On a certain exam, Charles corrected 12 papers and found the mean for his group to be 76 . Beth corrected the remaining 19 papers and found that the mean for her group was 51 . What is the mean of the combined group of students, rounded to the nearest whole number?
A) 51
B) 76
C) 66
D) 61
E) 64

Question

On a certain exam, Charles corrected 12 papers and found the mean for his group to be 76 . Beth corrected the remaining 19 papers and found that the mean for her group was 51 . What is the mean of the combined group of students, rounded to the nearest whole number? ​
A) 51
B) 76
C) 66
D) 61
E) 64

Quizplus · Accepted Answer

To find the mean of the combined group, calculate the total points for both groups and divide by the total number of papers. For Charles: 12 papers * 76 points = 912 points. For Beth: 19 papers * 51 points = 969 points. Combined: 912 + 969 = 1881 points for 31 papers. Mean = 1881 / 31 ≈ 61.

On a Certain Exam, Charles Corrected 12 Papers and Found