On a quiz worth 5 points, four students earned a 5, seven students earned a 4, six students earned a 3, two students earned a 2, and one student earned a zero. Find the average score. (round to one decimal place)
total scores = 4(5) + 7(4) + 6(3) + 2(2) + 0
= 70
number of student = 20
Average score = 70/20= 3.5
To find the average score, we need to calculate the sum of all the scores and then divide it by the total number of students.
The number of students who earned a 5 is 4, and the score they earned is 5, so the total score for the students who earned a 5 is 4 x 5 = 20.
The number of students who earned a 4 is 7, and the score they earned is 4, so the total score for the students who earned a 4 is 7 x 4 = 28.
The number of students who earned a 3 is 6, and the score they earned is 3, so the total score for the students who earned a 3 is 6 x 3 = 18.
The number of students who earned a 2 is 2, and the score they earned is 2, so the total score for the students who earned a 2 is 2 x 2 = 4.
The number of students who earned a 0 is 1, and the score they earned is 0, so the total score for the student who earned a 0 is 1 x 0 = 0.
To find the average score, we need to add up all the individual scores: 20 + 28 + 18 + 4 + 0 = 70.
Now, let's calculate the total number of students: 4 + 7 + 6 + 2 + 1 = 20.
To find the average score, we divide the total score (70) by the total number of students (20): 70 / 20 = 3.5.
Therefore, the average score is 3.5 (rounded to one decimal place).
To find the average score, we need to sum up the scores of all the students and then divide by the total number of students. Here's how we can do it:
1. Multiply the number of students who earned each score by the respective score, and then sum up these products:
- Four students earned a 5: 4 * 5 = 20
- Seven students earned a 4: 7 * 4 = 28
- Six students earned a 3: 6 * 3 = 18
- Two students earned a 2: 2 * 2 = 4
- One student earned a zero: 0 * 1 = 0
2. Count the total number of students:
- Four students earned a 5
- Seven students earned a 4
- Six students earned a 3
- Two students earned a 2
- One student earned a zero
Total number of students = 4 + 7 + 6 + 2 + 1 = 20
3. Divide the sum of the scores by the total number of students:
Sum of scores = 20 + 28 + 18 + 4 + 0 = 70
Average score = Sum of scores / Total number of students
= 70 / 20
= 3.5
Therefore, the average score is 3.5.