Mathematics
Average / Arithmetic Mean
The combined average of two classes is 48.46. Class A has 22 students averaging 44. Class B has 13 students. What is Class B's average?
A. 60
B. 54
C. 56
D. 58
Correct Answer: C
Class B mean = (combined total − Class A total)/13 = 56.
Mathematics
Average / Arithmetic Mean
Class A has 21 students averaging 42 marks and Class B has 12 students averaging 55. What is the overall average?
A. 44.73
B. 48.73
C. 46.73
D. 50.73
Correct Answer: C
Overall mean = (21×42+12×55)/33 = 46.73.
Mathematics
Average / Arithmetic Mean
The combined average of two classes is 47.1. Class A has 20 students averaging 40. Class B has 11 students. What is Class B's average?
A. 58
B. 60
C. 64
D. 62
Correct Answer: B
Class B mean = (combined total − Class A total)/11 = 60.
Mathematics
Average / Arithmetic Mean
Class A has 19 students averaging 48 marks and Class B has 10 students averaging 59. What is the overall average?
A. 53.79
B. 55.79
C. 49.79
D. 51.79
Correct Answer: D
Overall mean = (19×48+10×59)/29 = 51.79.
Mathematics
Average / Arithmetic Mean
The combined average of two classes is 51.03. Class A has 18 students averaging 46. Class B has 13 students. What is Class B's average?
A. 62
B. 60
C. 58
D. 56
Correct Answer: C
Class B mean = (combined total − Class A total)/13 = 58.
Mathematics
Average / Arithmetic Mean
Class A has 17 students averaging 44 marks and Class B has 12 students averaging 57. What is the overall average?
A. 53.38
B. 49.38
C. 51.38
D. 47.38
Correct Answer: B
Overall mean = (17×44+12×57)/29 = 49.38.
Mathematics
Average / Arithmetic Mean
The combined average of two classes is 47.7. Class A has 16 students averaging 42. Class B has 11 students. What is Class B's average?
A. 54
B. 56
C. 58
D. 60
Correct Answer: B
Class B mean = (combined total − Class A total)/11 = 56.
Mathematics
Average / Arithmetic Mean
Class A has 15 students averaging 40 marks and Class B has 10 students averaging 55. What is the overall average?
A. 48
B. 44
C. 46
D. 50
Correct Answer: C
Overall mean = (15×40+10×55)/25 = 46.
Mathematics
Average / Arithmetic Mean
Using assumed mean 49, the deviations of five observations are -6, -2, 1, 3, 3. What is the actual mean?
A. 50.8
B. 48.8
C. 47.8
D. 49.8
Correct Answer: B
Actual mean = assumed mean + average deviation = 48.8.
Mathematics
Average / Arithmetic Mean
Using assumed mean 48, the deviations of five observations are -5, -2, 1, 3, 5. What is the actual mean?
A. 47.4
B. 49.4
C. 50.4
D. 48.4
Correct Answer: D
Actual mean = assumed mean + average deviation = 48.4.
Mathematics
Average / Arithmetic Mean
Using assumed mean 47, the deviations of five observations are -6, -2, 1, 3, 4. What is the actual mean?
A. 47
B. 49
C. 48
D. 46
Correct Answer: A
Actual mean = assumed mean + average deviation = 47.
Mathematics
Average / Arithmetic Mean
Using assumed mean 46, the deviations of five observations are -5, -2, 1, 3, 3. What is the actual mean?
A. 47
B. 48
C. 46
D. 45
Correct Answer: C
Actual mean = assumed mean + average deviation = 46.
Mathematics
Average / Arithmetic Mean
Using assumed mean 45, the deviations of five observations are -6, -2, 1, 3, 5. What is the actual mean?
A. 45.2
B. 46.2
C. 47.2
D. 44.2
Correct Answer: A
Actual mean = assumed mean + average deviation = 45.2.
Mathematics
Average / Arithmetic Mean
Using assumed mean 44, the deviations of five observations are -5, -2, 1, 3, 4. What is the actual mean?
A. 43.2
B. 45.2
C. 46.2
D. 44.2
Correct Answer: D
Actual mean = assumed mean + average deviation = 44.2.
Mathematics
Average / Arithmetic Mean
Using assumed mean 43, the deviations of five observations are -6, -2, 1, 3, 3. What is the actual mean?
A. 41.8
B. 42.8
C. 44.8
D. 43.8
Correct Answer: B
Actual mean = assumed mean + average deviation = 42.8.
Mathematics
Average / Arithmetic Mean
Using assumed mean 42, the deviations of five observations are -5, -2, 1, 3, 5. What is the actual mean?
A. 43.4
B. 42.4
C. 41.4
D. 44.4
Correct Answer: B
Actual mean = assumed mean + average deviation = 42.4.
Mathematics
Average / Arithmetic Mean
Using assumed mean 41, the deviations of five observations are -6, -2, 1, 3, 4. What is the actual mean?
A. 40
B. 42
C. 41
D. 43
Correct Answer: C
Actual mean = assumed mean + average deviation = 41.
Mathematics
Average / Arithmetic Mean
Using assumed mean 40, the deviations of five observations are -5, -2, 1, 3, 3. What is the actual mean?
A. 42
B. 39
C. 41
D. 40
Correct Answer: D
Actual mean = assumed mean + average deviation = 40.
Mathematics
Average / Arithmetic Mean
The mean of a dataset is 34. Each value x is transformed to 3x + 7. What is the mean of the transformed dataset?
A. 107
B. 111
C. 109
D. 113
Correct Answer: C
New mean = 3×34+7 = 109.
Mathematics
Average / Arithmetic Mean
The mean of a dataset is 33. Each value x is transformed to 2x + 6. What is the mean of the transformed dataset?
A. 74
B. 70
C. 76
D. 72
Correct Answer: D
New mean = 2×33+6 = 72.