Mathematics
Average / Arithmetic Mean
Three values 47, 67, and 87 have weights 2, 5, and 5. What is the weighted mean?
A. 73
B. 72
C. 74
D. 71
Correct Answer: B
Weighted mean = (47×2+67×5+87×5)/12 = 72.
Mathematics
Average / Arithmetic Mean
Three values 46, 66, and 86 have weights 1, 4, and 4. What is the weighted mean?
A. 72.67
B. 74.67
C. 71.67
D. 73.67
Correct Answer: A
Weighted mean = (46×1+66×4+86×4)/9 = 72.67.
Mathematics
Average / Arithmetic Mean
Three values 45, 65, and 85 have weights 3, 3, and 3. What is the weighted mean?
A. 66
B. 64
C. 67
D. 65
Correct Answer: D
Weighted mean = (45×3+65×3+85×3)/9 = 65.
Mathematics
Average / Arithmetic Mean
Three values 44, 64, and 84 have weights 2, 2, and 7. What is the weighted mean?
A. 74.09
B. 73.09
C. 75.09
D. 72.09
Correct Answer: B
Weighted mean = (44×2+64×2+84×7)/11 = 73.09.
Mathematics
Average / Arithmetic Mean
Three values 43, 63, and 83 have weights 1, 5, and 6. What is the weighted mean?
A. 71.33
B. 70.33
C. 73.33
D. 72.33
Correct Answer: A
Weighted mean = (43×1+63×5+83×6)/12 = 71.33.
Mathematics
Average / Arithmetic Mean
Three values 42, 62, and 82 have weights 3, 4, and 5. What is the weighted mean?
A. 64.33
B. 67.33
C. 65.33
D. 66.33
Correct Answer: C
Weighted mean = (42×3+62×4+82×5)/12 = 65.33.
Mathematics
Average / Arithmetic Mean
Three values 41, 61, and 81 have weights 2, 3, and 4. What is the weighted mean?
A. 67.44
B. 65.44
C. 66.44
D. 64.44
Correct Answer: B
Weighted mean = (41×2+61×3+81×4)/9 = 65.44.
Mathematics
Average / Arithmetic Mean
Three values 40, 60, and 80 have weights 1, 2, and 3. What is the weighted mean?
A. 66.67
B. 68.67
C. 65.67
D. 67.67
Correct Answer: A
Weighted mean = (40×1+60×2+80×3)/6 = 66.67.
Mathematics
Average / Arithmetic Mean
The overall average of 38 candidates is 62.39. Of them, 27 candidates average 54. What is the average of the remaining 11 candidates?
A. 83
B. 81
C. 87
D. 85
Correct Answer: A
Remaining mean = (overall total − first-group total)/11 = 83.
Mathematics
Average / Arithmetic Mean
The overall average of 36 candidates is 60.78. Of them, 26 candidates average 53. What is the average of the remaining 10 candidates?
A. 85
B. 79
C. 83
D. 81
Correct Answer: D
Remaining mean = (overall total − first-group total)/10 = 81.
Mathematics
Average / Arithmetic Mean
The overall average of 34 candidates is 59.15. Of them, 25 candidates average 52. What is the average of the remaining 9 candidates?
A. 77
B. 83
C. 81
D. 79
Correct Answer: D
Remaining mean = (overall total − first-group total)/9 = 79.
Mathematics
Average / Arithmetic Mean
The overall average of 32 candidates is 57.5. Of them, 24 candidates average 51. What is the average of the remaining 8 candidates?
A. 79
B. 75
C. 81
D. 77
Correct Answer: D
Remaining mean = (overall total − first-group total)/8 = 77.
Mathematics
Average / Arithmetic Mean
The overall average of 30 candidates is 55.83. Of them, 23 candidates average 50. What is the average of the remaining 7 candidates?
A. 73
B. 75
C. 77
D. 79
Correct Answer: B
Remaining mean = (overall total − first-group total)/7 = 75.
Mathematics
Average / Arithmetic Mean
The overall average of 33 candidates is 57. Of them, 22 candidates average 49. What is the average of the remaining 11 candidates?
A. 73
B. 77
C. 75
D. 71
Correct Answer: A
Remaining mean = (overall total − first-group total)/11 = 73.
Mathematics
Average / Arithmetic Mean
The overall average of 31 candidates is 55.42. Of them, 21 candidates average 48. What is the average of the remaining 10 candidates?
A. 69
B. 75
C. 71
D. 73
Correct Answer: C
Remaining mean = (overall total − first-group total)/10 = 71.
Mathematics
Average / Arithmetic Mean
The overall average of 29 candidates is 53.83. Of them, 20 candidates average 47. What is the average of the remaining 9 candidates?
A. 67
B. 71
C. 69
D. 73
Correct Answer: C
Remaining mean = (overall total − first-group total)/9 = 69.
Mathematics
Average / Arithmetic Mean
The overall average of 27 candidates is 52.22. Of them, 19 candidates average 46. What is the average of the remaining 8 candidates?
A. 67
B. 65
C. 71
D. 69
Correct Answer: A
Remaining mean = (overall total − first-group total)/8 = 67.
Mathematics
Average / Arithmetic Mean
The overall average of 25 candidates is 50.6. Of them, 18 candidates average 45. What is the average of the remaining 7 candidates?
A. 67
B. 63
C. 69
D. 65
Correct Answer: D
Remaining mean = (overall total − first-group total)/7 = 65.
Mathematics
Average / Arithmetic Mean
A dataset of 29 items has mean 69. Values 54 and 64 are replaced by 79 and 89. Find the new mean.
A. 69.72
B. 72.72
C. 70.72
D. 71.72
Correct Answer: C
Net total change = 50; new mean = 70.72.
Mathematics
Average / Arithmetic Mean
A dataset of 28 items has mean 68. Values 53 and 63 are replaced by 78 and 88. Find the new mean.
A. 69.79
B. 70.79
C. 71.79
D. 68.79
Correct Answer: A
Net total change = 50; new mean = 69.79.