Statistics Demonstrations

George Sturr, Jermaine Magee, Jan 15, 2016

Table of Contents

  1. One Variable Statistics
    1. AQR Section 17: Mean but Sensitive
    2. AQR Section 6: Weighted Average Exploration
    3. AQR Section 16: Five Number Summary Exploration
    4. AQR Section 17: Where's the Mean?
    5. AQR Section 17: Which Histogram has more Variation?
    6. AQR Section 16: Matching a Pie Chart to a Dot Plot
  2. Two Variable Statistics
    1. Guess the Correlation!
    2. Polynomial Curve Fit
    3. Sampling from a population of ordered pairs
    4. Sensistive r
    5. Least Squares Demonstration
  3. Simulations
    1. Bag of Marbles
    2. Coin Flip Simulation
    3. Dice Roll Simulation
    4. acertar en la diana - 3
  4. Probability Distributions
    1. Normal Curve Demonstration
    2. Binomial Distribution with Normal Approximation
    3. Student-t vs. Z
  5. Randomizers
    1. Playing Card Dealer
    2. Create Random Integer Lists
    3. Spinner
    4. Non-transitive Spinners
    5. Flipping 5 Coins
  6. Other
    1. Chaos Game

1.

One Variable Statistics

  • 1. AQR Section 17: Mean but Sensitive
  • 2. AQR Section 6: Weighted Average Exploration
  • 3. AQR Section 16: Five Number Summary Exploration
  • 4. AQR Section 17: Where's the Mean?
  • 5. AQR Section 17: Which Histogram has more Variation?
  • 6. AQR Section 16: Matching a Pie Chart to a Dot Plot

1.1.

AQR Section 17: Mean but Sensitive

The mean is a measure of center and [color=#0a971e]balance point[/color] for a distribution. Below is a distribution of 11 data points. Move the [color=#1551b5]blue point[/color] to see how the mean responds to changing this single value within the distribution.[br][br]Use the [b]New Data Set[/b] button, to try this action for several distributions.
Is the mean a [b]resistant measure[/b] of center for a distribution?[br]Is the mean sensitive to a substantial change in the movable [color=#1551b5]blue value[/color]?
– Steve Phelps

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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2.

Two Variable Statistics

  • 1. Guess the Correlation!
  • 2. Polynomial Curve Fit
  • 3. Sampling from a population of ordered pairs
  • 4. Sensistive r
  • 5. Least Squares Demonstration

2.1.

Guess the Correlation!

Guess the correlation of the random scatter plot!
– Steve Phelps

2.2.

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2.3.

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2.4.

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2.5.

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3.

Simulations

  • 1. Bag of Marbles
  • 2. Coin Flip Simulation
  • 3. Dice Roll Simulation
  • 4. acertar en la diana - 3

3.1.

Bag of Marbles

Contact us at [url=mailto:ptierneyfife@edc.org]ptierneyfife@edc.org[/url] if this resource should be updated, or with questions or suggestions. We appreciate your help maintaining the quality of this resource.
– EDC in Maine

3.2.

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3.3.

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3.4.

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4.

Probability Distributions

  • 1. Normal Curve Demonstration
  • 2. Binomial Distribution with Normal Approximation
  • 3. Student-t vs. Z

4.1.

Normal Curve Demonstration

Drag the sliders to see how changing the mean and standard deviation changes the normal curve.
– George Sturr

4.2.

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4.3.

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5.

Randomizers

  • 1. Playing Card Dealer
  • 2. Create Random Integer Lists
  • 3. Spinner
  • 4. Non-transitive Spinners
  • 5. Flipping 5 Coins

5.1.

Playing Card Dealer

Click to get a random hand of cards from a shuffled deck of 52 standard playing cards.
– George Sturr

5.2.

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5.3.

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5.4.

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5.5.

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6.

Other

  • 1. Chaos Game

6.1.

Chaos Game

Creates an image based on the Chaos Game [url=http://en.wikipedia.org/wiki/Chaos_game]wikipedia[/url] [url=http://mathworld.wolfram.com/ChaosGame.html]Wolfram[/url][br]It takes a random point in the polygon and then translates it by a fixed fraction of the distance to one of the vertices chosen at random. This iteration is repeated.[br]Sides gives the number of sides in the polygon[br]Points is the number of points per iteration[br]Fraction sets the fraction[br]Speed adjusts the animation speed[br]The default settings produce the Sierpinski Triangle
Chaos Game
– slik

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