Question: In an effort to learn the most common weights that people send long distance, a couriercompany records the weights (in pounds) of several randomly items

In an effort to learn the most common weights that people send long distance, a couriercompany records the weights (in pounds) of several randomly items recently shipped over 300 miles. These values are summarized in the frequency table givenbelow.

Lower Class Limits Upper Class Limits Frequency

2.3

5.8

5

5.9

9.4

1

9.5

13.0

3

13.1

16.6

4

The courier company examines the table and notices that there are many people sending large and small packages, but not very many sending medium sized packages. In an effort to encourage people to send medium-sized packages, they would like to offer a discount. Specifically, the company makes the following identifications:

  • Asmallpackage is one that weighs less than 5.9 pounds,
  • Amediumpackage is one that weighs at least 5.9 but less than 13.1 pounds, and
  • Alargepackage is one that weighs at least 13.1 pounds.

They would like to offer a $5 discount for sending medium sized packages. If they offered this discount on the packages found in the frequency table, how much total discount would they have given?

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