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What Happened...Something's Wrong!

(9.) On a certain day in the American League baseball season, the Yankees had won 29 games and lost 15. Find the per cent of the games played that they had won?...

(10.) On the same day, the Detroit Tigers had won 27 games and lost 14. How many per cent of the games played had they won? Find this to the nearest 1%.

(11.) On the day of the two preceding problems, which of these two teams was ahead?

(12.) After this date, the Yankees won 9 games and lost 3. Then what per cent of the games played had they won?

(13.) After the same date, the Tigers also won 9 games and lost 3. What per cent of the games played had they won then?

(14.) On the day of problems 12 and 13, which of the teams was ahead? Find the per cent in problems 12 and 13, to the number of decimals necessary to answer this question.

(15.) How do you explain how these teams could change the order of their standing while winning and losing the same number of games?


My Side Note: These problems illustrate Simpson's Paradox, an unusal topic to be included in such a "practical" text for ninth-graders.

Solution:

Source: N.J. Lennes' Practical Mathematics, 1936, p. 61