TAG: Statistics
May 26, 2011–

Today we released the new Wolfram Statistics Course Assistant App for the iPhone, iPod touch, and iPad. If you are a student of introductory statistics, the probability that you’ll love the all-new Wolfram Statistics Course Assistant is pretty high! The app will help you better understand concepts such as mean, median, mode, standard deviation, probabilities, data points, random integers, random real numbers, and more.

Learning about the normal or binomial distribution? This app will show you the probability density function as well as the cumulative density function and other information.
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September 2, 2010–

A new school year is here, and many students are diving into new levels of math. Fortunately, this year, you have Wolfram|Alpha to help you work through math problems and understand new concepts. Wolfram|Alpha contains information from the most basic math problems to advanced and even research-level mathematics. If you are not yet aware of Wolfram|Alpha’s math capabilities, you are about to have a “wow” moment. For the Wolfram|Alpha veterans, we have added many math features since the end of the last school year. In this post, we’re highlighting some existing Wolfram|Alpha math essentials, such as adding fractions, solving equations, statistics, and examples from new topics areas like cusps and corners, stationary points, asymptotes, and geometry.

You can access the computational power of Wolfram|Alpha through the free website, via Wolfram|Alpha Widgets, with the Wolfram|Alpha App for iPhone, iPod touch, and the iPad! Even better, the Wolfram|Alpha Apps for iPhone, and iPod touch, and the iPad are now on sale in the App Store for \$0.99 though September 12.

If you need to brush up on adding fractions, solving equations, or finding a derivative, Wolfram|Alpha is the place to go. Wolfram|Alpha not only has the ability to find the solutions to these math problems, but also to show one way of reaching the solution with the “Show Steps” button. Check out the post “Step-by-Step Math” for more on this feature.

You can find this widget, and many others, in the Wolfram|Alpha Widget Gallery. Customize or build your own to help you work through common math problems. Then add these widgets to your website or blog, and share them with friends on Facebook and other social networks.

Of course, Wolfram|Alpha also covers statistics and probability. For example, Wolfram|Alpha can compute coin tossing probabilities such as “probability of 21 coin tosses“, and provides information on normal distribution: More »

March 26, 2010–

Exciting new math features have arrived in Wolfram|Alpha! Our programmers have spent the past two months developing new capabilities in optimization, probability, number theory, and a host of other mathematical disciplines. Searching for elusive extrema? Look no further! Just feed your function(s) into Wolfram|Alpha and ask for their maxima, minima, or both. You can find global maxima and minima, optimize a function subject to constraints, or simply hunt for local extrema.

We’ve also added support for a wide variety of combinatorics and probability queries. Counting combinations and generating binomial coefficients has been simplified with syntax like 30 choose 18. Want to spend less time crunching numbers and more time practicing your poker face? You can ask directly for the probability of a full house or other common hands, as well as the probabilities of various outcomes when you play Powerball, roll two 12-sided dice, or repeat any sequence of trials with a 20% chance 4 times.

The pursuit of primes has never been so simple. Imagine yourself walking the streets of an infinite city in search of “prime real estate.” You can find the nearest one simply by requesting (for example) the prime closest to 100854; alternatively, you could scope out the entire neighborhood by asking Wolfram|Alpha to list primes between 100,000 and 101,000. Would you prefer the greatest prime number with 10 digits, or will you be satisfied with any random prime between 100,000,000 and 200,000,000? The aspiring real estate agent—er, number theoretician—can also tinker with quantities like the sum of the first hundred primes or the product of primes between 900 and 1000. If your explorations take you to the realm of the composites (the addresses of houses with “sub-prime” mortgages, perhaps), you can identify numbers with shared factors by querying Wolfram|Alpha for, say, multiples of 5, 17, 21.

Other additions have brought everything from Archimedes’ axiom to semiaxes and square pyramid syntax into our body of computable knowledge and functions. Wolfram|Alpha grows daily, so stay tuned to this blog for further updates. Better yet, apply to become a Wolfram|Alpha tester for privileged access to the newest features before they go public!

January 25, 2010–

New curated data flows into Wolfram|Alpha every day. One addition that we haven’t highlighted before is crime data from the U.S. Department of Justice Statistics, including historical information on crimes and crime rates for all 50 states and thousands of individual cities.

