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Phantom Tollbooth Analysis

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Phantom Tollbooth Analysis
Common Core Math I Homework
Measures of Center: Mean
The Phantom Tollbooth is a children's fantasy adventure novel published in 1961. It was written by Norton Juster and illustrated by Jules Feiffer. It tells the story of a bored young boy named Milo who unexpectedly receives a magic miniature tollbooth one afternoon and, having nothing better to do, decides to drive through it in his toy car. The tollbooth transports him to a land called the Kingdom of Wisdom. There he acquires two faithful companions, has many adventures, and goes on a quest to rescue the princesses of the kingdom from the castle of air, Princess Rhyme and Princess Reason. The text is full of puns, and many events, such as Milo's jump to the Island of Conclusions, exemplify literal meanings of English language idioms.1
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2) Explain what it means to have an average of 2.58 children in each family.
3) The Phantom Tollbooth was published in 1961. According to US Census data, the average number of children per family in 2000 was 1.86 and in 2010 was 0.94. What factors have contributed to this decline?
4) What does Milo mean when he says “But averages aren’t real, they’re just imaginary”?
5) How does .58 of a child use the idea of fair shares to explain the mean?
6) Is .58 of a child correct in the following explanation? Explain why or why not.
“Well, think how much better off you’d be, just because of averages,” he explained convincingly. “And think of the poor farmer when it doesn’t rain all year: if there wasn’t an average yearly rainfall of 37 inches in this part of the country, all his crops would wither and die.”
7) Find an example in the newspaper or online of an average. Describe what the average means in context.
8) Using salary information from the Wacky Widget Company, answer the questions below.
Job
Number of Employees
Annual Salary

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