Question

In order to be listed on the math Honor Roll, students must have an average (arithmetic mean) grade of 85 or higher. The math grades for several students are shown below. Which students should be listed on the Honor Roll? Choose all that are correct.


Aliyah: 80, 80, 85, 86, 86


Ben: 95, 80, 100, 85, 90


Christianne: 60, 100, 100, 70, 100


Dakota: 90, 87, 89, 93, 91


Elijah: 70, 75, 85, 85, 85

Answer 1

To determine which students should be listed on the math Honor Roll, we need to calculate the average (arithmetic mean) of their grades. The average is calculated by adding the grades and then dividing by the number of grades.

Let's calculate the average for each student:

**Aliyah:**
Grades: 80, 80, 85, 86, 86
Sum = 80 + 80 + 85 + 86 + 86 = 417
Average = 417 / 5 = 83.4

**Ben:**
Grades: 95, 80, 100, 85, 90
Sum = 95 + 80 + 100 + 85 + 90 = 450
Average = 450 / 5 = 90.0

**Christianne:**
Grades: 60, 100, 100, 70, 100
Sum = 60 + 100 + 100 + 70 + 100 = 430
Average = 430 / 5 = 86.0

**Dakota:**
Grades: 90, 87, 89, 93, 91
Sum = 90 + 87 + 89 + 93 + 91 = 450
Average = 450 / 5 = 90.0

**Elijah:**
Grades: 70, 75, 85, 85, 85
Sum = 70 + 75 + 85 + 85 + 85 = 400
Average = 400 / 5 = 80.0

Now, let's see which students have an average of 85 or higher:

- Aliyah: 83.4 (not on Honor Roll)
- Ben: 90.0 (on Honor Roll)
- Christianne: 86.0 (on Honor Roll)
- Dakota: 90.0 (on Honor Roll)
- Elijah: 80.0 (not on Honor Roll)

The students who should be listed on the Honor Roll are:

- Ben
- Christianne
- Dakota