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Exploration Ideas

All Algebra (11) Functions & Equations (26) Geometry & Trigonometry (71) Statistics & Probability (41) Calculus (20) Mathematical Modeling (5) Applied Mathematics (1) Graph Theory (9) 41 ideas Clear filters
Using Excel and Benford’s Law to detect fraud
Using Excel and Benford’s Law to detect fraud

Learn the formulas, functions, and techniques that enable efficient Benford analysis of …

Benford's Law Data Science +2
Measuring inequality: what is the Gini coefficient?
Measuring inequality: what is the Gini coefficient?

The Gini coefficient is a standard way of measuring inequality. This explores …

Statistics Economics +2
Are planes crashing more often?
Are planes crashing more often?

After a series of high-profile disasters, some social media users suggested that …

Probability Aviation Safety +2
Do Richer Countries Win More Olympic Medals?
Do Richer Countries Win More Olympic Medals?

Test whether a country's GDP predicts its Olympic medal count, using real …

Statistics Data Analysis +2
The Birthday Paradox
The Birthday Paradox

A classic, make it your own.

Combinatorics Statistics +2
How Many Packs to Finish the Sticker Album?
How Many Packs to Finish the Sticker Album?

Sticker albums, trading card packs and cereal box toys all mean repeatedly …

Probability Statistics +2
Why Your Positive Test Is Probably Wrong
Why Your Positive Test Is Probably Wrong

A positive result on a screening test sounds alarming, but with a …

Statistics Bayes Theorem +2
Predicting the Next Letter: Markov Chains and Autocomplete
Predicting the Next Letter: Markov Chains and Autocomplete

Your phone's keyboard predicts your next word from the last one or …

Probability Markov Chains +2
The Dice Man
The Dice Man

Make real decisions by dice roll for a month and use expected …

Probability Statistics +2
The Hot Hand: Do Basketball Players Get Streaky?
The Hot Hand: Do Basketball Players Get Streaky?

Commentators talk about a player 'being hot' after a run of makes, …

Probability Data Analysis +2
The Coupon Collector Problem
The Coupon Collector Problem

A long-established problem and a modern phenomenon.

Probability Combinatorics +1
The World Is Warming Up. And It’s Happening Faster.
The World Is Warming Up. And It’s Happening …

Human-caused global warming has been increasing faster and faster since the 1970s. …

Data Analysis Climate Science +2
Where Have All the Young Home Buyers Gone? Check the Stock Market
Where Have All the Young Home Buyers Gone? …

The rent vs. buy debate has taken on new meaning for Gen …

Statistics Correlation +2
Climate Change
Climate Change

Climate change: Sudden heat increase in seas around UK and Ireland

Statistics Data Analysis +2
Antarctic sea-ice at 'mind-blowing' low alarms experts
Antarctic sea-ice at 'mind-blowing' low alarms experts

The sea-ice surrounding Antarctica is well below any previous recorded winter level, …

Statistics Data Analysis +2
Deal or no Deal
Deal or no Deal

Deal or No Deal is one of the most commonly chosen exploration …

Probability Decision Making +2
Mathematics of Running Style
Mathematics of Running Style

Stride length and cadence change as runners speed up. This explores how, …

Optimization Data Analysis +2