A simple query for “U.S. Crime” will return the nation’s overall crime rate (the number of crimes per 100,000 people) and details on individual categories of violent and property crimes.

But Wolfram|Alpha’s true strength shows when you perform more-advanced comparisons and computations. For example, try comparing the crime statistics for two cities, such as “Crime Seattle vs. New York”; you can see clearly that although crime rates have fallen gradually over the last fifteen years, Seattle’s crime rate has maintained a level around 2.5 times that of New York City. More »

December 21, 2009–

When we launched Wolfram|Alpha in May 2009, it already contained trillions of pieces of information—the result of nearly five years of sustained data-gathering, on top of more than two decades of formula and algorithm development in Mathematica. Since then, we’ve successfully released a new build of Wolfram|Alpha’s codebase each week, incorporating not only hundreds of minor behind-the-scenes enhancements and bug fixes, but also a steady stream of major new features and datasets.

We’ve highlighted some of these new additions in this blog, but many more have entered the system with little fanfare. As we near the end of 2009, we wanted to look back at seven months of new Wolfram|Alpha features and functionality.

November 5, 2009–

We’ve just returned from our visit to Busan, Korea for the 3rd Organisation for Economic Co-operation and Development (OECD) World Forum on Statistics, Knowledge and Policy. We had the pleasure of joining some 1500 people from over 130 countries to discuss this year’s theme, “Charting Progress, Building Visions, Improving Life.” Our visit was quite productive, with many interesting discussions with people from around the world on statistics, Wolfram|Alpha, and Mathematica. We are honored that our booth at the Forum’s International Exhibition received a Visitors’ Choice Award based on visitors’ and exhibitors’ votes.

Wolfram Alpha LLC’s long-term goal is to make all systematic knowledge immediately computable and accessible to everyone. We aim to collect and curate all objective data; implement every known model, method, and algorithm; make it possible to compute whatever can be computed about anything; and democratize access to knowledge. The Forum provided an opportunity to engage in very interesting conversations with people and organizations from many developing and developed countries who have traditionally struggled with capturing, managing, and most importantly disseminating accurate statistical information to their different stakeholders. More »

July 13, 2009–

Baseball is the great American pastime. We’re at the midpoint of the Major League Baseball season, and fans are gearing up for the 2009 Major League Baseball All-Star Game, which will be played on Tuesday, July 14, 2009 in Saint Louis, Missouri. For baseball fans, this “Midsummer Classic” embodies much of what there is to love about baseball: a night at the park, hot dogs and Cracker Jacks, and top players from American and National League teams all on one diamond. But what we at Wolfram|Alpha love about baseball are all of the fast statistics that can be quickly computed and returned as easy-to-read graphs.

Wolfram|Alpha contains statistics and history for Major League Baseball teams’ wins, losses, pitching and batting histories, and more, from 1960–2008. This information allows you to easily compute statistics for a single season, or graph a visual history over decades. More »

June 14, 2009–

One of the most popular Wolfram|Alpha features is the name directory. Whether you’re researching your own name or brainstorming baby names, the Wolfram|Alpha given name directory is a fun tool you can use to compare name popularity and statistics.

You can learn a lot about popular culture and history by tracking the popularity of given names. One historical example is the name Roosevelt, which celebrated two bursts of popularity, during the presidencies of Theodore Roosevelt and Franklin Delano Roosevelt.

Roosevelt name trends

To view a pop culture example, enter the names Farrah, Mallory, and Britney into Wolfram|Alpha. The charted results show how these names peaked at different times. Note that Farrah’s spike in the late 1970s occurs at the time of Fawcett’s Charlie’s Angels fame, Mallory’s spike in popularity appears when Family Ties debuted in 1982, and Britney’s second spike coincides with Spears’ first album release in 1999. The data often has larger implications than just name popularity; think of it as a visual representation of a generation’s cultural influences.

Female name trends from pop culture

The Wolfram|Alpha name database currently contains U.S. name data dating back to 1880, with international data to follow in the coming months. So whether you’re a parent seeking more information on baby names or are curious to find out more information on your own name, Wolfram|Alpha has the power to compute insightful results.