Educational Tools

Examples of Normal Distribution and Probability In Every Day Life

From coin flips to shoe sizes, the bell curve shows up everywhere around us.

The Sum of the Rolls of Two Die

What makes the sum of two die a binomial distribution? Is it a binomial distribution?

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Probability of Heads

This is a simulation of the probability you will get heads on a coin toss from one coin toss to 100.

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Histogram of the Birthweight of New Born Babies

Shows the distribution of birth weight in 3,226 newborn babies.

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Probability Distribution of the Number of Firing Neurons

Estimated probability distribution of the number of firing neurons under different temperatures.

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Average Height of NBA Players

Utlizing stats from NBA.com the mean average height of an NBA player is 6'7.

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Average Female Shoe Size

What is the average female shoe size based on total female shoe sales?

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2013 PSLE T-Score Simulation of 43047 Pupils

To determine the total T-score distribution, we need know the number of pupils, the average of total T-scores and the standard deviation std.

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Distribution of Blood Pressure

Distribution of blood pressure can be approximated as a normal distribution with mean 85 mm. and standard deviation 20 mm.

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Plinko Probability

Interactive Probability Simulation. PhET Interactive Simulations, University of Colorado Boulder, https://phet.colorado.edu. Licensing

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Average Number of Goals

Average number of goals Alex Ovechkin scored over an 82 game season playing for the Capitals.

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Average SAT Scores 2010

The distribution of combined scores for the Scholastic Aptitude Test (SAT) in 2010

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Distribution of Daily Returns of Random Stocks

Daily returns of random stocks over a certain period shows normal distribution aka the bell curve.

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Volume of Milk Production From Cows

Yes even the milk production in cows can have a normal distribution.

Presidential Elections and S&P 500 Returns

Average monthly returns after presidential election from 1926-2016. Republican vs Democrat vs non-election month.

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Polygenic Characteristics of Men and Women

Polygenic characteristics of men and women such as skin color and height have a bell-shaped distribution.

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Heights of Adult English Male Criminals

Do short men have a complex? This bell curve of the average height of criminals in the 1900s may answer that question.

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Distribution of Carrots & Cucumbers

Plot of two histograms together in R. Shows a bell curve of the average height of carrots and cucumbers.

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The Bell Curve of Mature Buck Antler Scores

Calculates results of deer per acre of 5000 acres with percentage of mature bucks and percentage of antler scores.

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Average Sum of Number of Dice Rolled

Shows the probability and bell curve of number of dice rolled, and what number you will roll most.

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Shifting Distribution of Summer Temperature

View shifting distributions of summer temperatures from 1951 thru 2011. Perception of climate change.

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Average NFL Player Retirement Age

Probability an NFL player will retire based on age over a 10 year period.

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Normal Distribution of Monthly Average Temperature Difference

Probability distribution of the natural variability in monthly temperature anomalies for Durham, North Carolina.

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Probability Distributions

The article linked to below covers Francis Galton's Bean Machine and the probability of distributions.

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