.9.

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6.10.

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6.11.

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6.12.

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6.13.

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6.14.

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6.15.

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6.16.

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6.17.

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6.18.

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6.19.

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6.20.

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7.

Spinners

  • 1. Experimental Probability Spinner
  • 2. Galtonbrett

7.1.

Experimental Probability Spinner

Press "Spin" to make the spinner land on a random color.[br]The Spinner will calculate the experimental probability after each trial.[br]Press "Reset" to start over.
1. What do you think the probability should be for each color, before using the spinner?[br][br]2. How does the experimental probability compare to the anticipated probability?
– Samantha Garcia

7.2.

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8.

Fundamental P C

  • 1. How Many Outcomes?

8.1.

How Many Outcomes?

Many questions on contests ask you to count certain things where you have choices. It could be options on outfits, pizzas, sandwich, or many other similar things. A video explaining how to approach such problems is available at [url]http://www.artofproblemsolving.com/Videos/external.php?video_id=179[/url].
How Many Outcomes?
– Kevin Hopkins

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