On a certain exam, Tony corrected
10 papers and found the mean for his group to be
80. Alice corrected the remaining
50 papers and found that the mean for her group was
90. What is the mean of the combined group of
60 students?
divide total points by total students:
(10*80 + 50*90)/60 = ____
Well, based on the scores of Tony's group and Alice's group, it seems like Alice's students must have been...err...more "mean" than Tony's. But anyway, let's get to the math.
Tony found a mean score of 80 for his group of 10 students. That means, on average, his students scored 80.
Alice found a mean score of 90 for her group of 50 students. So, on average, her students scored 90.
To find the mean of the combined group of 60 students, we can take the sum of all the scores and divide it by the total number of students.
For Tony's group:
Total score = 10 students * 80 = 800
For Alice's group:
Total score = 50 students * 90 = 4500
For the combined group:
Total score = 800 + 4500 = 5300
Total number of students = 60
Mean = Total score / Total number of students
Mean = 5300 / 60
Mean ≈ 88.33
So, the mean of the combined group of 60 students is approximately 88.33.
To find the mean of the combined group of 60 students, we can use the formula for calculating the mean:
Mean = (Sum of all values) / (Number of values)
First, let's calculate the sum of all the values. Tony corrected 10 papers, and the mean for his group was 80:
Sum of Tony's group = 10 * 80 = 800
Alice corrected 50 papers, and the mean for her group was 90:
Sum of Alice's group = 50 * 90 = 4500
Now, let's find the sum of all the papers corrected:
Total sum = Sum of Tony's group + Sum of Alice's group
= 800 + 4500
= 5300
Finally, we can find the mean of the combined group:
Mean = Total sum / Number of students
= 5300 / 60
= 88.33 (rounded to two decimal places)
Therefore, the mean of the combined group of 60 students is approximately 88.33.
To find the mean of the combined group of 60 students, we need to calculate the total sum of all the scores for the 60 students and then divide it by 60.
We are given that Tony corrected 10 papers and found the mean for his group to be 80. This means that the sum of all the scores in his group is (10 * 80) = 800.
Next, we are told that Alice corrected the remaining 50 papers and found that the mean for her group was 90. This means that the sum of all the scores in her group is (50 * 90) = 4500.
To find the combined mean for the 60 students, we need to calculate the total sum of all the scores. Adding the sum of Tony's group and Alice's group together, we get a total sum of (800 + 4500) = 5300.
Finally, to find the mean of the combined group, we divide the total sum (5300) by the total number of students (60).
Mean = (Total sum) / (Total number of students)
Mean = 5300 / 60
Mean ≈ 88.33
Therefore, the mean of the combined group of 60 students is approximately 88.33.