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Here are the math quiz scores for Student 1 and Student 2. 

This table presents the math quiz scores of Student 1 and Student 2 over multiple assessments.
Student 1: 75 80 84 79 92 86 88 86 86 90
Student 2 83 85 91 93 72 85 76 80 82 89
Find the range of each student’s math quiz scores. Based on the range, which student performed more consistently on their math quizzes?

(2 points)
The range of Student 1’s math quiz scores is ______. The range of Student 2’s math quiz scores is _______ . Based on the range, Student _______ performed more consistently on the math quizzes.

1 answer

To find the range of each student's math quiz scores, we need to subtract the lowest score from the highest score for each student.

For Student 1:

  • Scores: 75, 80, 84, 79, 92, 86, 88, 86, 86, 90
  • Highest score: 92
  • Lowest score: 75
  • Range = Highest score - Lowest score = 92 - 75 = 17

For Student 2:

  • Scores: 83, 85, 91, 93, 72, 85, 76, 80, 82, 89
  • Highest score: 93
  • Lowest score: 72
  • Range = Highest score - Lowest score = 93 - 72 = 21

Now, we can summarize the results:

  • The range of Student 1’s math quiz scores is 17.
  • The range of Student 2’s math quiz scores is 21.

Conclusion: The student with the smaller range performed more consistently on their math quizzes. Since Student 1 has a range of 17, which is smaller than Student 2's range of 21, we can conclude that:

Based on the range, Student 1 performed more consistently on the math quizzes.

Final statement: The range of Student 1’s math quiz scores is 17. The range of Student 2’s math quiz scores is 21. Based on the range, Student 1 performed more consistently on the math quizzes.