Thirty-two students took a 50-item Biology test. The average score obtained is 42. The next day, three students who were absent took the test and obtained 35, 39 and 43. What is the average score of the 35 students?
Mean = Sum of scores/number of scores
42 = Sum of scores/32
Solve for sum.
mean = (Sum+35+39=43)/35
I'll let you do the calculations.
Thirty-two students took a 50-item science test.The average score obtained is 42.The next day,three students who were absent took the test and obtained the scores of 35,39 and 31.What is the average score for the whole class of 35 students?
Pls show the solution
To find the average score of the 35 students, we need to calculate the total score of all the students and divide it by the total number of students.
First, let's find the total score of the 32 students who initially took the test. We know that the average score obtained by these 32 students is 42. Since the average is calculated by dividing the total score by the number of students, we can calculate the total score of the 32 students by multiplying the average score (42) by the number of students (32):
Total score of 32 students = Average score × Number of students
Total score of 32 students = 42 × 32 = 1,344
Next, let's find the total score of the additional 3 students who took the test the next day. The scores obtained by these students are 35, 39, and 43. We simply add these scores together to find the total score of the 3 students:
Total score of 3 students = 35 + 39 + 43 = 117
Now, we can find the average score of the 35 students (32 initial students + 3 additional students) by adding the total score of all the students (32 students + 3 students) and dividing it by the total number of students:
Average score of 35 students = (Total score of 32 students + Total score of 3 students) ÷ Total number of students
Average score of 35 students = (1,344 + 117) ÷ 35 ≈ 40.89 (rounded to the nearest hundredth)
Therefore, the average score of the 35 students is approximately 40.89.