CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Three teams have sizes 5, 6, 12 and respective averages 24, 39, 54. Find their combined mean.
A. 42.57
B. 44.57
C. 45.57
D. 43.57
Correct Answer: D
Combined mean = Σ(size×mean)/Σsize = 43.57.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Three teams have sizes 4, 9, 11 and respective averages 23, 38, 53. Find their combined mean.
A. 43.38
B. 41.38
C. 42.38
D. 44.38
Correct Answer: C
Combined mean = Σ(size×mean)/Σsize = 42.38.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Three teams have sizes 6, 8, 10 and respective averages 22, 37, 52. Find their combined mean.
A. 41.5
B. 40.5
C. 39.5
D. 38.5
Correct Answer: C
Combined mean = Σ(size×mean)/Σsize = 39.5.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Three teams have sizes 5, 7, 9 and respective averages 21, 36, 51. Find their combined mean.
A. 39.86
B. 37.86
C. 38.86
D. 40.86
Correct Answer: C
Combined mean = Σ(size×mean)/Σsize = 38.86.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Three teams have sizes 4, 6, 8 and respective averages 20, 35, 50. Find their combined mean.
A. 38.33
B. 39.33
C. 37.33
D. 40.33
Correct Answer: A
Combined mean = Σ(size×mean)/Σsize = 38.33.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
One batch averages 33 and another averages 72. Their combined mean is 56.4. In what ratio are the batch sizes (first:second)?
A. 4:7
B. 6:4
C. 5:6
D. 4:6
Correct Answer: D
By alligation, first:second = (72−56.4):(56.4−33) = 4:6.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
One batch averages 32 and another averages 70. Their combined mean is 55.75. In what ratio are the batch sizes (first:second)?
A. 5:3
B. 4:5
C. 3:6
D. 3:5
Correct Answer: D
By alligation, first:second = (70−55.75):(55.75−32) = 3:5.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
One batch averages 31 and another averages 68. Their combined mean is 45.8. In what ratio are the batch sizes (first:second)?
A. 7:4
B. 6:5
C. 6:4
D. 4:6
Correct Answer: C
By alligation, first:second = (68−45.8):(45.8−31) = 6:4.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
One batch averages 30 and another averages 66. Their combined mean is 43.5. In what ratio are the batch sizes (first:second)?
A. 5:4
B. 3:5
C. 5:3
D. 6:3
Correct Answer: C
By alligation, first:second = (66−43.5):(43.5−30) = 5:3.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
One batch averages 29 and another averages 64. Their combined mean is 40.67. In what ratio are the batch sizes (first:second)?
A. 2:4
B. 4:2
C. 4:3
D. 5:2
Correct Answer: B
By alligation, first:second = (64−40.67):(40.67−29) = 4:2.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
One batch averages 28 and another averages 62. Their combined mean is 50.67. In what ratio are the batch sizes (first:second)?
A. 6:3
B. 3:6
C. 4:6
D. 3:7
Correct Answer: B
By alligation, first:second = (62−50.67):(50.67−28) = 3:6.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
One batch averages 27 and another averages 60. Their combined mean is 42. In what ratio are the batch sizes (first:second)?
A. 5:6
B. 7:5
C. 6:6
D. 6:5
Correct Answer: D
By alligation, first:second = (60−42):(42−27) = 6:5.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
One batch averages 26 and another averages 58. Their combined mean is 40.22. In what ratio are the batch sizes (first:second)?
A. 5:5
B. 4:5
C. 6:4
D. 5:4
Correct Answer: D
By alligation, first:second = (58−40.22):(40.22−26) = 5:4.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
One batch averages 25 and another averages 56. Their combined mean is 38.29. In what ratio are the batch sizes (first:second)?
A. 5:3
B. 4:3
C. 3:4
D. 4:4
Correct Answer: B
By alligation, first:second = (56−38.29):(38.29−25) = 4:3.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
One batch averages 24 and another averages 54. Their combined mean is 36. In what ratio are the batch sizes (first:second)?
A. 2:3
B. 3:3
C. 3:2
D. 4:2
Correct Answer: C
By alligation, first:second = (54−36):(36−24) = 3:2.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A group has overall mean 49.04. One section has 17 members averaging 39; the other section averages 68. How many members are in the second section?
A. 9
B. 11
C. 8
D. 10
Correct Answer: A
Use the combined-mean equation and solve for the second count: 9.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A group has overall mean 47.33. One section has 16 members averaging 38; the other section averages 66. How many members are in the second section?
A. 10
B. 7
C. 9
D. 8
Correct Answer: D
Use the combined-mean equation and solve for the second count: 8.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A group has overall mean 45.59. One section has 15 members averaging 37; the other section averages 64. How many members are in the second section?
A. 6
B. 8
C. 9
D. 7
Correct Answer: D
Use the combined-mean equation and solve for the second count: 7.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A group has overall mean 43.8. One section has 14 members averaging 36; the other section averages 62. How many members are in the second section?
A. 6
B. 5
C. 7
D. 8
Correct Answer: A
Use the combined-mean equation and solve for the second count: 6.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A group has overall mean 41.94. One section has 13 members averaging 35; the other section averages 60. How many members are in the second section?
A. 6
B. 5
C. 7
D. 4
Correct Answer: B
Use the combined-mean equation and solve for the second count: 5.