Mathematics
Average / Arithmetic Mean
The mean of 36, 35, 35, 37, 37, 39, and x is 36. Find x.
A. 30
B. 39
C. 33
D. 36
Correct Answer: C
Required total = 7×36=252. Known total is 219, so x=33.
Mathematics
Average / Arithmetic Mean
The mean of 34, 34, 33, 36, 37, and x is 34. Find x.
A. 30
B. 33
C. 27
D. 36
Correct Answer: A
Required total = 6×34=204. Known total is 174, so x=30.
Mathematics
Average / Arithmetic Mean
The mean of 33, 32, 32, 36, and x is 32. Find x.
A. 33
B. 24
C. 27
D. 30
Correct Answer: C
Required total = 5×32=160. Known total is 133, so x=27.
Mathematics
Average / Arithmetic Mean
The mean of 30, 29, 29, 31, 30, 30, 33, 34, and x is 30. Find x.
A. 27
B. 24
C. 21
D. 30
Correct Answer: B
Required total = 9×30=270. Known total is 246, so x=24.
Mathematics
Average / Arithmetic Mean
The mean of 29, 28, 27, 29, 29, 28, 33, and x is 28. Find x.
A. 18
B. 27
C. 21
D. 24
Correct Answer: C
Required total = 8×28=224. Known total is 203, so x=21.
Mathematics
Average / Arithmetic Mean
The mean of 27, 26, 25, 28, 28, 30, and x is 26. Find x.
A. 18
B. 24
C. 21
D. 15
Correct Answer: A
Required total = 7×26=182. Known total is 164, so x=18.
Mathematics
Average / Arithmetic Mean
The mean of 25, 25, 24, 27, 28, and x is 24. Find x.
A. 12
B. 15
C. 21
D. 18
Correct Answer: B
Required total = 6×24=144. Known total is 129, so x=15.
Mathematics
Average / Arithmetic Mean
The mean of 24, 23, 23, 28, and x is 22. Find x.
A. 9
B. 18
C. 15
D. 12
Correct Answer: D
Required total = 5×22=110. Known total is 98, so x=12.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.