CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
If all values in a dataset are identical, the mean is:
A. Equal to that common value
B. Twice the common value
C. Zero
D. Undefined
Correct Answer: A
Equal values have the same value as their mean.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
For two numbers a and b, their arithmetic mean equals:
A. ab/2
B. a+b
C. (a−b)/2
D. (a+b)/2
Correct Answer: D
Mean of two numbers = their sum divided by 2.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A dataset has mean 35. If it contains 12 observations, its total is:
A. 35
B. 23
C. 420
D. 47
Correct Answer: C
Total = 35×12 = 420.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
If the sum of deviations from a number is zero, that number is the:
A. Range
B. Arithmetic mean
C. Frequency
D. Mode
Correct Answer: B
Deviations from the arithmetic mean sum to zero.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Which value is most directly affected by every observation in a dataset?
A. Arithmetic mean
B. Class interval
C. Range only
D. Mode only
Correct Answer: A
The arithmetic mean uses every observation.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A dataset has mean 29. Every value is first multiplied by 2 and then increased by 5. What is the new mean?
A. 60
B. 63
C. 69
D. 66
Correct Answer: B
New mean = 2×29+5 = 63.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A dataset has mean 28. Every value is first multiplied by 4 and then increased by 4. What is the new mean?
A. 116
B. 113
C. 119
D. 122
Correct Answer: A
New mean = 4×28+4 = 116.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A dataset has mean 27. Every value is first multiplied by 3 and then increased by 3. What is the new mean?
A. 84
B. 81
C. 90
D. 87
Correct Answer: A
New mean = 3×27+3 = 84.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A dataset has mean 26. Every value is first multiplied by 2 and then increased by 2. What is the new mean?
A. 60
B. 54
C. 57
D. 51
Correct Answer: B
New mean = 2×26+2 = 54.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A dataset has mean 25. Every value is first multiplied by 4 and then increased by 1. What is the new mean?
A. 101
B. 107
C. 104
D. 98
Correct Answer: A
New mean = 4×25+1 = 101.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A dataset has mean 24. Every value is first multiplied by 3 and then increased by 5. What is the new mean?
A. 77
B. 83
C. 80
D. 74
Correct Answer: A
New mean = 3×24+5 = 77.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A dataset has mean 23. Every value is first multiplied by 2 and then increased by 4. What is the new mean?
A. 56
B. 53
C. 50
D. 47
Correct Answer: C
New mean = 2×23+4 = 50.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A dataset has mean 22. Every value is first multiplied by 4 and then increased by 3. What is the new mean?
A. 91
B. 88
C. 97
D. 94
Correct Answer: A
New mean = 4×22+3 = 91.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A dataset has mean 21. Every value is first multiplied by 3 and then increased by 2. What is the new mean?
A. 65
B. 68
C. 71
D. 62
Correct Answer: A
New mean = 3×21+2 = 65.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A dataset has mean 20. Every value is first multiplied by 2 and then increased by 1. What is the new mean?
A. 41
B. 38
C. 47
D. 44
Correct Answer: A
New mean = 2×20+1 = 41.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The sum of a set is 320 and its mean is 32. How many observations are in the set?
A. 10
B. 11
C. 12
D. 9
Correct Answer: A
Count = Sum ÷ Mean = 320 ÷ 32 = 10.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The sum of a set is 270 and its mean is 30. How many observations are in the set?
A. 10
B. 11
C. 8
D. 9
Correct Answer: D
Count = Sum ÷ Mean = 270 ÷ 30 = 9.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The sum of a set is 224 and its mean is 28. How many observations are in the set?
A. 9
B. 7
C. 8
D. 10
Correct Answer: C
Count = Sum ÷ Mean = 224 ÷ 28 = 8.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The sum of a set is 182 and its mean is 26. How many observations are in the set?
A. 8
B. 7
C. 6
D. 9
Correct Answer: B
Count = Sum ÷ Mean = 182 ÷ 26 = 7.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The sum of a set is 288 and its mean is 24. How many observations are in the set?
A. 11
B. 14
C. 12
D. 13
Correct Answer: C
Count = Sum ÷ Mean = 288 ÷ 24 = 12.