Mathematics
Average / Arithmetic Mean
In a class, 19 students have an average of 46 and another 10 students have an average of 57. What is the class average?
A. 49.79
B. 50.79
C. 48.79
D. 51.79
Correct Answer: A
Combined mean = (19×46+10×57)/29 = 49.79.
Mathematics
Average / Arithmetic Mean
In a class, 18 students have an average of 45 and another 16 students have an average of 56. What is the class average?
A. 52.18
B. 49.18
C. 50.18
D. 51.18
Correct Answer: C
Combined mean = (18×45+16×56)/34 = 50.18.
Mathematics
Average / Arithmetic Mean
In a class, 17 students have an average of 50 and another 15 students have an average of 55. What is the class average?
A. 51.34
B. 53.34
C. 52.34
D. 54.34
Correct Answer: C
Combined mean = (17×50+15×55)/32 = 52.34.
Mathematics
Average / Arithmetic Mean
In a class, 16 students have an average of 49 and another 14 students have an average of 59. What is the class average?
A. 54.67
B. 52.67
C. 55.67
D. 53.67
Correct Answer: D
Combined mean = (16×49+14×59)/30 = 53.67.
Mathematics
Average / Arithmetic Mean
In a class, 15 students have an average of 48 and another 13 students have an average of 58. What is the class average?
A. 54.64
B. 51.64
C. 53.64
D. 52.64
Correct Answer: D
Combined mean = (15×48+13×58)/28 = 52.64.
Mathematics
Average / Arithmetic Mean
In a class, 14 students have an average of 47 and another 12 students have an average of 57. What is the class average?
A. 52.62
B. 51.62
C. 53.62
D. 50.62
Correct Answer: B
Combined mean = (14×47+12×57)/26 = 51.62.
Mathematics
Average / Arithmetic Mean
In a class, 13 students have an average of 46 and another 11 students have an average of 56. What is the class average?
A. 52.58
B. 51.58
C. 49.58
D. 50.58
Correct Answer: D
Combined mean = (13×46+11×56)/24 = 50.58.
Mathematics
Average / Arithmetic Mean
In a class, 12 students have an average of 45 and another 10 students have an average of 55. What is the class average?
A. 48.55
B. 49.55
C. 50.55
D. 51.55
Correct Answer: B
Combined mean = (12×45+10×55)/22 = 49.55.
Mathematics
Average / Arithmetic Mean
The mean of 14 scores is 58. If the score 82 is excluded, what is the mean of the remaining scores?
A. 55.15
B. 56.15
C. 58.15
D. 57.15
Correct Answer: B
Remaining mean = (14×58−82)/13 = 56.15.
Mathematics
Average / Arithmetic Mean
The mean of 13 scores is 56. If the score 79 is excluded, what is the mean of the remaining scores?
A. 53.08
B. 56.08
C. 55.08
D. 54.08
Correct Answer: D
Remaining mean = (13×56−79)/12 = 54.08.
Mathematics
Average / Arithmetic Mean
The mean of 12 scores is 54. If the score 76 is excluded, what is the mean of the remaining scores?
A. 51
B. 53
C. 54
D. 52
Correct Answer: D
Remaining mean = (12×54−76)/11 = 52.
Mathematics
Average / Arithmetic Mean
The mean of 11 scores is 52. If the score 73 is excluded, what is the mean of the remaining scores?
A. 49.9
B. 51.9
C. 50.9
D. 48.9
Correct Answer: A
Remaining mean = (11×52−73)/10 = 49.9.
Mathematics
Average / Arithmetic Mean
The mean of 10 scores is 50. If the score 70 is excluded, what is the mean of the remaining scores?
A. 48.78
B. 49.78
C. 46.78
D. 47.78
Correct Answer: D
Remaining mean = (10×50−70)/9 = 47.78.
Mathematics
Average / Arithmetic Mean
In a dataset of 24 values with mean 44, one observation is revised upward by 18. What is the revised mean?
A. 43.75
B. 45.75
C. 46.75
D. 44.75
Correct Answer: D
Total rises by 18; mean rises by 18/24. Revised mean = 44.75.
Mathematics
Average / Arithmetic Mean
In a dataset of 23 values with mean 43, one observation is revised upward by 16. What is the revised mean?
A. 44.7
B. 43.7
C. 45.7
D. 42.7
Correct Answer: B
Total rises by 16; mean rises by 16/23. Revised mean = 43.7.
Mathematics
Average / Arithmetic Mean
In a dataset of 22 values with mean 42, one observation is revised upward by 14. What is the revised mean?
A. 43.64
B. 41.64
C. 42.64
D. 44.64
Correct Answer: C
Total rises by 14; mean rises by 14/22. Revised mean = 42.64.
Mathematics
Average / Arithmetic Mean
In a dataset of 21 values with mean 41, one observation is revised upward by 12. What is the revised mean?
A. 41.57
B. 42.57
C. 43.57
D. 40.57
Correct Answer: A
Total rises by 12; mean rises by 12/21. Revised mean = 41.57.
Mathematics
Average / Arithmetic Mean
In a dataset of 20 values with mean 40, one observation is revised upward by 10. What is the revised mean?
A. 41.5
B. 39.5
C. 42.5
D. 40.5
Correct Answer: D
Total rises by 10; mean rises by 10/20. Revised mean = 40.5.
Mathematics
Average / Arithmetic Mean
In a dataset of 19 values with mean 39, one observation is revised upward by 18. What is the revised mean?
A. 41.95
B. 39.95
C. 38.95
D. 40.95
Correct Answer: B
Total rises by 18; mean rises by 18/19. Revised mean = 39.95.
Mathematics
Average / Arithmetic Mean
In a dataset of 18 values with mean 38, one observation is revised upward by 16. What is the revised mean?
A. 40.89
B. 39.89
C. 37.89
D. 38.89
Correct Answer: D
Total rises by 16; mean rises by 16/18. Revised mean = 38.89.