From crime figures to health scares, election polls to stock market forecasts, numbers make the news all the time. But are they accurate? John Allen Paulos, travels through the pages of an average newspaper, revealing how mathematics is at the heart of the articles we read everyday - even horoscopes and the sports pages - and how often they mislead us. By understanding simple concepts such as probability, chaos theory and game theory, you'll be able to see through faulty statistics, stock market forecasters and conspiracy theorists - and make the figures truly add up.
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The Top 10 list has become a staple of newspapers, television, and magazines for a variety of reasons, the top ten being:
1. Ten is a common and familiar number, the base of our number system. Numbers are rounded to 10 or to multiples of ten or tenths. The resulting distortion, of course, need not have much to do with reality. We're told, for example, that we use 10 percent of our brain power, that 10 percent of us consume 90 percent of the world's resources, and that decades define us. (Is there anything more vapid than explanation by decade? In the free love, antiwar sixties, hippies felt so and so; the greed of the eighties led yuppies to do such and such; sullen and unread Generation Xers never do anything.)
2. People like information to be encapsulated; they're impatient with long, discursive explanations. They want the bare facts, and they want them now.
3. The list is consistent with a linear approach to problems. Nothing is complex or convoluted; every factor can be ranked. If we do a, b, or c, then x, y, or z will happen. Proportionality reigns.
4. It's a kind of ritual. Numbers are often associated with rites, and this is a perfect example.
5. It has biblical resonance, the Ten Commandments being one of its first instances. Others are the ten plagues on the Egyptians, the ten days between Rosh Hashanah and Yom Kippur, the requirement that at least ten men be present for public prayer, and Joseph's ten brothers.
6. The list can be a complete story. It has a beginning: 1, 2, 3; a middle: 4, 5, 6, 7; and an end, 8, 9, 10. Many stories in the news are disconnected; the list is unitary.
7. It's easy to write; there is no need to come up with transitions. Or even complete sentences. The same holds for the 10, 50, and 100 years ago today fillers.
8. It's flexible and capable of handling any subject. Since there are never any clear criteria for what constitutes an entry on such a list, items on short lists can easily be split, and those on long lists can just as easily be combined.
9. Lists are widely read (or heard) and talked about, but don't require much room in the paper or much airtime.
10. People realize it's an artificial form and like to see if it's going to run out of good points before it gets to 10.
John Allen Paulos is professor of mathematics at Temple University in Philadelphia. He is author of several books, including the bestseller Innumeracy which was a New York Times bestseller for 18 weeks and A Mathematician Plays the Market. He has appeared on many television and radio shows in the United States and has contributed articles to the Wall Street Journal, the New York Times and the London Review of Books. In 2003, Paulos won the American Association for the Advancement of Science award for promoting public understanding of science.
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