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Question 1

  • Use inductive reasoning to conjecture the rule that relates the number you selected to the final answer.

Try to prove your conjecture using deductive reasoning.

Select a number:

Multiply by 4:

Subtract 12 from the answer:

Divide by 4:

Subtract the original number:

Question 2

Forty new automobiles were tested for fuel efficiency by the Environmental Protection Agency (in miles per gallon). The individual values and a frequency distribution are displayed below.

27 22 22 32 16 28 25 35 25 19 32

23 35 26 29 24 24 12 33 34 25 29

14 21 27 19 30 23 26 29 19 24 30

18 37 24 13 26 28 20

Class Frequency

8-12 1

13-17 3

18-22 8

23-27 14

28-32 9

33-37 5

Find the median, mode, and midrange of the data set.

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