The average score on a reading test for 58 students was 87.3. Twelve more students took the test. The average of the 12 students was 90.7. What was the average for all students?
58 * 87.3 = 5063.4
12 * 90.7 = 1088.4
5063.4 + 1088.4 = 6,151.8
6,151.8 / 70 = 87.9
To find the average score for all students, we can calculate the total sum of their scores and divide it by the total number of students.
Step 1: Find the total sum of scores for the initial 58 students.
Total sum of scores = Average score * Number of students
= 87.3 * 58
Step 2: Find the total sum of scores for the additional 12 students.
Total sum of scores = Average score * Number of students
= 90.7 * 12
Step 3: Add the two total sums of scores together.
Total sum of scores for all students = Sum of scores for initial 58 students + Sum of scores for additional 12 students
Step 4: Find the total number of students.
Total number of students = Total number of initial students + Total number of additional students
Step 5: Calculate the average score for all students.
Average score for all students = Total sum of scores for all students / Total number of students
Let's calculate it.
Step 1: Total sum of scores for the initial 58 students
Total sum of scores = 87.3 * 58 = 5063.4
Step 2: Total sum of scores for the additional 12 students
Total sum of scores = 90.7 * 12 = 1088.4
Step 3: Total sum of scores for all students
Total sum of scores for all students = 5063.4 + 1088.4 = 6151.8
Step 4: Total number of students
Total number of students = 58 + 12 = 70
Step 5: Average score for all students
Average score for all students = 6151.8 / 70
Therefore, the average score for all students is approximately 87.883.
To find the average for all students, you need to calculate the total score of all students after the additional 12 students took the test, and then divide that total score by the total number of students.
First, calculate the total score of the initial 58 students.
Total score of the initial 58 students = average score * number of students
Total score of the initial 58 students = 87.3 * 58
Next, calculate the total score of the additional 12 students.
Total score of the additional 12 students = average score * number of students
Total score of the additional 12 students = 90.7 * 12
Now, find the total score of all students.
Total score of all students = Total score of the initial 58 students + Total score of the additional 12 students
Finally, calculate the average for all students.
Average for all students = Total score of all students / Total number of students
By performing these calculations, you'll find the average score for all students.