CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Three groups contain 6, 10, and 7 members with averages 38, 39, and 43 respectively. Find the overall average.
A. 39.96
B. 40.96
C. 41.96
D. 38.96
Correct Answer: A
Overall mean = total weighted sum ÷ total members = 39.96.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Three groups contain 5, 9, and 9 members with averages 36, 38, and 42 respectively. Find the overall average.
A. 40.13
B. 39.13
C. 38.13
D. 41.13
Correct Answer: B
Overall mean = total weighted sum ÷ total members = 39.13.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Three groups contain 8, 8, and 8 members with averages 34, 37, and 41 respectively. Find the overall average.
A. 38.33
B. 37.33
C. 39.33
D. 36.33
Correct Answer: B
Overall mean = total weighted sum ÷ total members = 37.33.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Three groups contain 7, 7, and 7 members with averages 32, 36, and 40 respectively. Find the overall average.
A. 36
B. 35
C. 38
D. 37
Correct Answer: A
Overall mean = total weighted sum ÷ total members = 36.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Three groups contain 6, 6, and 9 members with averages 30, 35, and 45 respectively. Find the overall average.
A. 37.86
B. 39.86
C. 36.86
D. 38.86
Correct Answer: A
Overall mean = total weighted sum ÷ total members = 37.86.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Three groups contain 5, 10, and 8 members with averages 28, 34, and 44 respectively. Find the overall average.
A. 35.17
B. 37.17
C. 36.17
D. 38.17
Correct Answer: C
Overall mean = total weighted sum ÷ total members = 36.17.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Three groups contain 8, 9, and 7 members with averages 26, 33, and 43 respectively. Find the overall average.
A. 33.58
B. 35.58
C. 34.58
D. 32.58
Correct Answer: A
Overall mean = total weighted sum ÷ total members = 33.58.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Three groups contain 7, 8, and 9 members with averages 24, 32, and 42 respectively. Find the overall average.
A. 34.42
B. 35.42
C. 33.42
D. 32.42
Correct Answer: C
Overall mean = total weighted sum ÷ total members = 33.42.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Three groups contain 6, 7, and 8 members with averages 22, 31, and 41 respectively. Find the overall average.
A. 31.24
B. 33.24
C. 32.24
D. 34.24
Correct Answer: C
Overall mean = total weighted sum ÷ total members = 32.24.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Three groups contain 5, 6, and 7 members with averages 20, 30, and 40 respectively. Find the overall average.
A. 31.11
B. 32.11
C. 33.11
D. 30.11
Correct Answer: A
Overall mean = total weighted sum ÷ total members = 31.11.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Two groups have averages 29 and 58. Their combined average is 45.57. What is the ratio of the number of members in the first group to the second group?
A. 3:4
B. 3:5
C. 4:3
D. 4:4
Correct Answer: A
By allegation, first:second = (58−45.57):(45.57−29) = 3:4.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Two groups have averages 28 and 56. Their combined average is 44.8. What is the ratio of the number of members in the first group to the second group?
A. 3:2
B. 2:4
C. 3:3
D. 2:3
Correct Answer: D
By allegation, first:second = (56−44.8):(44.8−28) = 2:3.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Two groups have averages 27 and 54. Their combined average is 42.75. What is the ratio of the number of members in the first group to the second group?
A. 5:8
B. 6:7
C. 5:7
D. 7:5
Correct Answer: C
By allegation, first:second = (54−42.75):(42.75−27) = 5:7.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Two groups have averages 26 and 52. Their combined average is 41.6. What is the ratio of the number of members in the first group to the second group?
A. 4:6
B. 4:7
C. 5:6
D. 6:4
Correct Answer: A
By allegation, first:second = (52−41.6):(41.6−26) = 4:6.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Two groups have averages 25 and 50. Their combined average is 40.62. What is the ratio of the number of members in the first group to the second group?
A. 3:6
B. 4:5
C. 3:5
D. 5:3
Correct Answer: C
By allegation, first:second = (50−40.62):(40.62−25) = 3:5.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Two groups have averages 24 and 48. Their combined average is 40. What is the ratio of the number of members in the first group to the second group?
A. 2:5
B. 3:4
C. 4:2
D. 2:4
Correct Answer: D
By allegation, first:second = (48−40):(40−24) = 2:4.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Two groups have averages 23 and 46. Their combined average is 31.62. What is the ratio of the number of members in the first group to the second group?
A. 6:3
B. 5:4
C. 3:5
D. 5:3
Correct Answer: D
By allegation, first:second = (46−31.62):(31.62−23) = 5:3.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Two groups have averages 22 and 44. Their combined average is 36. What is the ratio of the number of members in the first group to the second group?
A. 5:7
B. 4:8
C. 7:4
D. 4:7
Correct Answer: D
By allegation, first:second = (44−36):(36−22) = 4:7.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Two groups have averages 21 and 42. Their combined average is 35. What is the ratio of the number of members in the first group to the second group?
A. 4:6
B. 6:3
C. 3:6
D. 3:7
Correct Answer: C
By allegation, first:second = (42−35):(35−21) = 3:6.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Two groups have averages 20 and 40. Their combined average is 34.29. What is the ratio of the number of members in the first group to the second group?
A. 5:2
B. 2:5
C. 3:5
D. 2:6
Correct Answer: B
By allegation, first:second = (40−34.29):(34.29−20) = 2:5.