2018 AMC 8

Complete problem set with solutions and individual problem pages

Problem 8 Easy

Mr. Garcia asked the members of his health class how many days last week they exercised for at least 30 minutes. The results are summarized in the following bar graph, where the heights of the bars represent the number of students.

What was the mean number of days of exercise last week, rounded to the nearest hundredth, reported by the students in Mr. Garcia's class?

  • A.

    3.50

  • B.

    3.57

  • C.

    4.36

  • D.

    4.50

  • E.

    5.00

Answer:C

The mean, or average number of days is the total number of days divided by the total number of students. The total number of days is 1\cdot 1+2\cdot 3+3\cdot 2+4\cdot 6+5\cdot 8+6\cdot 3+7\cdot 2=109. The total number of students is 1+3+2+6+8+3+2=25. Hence, \frac{109}{25}=\boxed{\textbf{(C) } 4.36}.

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