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Elementary School
- Grades
4,
5,
6
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P=Project E=Experiment
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A statistical estimation of the No. of headwords in a dictionary and the size of your vocabulary.
[E]
Prove whether or not the birthday paradox holds true by looking at random groups of 23 or more people.
[E]
Determine what happens when a test with two equally-likely outcomes is performed only a small number of times.
[E]
Estimate the number of beans in small, medium, and large populations to test if estimates are more accurate for small or large populations.
[E]
Test if the probability of drawing a particular card from a deck depends upon the number of that type of card in the deck.
[E]
Determine if the shape of a die affects the fairness of the roll.
[E]
The Effect of Number of Sides on the Fairness of a Die (Dice)
[E]
Determine if flipping a coin is truly random.
[E]
Determine if odds-makers' predictions about sporting events ere accurate.
[E]
How many times do you have to drop ten quarters, while re-dropping all the ones that land on heads until you get all tails?
[E]
An unbiased college football division 1A ranking system
[E]
Do traffic signals decrease the amount of auto accidents?
[E]
How accurately the egg producers measure their eggs?
[P]
[P]
Making estimations in measurement
[E]
Have popular books changed to use simpler language over the past century?
[E]
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Middle/High School - Grades 7-12
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P=Project E=Experiment
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Study the basic theory of combinatorial games using the game of Nim as an example
[P]
Semantic Image Retrieval: Learning Gaussian Mixture Models of Semantic Concepts using Expectation-Maximization
[E]
A simple statistical analysis of the frequency of colors of M&M's in a bag
[E]
A Probability Problem with Theoretical Solution and Monte Carlo Simulations
[E]
Study the variants of the Josephus Problem and properties of the graphs produced by these variants.
[P]
Prove the best strategy for playing Hi-Lo using basic probability.
[E]
Test the probabilities of rolling certain combinations of dice in roll-playing games.
[E]
The Chances of Guessing Correctly on a Multiple Choice Exam
[P]
[P]
See if the lottery numbers are predictable.
[E]
Determine if the Monty Hall Theory, created by Marilyn vos Savont, is mathematically correct.
[E]
The Randomness of Card Shuffling: Manual vs. Automatic
[E]
Can a Computer Generate Random Numbers Accurately?
[E]
Determine if it is reasonable in Blackjack to act differently with a 2-card 16 than with a 3-card 16 against a dealers 10
[E]
Determine whether a particular area surveyed statistically represents the slightly larger area surrounding it.
[E]
Determine if the probability of picking the right object is better by switching your initial choice with a variant of the shell game, where one choice that is for sure wrong is removed by the person in charge and shown to you after you make your first guess.
[E]
Do Random Number Generators Follow Benford's Law?
[E]
Determine whether multiplication, exponentiation, or addition will force a set of random numbers [0,1] to conform to Benford's Law.
[E]
How large a survey sample must be to get an accurate representation of a whole population?
[E]
[E]
Pascal like Triangle, Sierpinski like Gaskets and Fibonacci like Sequences.
[P]
What would happen with the use of different base numbers in a Debruijn Sequence?
[E]
A pattern of numbers that involve radicals and Pascal's triangle.
[E]
A Comparison of transect and radial sampling methods
[E]
Comparing methods of biostatistical sampling
[E]
Is there a correlation between money spent on middle school students and their performance in high school?
[E]
Determine if the use of a Gaussian probability device actually follows a repeatable, predictable model of a bell curve.
[E]
Streaks in baseball: A matter of chance?
[E]
Which method of bioassay, radial sampling or transect-line sampling, will prove to be a more accurate representation of the whole population sampled.
[E]
Can people choose truly random numbers?
[E]
Discover if the normal curve applies to sets of large data.
[E]
How do the dimensions of a baseball stadium affect batting statistics.
[E]
Is there such a thing as streakiness in baseball?
[E]
Predictive Analysis using Linear Regression
[E]
The validity of Benford's Law and how it can be applied in real life situations.
[E]
Test Benford's Law and Zipf's Law, to see if they actually work.
[E]
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Useful Links
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R=Resource
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Science Fair Projects Resources
[R]
Mathematics Resources
[R]
Citation Guides, Style Manuals, Reference
[R]
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