- No data uploaded
- Instant results
FRM Part I Averages & Statistics Questions
Practise averages & statistics (quantitative aptitude) for the Financial Risk Manager Part I: 10 multiple-choice questions, each with the correct answer and a worked explanation. Click an option to check it, or “New questions” for another set.
Averages & Statistics practice
-
Q1.Find the mean of: 6, 25, 5, 26, 31, 27, 6
Show answer & explanation
Answer: A — 18
Sum = 126, ÷ 7 = 18.
-
Q2.The average of 5 numbers is 37. If 69 is added, what is the new average?
Show answer & explanation
Answer: D — 42.33
Old total = 5 × 37 = 185. New total = 185 + 69 = 254; new average = 254/6 = 42.33.
-
Q3.The average of 12 numbers is 71. If 83 is added, what is the new average?
Show answer & explanation
Answer: A — 71.92
Old total = 12 × 71 = 852. New total = 852 + 83 = 935; new average = 935/13 = 71.92.
-
Q4.Find the range of: 32, 19, 4, 37, 24, 35, 40
Show answer & explanation
Answer: D — 36
Range = max − min = 40 − 4 = 36.
-
Q5.The average of 10 numbers is 42. If 52 is added, what is the new average?
Show answer & explanation
Answer: A — 42.91
Old total = 10 × 42 = 420. New total = 420 + 52 = 472; new average = 472/11 = 42.91.
-
Q6.Find the median of: 22, 23, 8, 40, 37, 34, 5
Show answer & explanation
Answer: B — 23
Sorted: 5, 8, 22, 23, 34, 37, 40. The middle (4th) value is 23.
-
Q7.The average of 9 numbers is 54. If 61 is added, what is the new average?
Show answer & explanation
Answer: D — 54.7
Old total = 9 × 54 = 486. New total = 486 + 61 = 547; new average = 547/10 = 54.7.
-
Q8.Find the median of: 26, 31, 10, 6, 17, 13, 33
Show answer & explanation
Answer: A — 17
Sorted: 6, 10, 13, 17, 26, 31, 33. The middle (4th) value is 17.
-
Q9.The average of 8 numbers is 32. If 56 is added, what is the new average?
Show answer & explanation
Answer: C — 34.67
Old total = 8 × 32 = 256. New total = 256 + 56 = 312; new average = 312/9 = 34.67.
-
Q10.Find the range of: 7, 32, 36, 18, 20, 15, 17
Show answer & explanation
Answer: A — 29
Range = max − min = 36 − 7 = 29.
How to approach averages & statistics questions
Average × count = total: most average questions are really about totals. For a set of data, sort it before finding the median and look for the most frequent value for the mode.
About FRM Part I
Financial Risk Manager Part I — conducted by Global Association of Risk Professionals (GARP). Foundations of risk management, quantitative analysis, markets and valuation.
Original practice questions written for this site in the style and difficulty of each exam’s syllabus. They are not past papers and the site is not affiliated with any exam body. Exam patterns, marking schemes and syllabi change — always check the latest official notification.
FRM Part I practice topics
| Topic | Section | Question source |
|---|---|---|
| Probability & Combinatorics | Mathematics | Calculated (new numbers every set) |
| Accounting & Finance | Finance | Calculated + question bank |
| Simple & Compound Interest | Quantitative aptitude | Calculated (new numbers every set) |
| Averages & Statistics | Quantitative aptitude | Calculated (new numbers every set) |