ISEE Word Problems Question 233: Answer and Explanation

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Question: 233

13. The graph shows the number of extra-credit assignments completed by the students in Mrs. Wallace's class last semester. The numbers on the horizontal axis represent the number of extra-credit assignments completed during the semester, and the height of the bar represents the number of students who completed this number of extra-credit assignments.

What is the mean number of extra-credit assignments completed over the semester?

  • A. 3.50
  • B. 4.00
  • C. 4.50
  • D. 4.75

Correct Answer: D

Explanation:

The answer is D

Calculate the mean by adding the number of extra credit assignments and dividing that result by the number of students. The bar graph shows that 6 students submitted 1 assignment, 7 students submitted 2, 6 students submitted 3, 6 students submitted 4, 3 students submitted 5, and 3 students submitted 6. The total number of assignments is therefore (6 × 1) + (7 × 2) + (6 × 3) + (6 × 4) + (3 × 5) + (3 × 6) = 95. As there is a total of 20 students, = 4.75.

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