CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Two numbers are equally distant from 31; the smaller is 25. What is the larger number if their average is 31?
A. 37
B. 41
C. 35
D. 39
Correct Answer: A
The numbers are symmetric about 31; larger = 31+6=37.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Two numbers are equally distant from 28; the smaller is 23. What is the larger number if their average is 28?
A. 35
B. 37
C. 31
D. 33
Correct Answer: D
The numbers are symmetric about 28; larger = 28+5=33.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Two numbers are equally distant from 25; the smaller is 21. What is the larger number if their average is 25?
A. 33
B. 29
C. 31
D. 27
Correct Answer: B
The numbers are symmetric about 25; larger = 25+4=29.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A collection has mean 27. After one value 44 is added, the mean becomes 28. How many values were originally present?
A. 15
B. 16
C. 17
D. 18
Correct Answer: B
Let count be n: 27n+44=28(n+1). Solving gives n=16.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A collection has mean 26. After one value 42 is added, the mean becomes 27. How many values were originally present?
A. 15
B. 14
C. 17
D. 16
Correct Answer: A
Let count be n: 26n+42=27(n+1). Solving gives n=15.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A collection has mean 25. After one value 40 is added, the mean becomes 26. How many values were originally present?
A. 15
B. 14
C. 16
D. 13
Correct Answer: B
Let count be n: 25n+40=26(n+1). Solving gives n=14.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A collection has mean 24. After one value 38 is added, the mean becomes 25. How many values were originally present?
A. 15
B. 14
C. 13
D. 12
Correct Answer: C
Let count be n: 24n+38=25(n+1). Solving gives n=13.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A collection has mean 23. After one value 36 is added, the mean becomes 24. How many values were originally present?
A. 13
B. 14
C. 12
D. 11
Correct Answer: C
Let count be n: 23n+36=24(n+1). Solving gives n=12.