An author has written 15 childrens books. The first eight books that she wrote contained between 240

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An author has written 15 children’s books. The first eight books that she wrote contained between 240 and 250 pages each. The next six books contained between 180 and 190 pages each. Correct to 1 decimal place, the standard deviation of the number of pages in the 15 books together is 31.2.

Show that it is not possible to determine a specific calculated estimate of the number of pages in the author’s 15th book.

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