CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average age of 29 students is 18 years. Including a teacher aged 44 years, what is the new average age?
A. 18.87 years
B. 20.87 years
C. 17.87 years
D. 19.87 years
Correct Answer: A
New mean = (29×18+44)/30 = 18.87 years.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average age of 28 students is 17 years. Including a teacher aged 43 years, what is the new average age?
A. 17.9 years
B. 16.9 years
C. 19.9 years
D. 18.9 years
Correct Answer: A
New mean = (28×17+43)/29 = 17.9 years.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average age of 27 students is 16 years. Including a teacher aged 42 years, what is the new average age?
A. 18.93 years
B. 16.93 years
C. 15.93 years
D. 17.93 years
Correct Answer: B
New mean = (27×16+42)/28 = 16.93 years.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average age of 26 students is 15 years. Including a teacher aged 41 years, what is the new average age?
A. 16.96 years
B. 14.96 years
C. 17.96 years
D. 15.96 years
Correct Answer: D
New mean = (26×15+41)/27 = 15.96 years.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average age of 25 students is 14 years. Including a teacher aged 40 years, what is the new average age?
A. 17 years
B. 16 years
C. 14 years
D. 15 years
Correct Answer: D
New mean = (25×14+40)/26 = 15 years.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average age of 24 students is 18 years. Including a teacher aged 39 years, what is the new average age?
A. 20.84 years
B. 19.84 years
C. 18.84 years
D. 17.84 years
Correct Answer: C
New mean = (24×18+39)/25 = 18.84 years.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average age of 23 students is 17 years. Including a teacher aged 38 years, what is the new average age?
A. 18.88 years
B. 16.88 years
C. 17.88 years
D. 19.88 years
Correct Answer: C
New mean = (23×17+38)/24 = 17.88 years.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average age of 22 students is 16 years. Including a teacher aged 37 years, what is the new average age?
A. 17.91 years
B. 18.91 years
C. 16.91 years
D. 15.91 years
Correct Answer: C
New mean = (22×16+37)/23 = 16.91 years.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average age of 21 students is 15 years. Including a teacher aged 36 years, what is the new average age?
A. 14.95 years
B. 15.95 years
C. 16.95 years
D. 17.95 years
Correct Answer: B
New mean = (21×15+36)/22 = 15.95 years.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average age of 20 students is 14 years. Including a teacher aged 35 years, what is the new average age?
A. 17 years
B. 16 years
C. 14 years
D. 15 years
Correct Answer: D
New mean = (20×14+35)/21 = 15 years.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A section of 24 members has mean 44. Another section of 8 members with mean 64 is merged into it. What is the resulting mean?
A. 48
B. 50
C. 49
D. 51
Correct Answer: C
Resulting mean = (24×44+8×64)/32 = 49.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A section of 23 members has mean 43. Another section of 7 members with mean 63 is merged into it. What is the resulting mean?
A. 47.67
B. 48.67
C. 49.67
D. 46.67
Correct Answer: A
Resulting mean = (23×43+7×63)/30 = 47.67.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A section of 22 members has mean 42. Another section of 6 members with mean 62 is merged into it. What is the resulting mean?
A. 47.29
B. 48.29
C. 46.29
D. 45.29
Correct Answer: C
Resulting mean = (22×42+6×62)/28 = 46.29.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A section of 21 members has mean 41. Another section of 5 members with mean 61 is merged into it. What is the resulting mean?
A. 43.85
B. 45.85
C. 46.85
D. 44.85
Correct Answer: D
Resulting mean = (21×41+5×61)/26 = 44.85.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A section of 20 members has mean 40. Another section of 4 members with mean 60 is merged into it. What is the resulting mean?
A. 45.33
B. 43.33
C. 42.33
D. 44.33
Correct Answer: B
Resulting mean = (20×40+4×60)/24 = 43.33.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Three teams have sizes 4, 7, 12 and respective averages 29, 44, 59. Find their combined mean.
A. 51.22
B. 50.22
C. 49.22
D. 48.22
Correct Answer: C
Combined mean = Σ(size×mean)/Σsize = 49.22.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Three teams have sizes 6, 6, 11 and respective averages 28, 43, 58. Find their combined mean.
A. 45.26
B. 46.26
C. 48.26
D. 47.26
Correct Answer: B
Combined mean = Σ(size×mean)/Σsize = 46.26.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Three teams have sizes 5, 9, 10 and respective averages 27, 42, 57. Find their combined mean.
A. 46.12
B. 45.12
C. 44.12
D. 47.12
Correct Answer: B
Combined mean = Σ(size×mean)/Σsize = 45.12.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Three teams have sizes 4, 8, 9 and respective averages 26, 41, 56. Find their combined mean.
A. 43.57
B. 45.57
C. 44.57
D. 46.57
Correct Answer: C
Combined mean = Σ(size×mean)/Σsize = 44.57.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Three teams have sizes 6, 7, 8 and respective averages 25, 40, 55. Find their combined mean.
A. 43.43
B. 40.43
C. 41.43
D. 42.43
Correct Answer: C
Combined mean = Σ(size×mean)/Σsize = 41.43.