For Exercises 69–73, refer to Table 9, which lists the top five mass market paperback fiction books for the week of July 1, 2014, as reported by the New York Times.

Table 3.32: Table 9 Top five best-sellers in paperback trade fiction
Rank Title Author Price
1 A Game of Thrones George R. R. Martin $7.83
2 Takedown Twenty Janet Evanovich $7.64
3 Inferno Dan Brown $8.48
4 A Dance with Dragons George R. R. Martin $6.71
5 The 9th Girl Tami Hoag $8.47

Question 3.71

71. Linear transformations. Multiply the price of each book by 5.

  1. Now find the mean of these new prices.
  2. How does this new mean relate to the original mean?
  3. Construct a rule to describe this situation in general.

3.1.71

(a) $39.13 (b) The new mean is 5 times the original mean. (c) If each value of a data set is multiplied by a number , the mean of the resulting data set will be the mean of the original data set times .