CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Values 19, 38, and 39 occur 3, 5, and x times respectively. If the average is 34.36, find x.
A. 5
B. 8
C. 7
D. 6
Correct Answer: D
Using Σfx/Σf = 34.36 and solving gives x=6.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Values 18, 36, and 38 occur 2, 4, and x times respectively. If the average is 33.64, find x.
A. 7
B. 6
C. 5
D. 4
Correct Answer: C
Using Σfx/Σf = 33.64 and solving gives x=5.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Values 17, 34, and 37 occur 5, 3, and x times respectively. If the average is 27.92, find x.
A. 5
B. 3
C. 4
D. 6
Correct Answer: C
Using Σfx/Σf = 27.92 and solving gives x=4.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Values 16, 32, and 36 occur 4, 6, and x times respectively. If the average is 28, find x.
A. 4
B. 3
C. 5
D. 2
Correct Answer: B
Using Σfx/Σf = 28 and solving gives x=3.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Values 15, 30, and 35 occur 3, 5, and x times respectively. If the average is 26.5, find x.
A. 1
B. 4
C. 3
D. 2
Correct Answer: D
Using Σfx/Σf = 26.5 and solving gives x=2.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The number 14 occurs 2 times and 28 occurs 4 times. What is the average of all observations?
A. 25.33
B. 22.33
C. 24.33
D. 23.33
Correct Answer: D
Weighted mean = (14×2+28×4)/(6) = 23.33.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The number 13 occurs 5 times and 26 occurs 3 times. What is the average of all observations?
A. 16.88
B. 17.88
C. 19.88
D. 18.88
Correct Answer: B
Weighted mean = (13×5+26×3)/(8) = 17.88.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The number 12 occurs 4 times and 24 occurs 6 times. What is the average of all observations?
A. 19.2
B. 21.2
C. 20.2
D. 18.2
Correct Answer: A
Weighted mean = (12×4+24×6)/(10) = 19.2.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The number 11 occurs 3 times and 22 occurs 5 times. What is the average of all observations?
A. 18.88
B. 19.88
C. 16.88
D. 17.88
Correct Answer: D
Weighted mean = (11×3+22×5)/(8) = 17.88.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The number 10 occurs 2 times and 20 occurs 4 times. What is the average of all observations?
A. 16.67
B. 17.67
C. 15.67
D. 18.67
Correct Answer: A
Weighted mean = (10×2+20×4)/(6) = 16.67.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average of 6 numbers is 42. The sum of 4 known numbers is 187. If the two missing numbers differ by 5, what is the larger missing number?
A. 39
B. 33
C. 37
D. 35
Correct Answer: D
The missing pair sums to 65. With difference 5, the larger number is 35.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average of 8 numbers is 40. The sum of 6 known numbers is 260. If the two missing numbers differ by 4, what is the larger missing number?
A. 30
B. 32
C. 34
D. 36
Correct Answer: B
The missing pair sums to 60. With difference 4, the larger number is 32.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average of 7 numbers is 38. The sum of 5 known numbers is 207. If the two missing numbers differ by 7, what is the larger missing number?
A. 33
B. 31
C. 35
D. 37
Correct Answer: A
The missing pair sums to 59. With difference 7, the larger number is 33.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average of 6 numbers is 36. The sum of 4 known numbers is 162. If the two missing numbers differ by 6, what is the larger missing number?
A. 28
B. 32
C. 30
D. 34
Correct Answer: C
The missing pair sums to 54. With difference 6, the larger number is 30.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average of 8 numbers is 34. The sum of 6 known numbers is 223. If the two missing numbers differ by 5, what is the larger missing number?
A. 25
B. 31
C. 27
D. 29
Correct Answer: C
The missing pair sums to 49. With difference 5, the larger number is 27.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average of 7 numbers is 32. The sum of 5 known numbers is 180. If the two missing numbers differ by 4, what is the larger missing number?
A. 28
B. 24
C. 26
D. 22
Correct Answer: B
The missing pair sums to 44. With difference 4, the larger number is 24.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average of 6 numbers is 30. The sum of 4 known numbers is 137. If the two missing numbers differ by 7, what is the larger missing number?
A. 23
B. 29
C. 27
D. 25
Correct Answer: D
The missing pair sums to 43. With difference 7, the larger number is 25.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average of 8 numbers is 28. The sum of 6 known numbers is 186. If the two missing numbers differ by 6, what is the larger missing number?
A. 26
B. 20
C. 22
D. 24
Correct Answer: C
The missing pair sums to 38. With difference 6, the larger number is 22.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average of 7 numbers is 26. The sum of 5 known numbers is 149. If the two missing numbers differ by 5, what is the larger missing number?
A. 17
B. 19
C. 23
D. 21
Correct Answer: B
The missing pair sums to 33. With difference 5, the larger number is 19.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average of 6 numbers is 24. The sum of 4 known numbers is 116. If the two missing numbers differ by 4, what is the larger missing number?
A. 20
B. 14
C. 18
D. 16
Correct Answer: D
The missing pair sums to 28. With difference 4, the larger number is 16.