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

Question

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?

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.

Answer 1

To find the range of each student’s math quiz scores, we calculate the difference between the highest and lowest scores for each student.

Student 1's 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

Student 2's 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 summarize the findings:

• 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, a smaller range indicates more consistency, as the scores are closer together. Since Student 1 has a range of 17 and Student 2 has a range of 21:

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