Mathematics
Average / Arithmetic Mean
Every observation in a dataset with mean 44 is increased by 20%. What is the new mean?
A. 56.8
B. 54.8
C. 50.8
D. 52.8
Correct Answer: D
Mean increases by the same 20%: 52.8.
Mathematics
Average / Arithmetic Mean
Every observation in a dataset with mean 42 is decreased by 15%. What is the new mean?
A. 39.7
B. 37.7
C. 35.7
D. 33.7
Correct Answer: C
Mean decreases by the same 15%: 35.7.
Mathematics
Average / Arithmetic Mean
Every observation in a dataset with mean 40 is increased by 10%. What is the new mean?
A. 48
B. 42
C. 46
D. 44
Correct Answer: D
Mean increases by the same 10%: 44.
Mathematics
Average / Arithmetic Mean
The reported mean of 18 observations is 54. Values 78 and 44 should be 70 and 49. What is the corrected mean?
A. 54.33
B. 54.83
C. 53.33
D. 53.83
Correct Answer: D
Apply both corrections to the total; corrected mean = 53.83.
Mathematics
Average / Arithmetic Mean
The reported mean of 17 observations is 53. Values 76 and 43 should be 69 and 48. What is the corrected mean?
A. 52.38
B. 53.88
C. 52.88
D. 53.38
Correct Answer: C
Apply both corrections to the total; corrected mean = 52.88.
Mathematics
Average / Arithmetic Mean
The reported mean of 16 observations is 52. Values 74 and 42 should be 68 and 47. What is the corrected mean?
A. 51.94
B. 52.94
C. 51.44
D. 52.44
Correct Answer: A
Apply both corrections to the total; corrected mean = 51.94.
Mathematics
Average / Arithmetic Mean
The reported mean of 15 observations is 51. Values 72 and 41 should be 63 and 46. What is the corrected mean?
A. 51.73
B. 50.73
C. 50.23
D. 51.23
Correct Answer: B
Apply both corrections to the total; corrected mean = 50.73.
Mathematics
Average / Arithmetic Mean
The reported mean of 14 observations is 50. Values 70 and 40 should be 62 and 45. What is the corrected mean?
A. 49.79
B. 50.29
C. 49.29
D. 50.79
Correct Answer: A
Apply both corrections to the total; corrected mean = 49.79.
Mathematics
Average / Arithmetic Mean
The reported mean of 13 observations is 49. Values 68 and 39 should be 61 and 44. What is the corrected mean?
A. 48.85
B. 49.35
C. 48.35
D. 49.85
Correct Answer: A
Apply both corrections to the total; corrected mean = 48.85.
Mathematics
Average / Arithmetic Mean
The reported mean of 12 observations is 48. Values 66 and 38 should be 60 and 43. What is the corrected mean?
A. 47.92
B. 48.42
C. 47.42
D. 48.92
Correct Answer: A
Apply both corrections to the total; corrected mean = 47.92.
Mathematics
Average / Arithmetic Mean
The reported mean of 19 observations is 47. A value 64 should actually be 55. What is the corrected mean?
A. 46.03
B. 47.53
C. 47.03
D. 46.53
Correct Answer: D
Adjust total by -9; corrected mean = 46.53.
Mathematics
Average / Arithmetic Mean
The reported mean of 18 observations is 46. A value 62 should actually be 54. What is the corrected mean?
A. 46.06
B. 45.56
C. 45.06
D. 46.56
Correct Answer: B
Adjust total by -8; corrected mean = 45.56.
Mathematics
Average / Arithmetic Mean
The reported mean of 17 observations is 45. A value 60 should actually be 53. What is the corrected mean?
A. 45.59
B. 44.09
C. 45.09
D. 44.59
Correct Answer: D
Adjust total by -7; corrected mean = 44.59.
Mathematics
Average / Arithmetic Mean
The reported mean of 16 observations is 44. A value 58 should actually be 52. What is the corrected mean?
A. 43.12
B. 44.12
C. 44.62
D. 43.62
Correct Answer: D
Adjust total by -6; corrected mean = 43.62.
Mathematics
Average / Arithmetic Mean
The reported mean of 15 observations is 43. A value 56 should actually be 47. What is the corrected mean?
A. 43.4
B. 42.9
C. 41.9
D. 42.4
Correct Answer: D
Adjust total by -9; corrected mean = 42.4.
Mathematics
Average / Arithmetic Mean
The reported mean of 14 observations is 42. A value 54 should actually be 46. What is the corrected mean?
A. 40.93
B. 41.43
C. 42.43
D. 41.93
Correct Answer: B
Adjust total by -8; corrected mean = 41.43.
Mathematics
Average / Arithmetic Mean
The reported mean of 13 observations is 41. A value 52 should actually be 45. What is the corrected mean?
A. 39.96
B. 40.96
C. 41.46
D. 40.46
Correct Answer: D
Adjust total by -7; corrected mean = 40.46.
Mathematics
Average / Arithmetic Mean
The reported mean of 12 observations is 40. A value 50 should actually be 44. What is the corrected mean?
A. 40.5
B. 40
C. 39.5
D. 39
Correct Answer: C
Adjust total by -6; corrected mean = 39.5.
Mathematics
Average / Arithmetic Mean
Two numbers are equally distant from 37; the smaller is 29. What is the larger number if their average is 37?
A. 45
B. 49
C. 47
D. 43
Correct Answer: A
The numbers are symmetric about 37; larger = 37+8=45.
Mathematics
Average / Arithmetic Mean
Two numbers are equally distant from 34; the smaller is 27. What is the larger number if their average is 34?
A. 41
B. 45
C. 39
D. 43
Correct Answer: A
The numbers are symmetric about 34; larger = 34+7=41.