- No data uploaded
- Instant results
CMA Foundation Averages & Statistics Questions
Practise averages & statistics (quantitative aptitude) for the Cost & Management Accountancy Foundation Examination: 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 range of: 23, 9, 13, 30, 22, 33, 35
Show answer & explanation
Answer: C — 26
Range = max − min = 35 − 9 = 26.
-
Q2.Find the range of: 10, 21, 3, 28, 33, 22, 12
Show answer & explanation
Answer: D — 30
Range = max − min = 33 − 3 = 30.
-
Q3.The average of 6 numbers is 65. If 105 is added, what is the new average?
Show answer & explanation
Answer: B — 70.71
Old total = 6 × 65 = 390. New total = 390 + 105 = 495; new average = 495/7 = 70.71.
-
Q4.The average of 9 numbers is 50. If 79 is added, what is the new average?
Show answer & explanation
Answer: A — 52.9
Old total = 9 × 50 = 450. New total = 450 + 79 = 529; new average = 529/10 = 52.9.
-
Q5.Find the median of: 20, 16, 31, 38, 7, 14, 20
Show answer & explanation
Answer: C — 20
Sorted: 7, 14, 16, 20, 20, 31, 38. The middle (4th) value is 20.
-
Q6.The average of 11 numbers is 29. If 61 is added, what is the new average?
Show answer & explanation
Answer: D — 31.67
Old total = 11 × 29 = 319. New total = 319 + 61 = 380; new average = 380/12 = 31.67.
-
Q7.Find the mean of: 35, 27, 38, 17, 34, 2, 3
Show answer & explanation
Answer: A — 22.29
Sum = 156, ÷ 7 = 22.29.
-
Q8.The average of 12 numbers is 34. If 55 is added, what is the new average?
Show answer & explanation
Answer: A — 35.62
Old total = 12 × 34 = 408. New total = 408 + 55 = 463; new average = 463/13 = 35.62.
-
Q9.The average of 9 numbers is 77. If 89 is added, what is the new average?
Show answer & explanation
Answer: D — 78.2
Old total = 9 × 77 = 693. New total = 693 + 89 = 782; new average = 782/10 = 78.2.
-
Q10.Find the range of: 3, 39, 4, 25, 30, 28, 35
Show answer & explanation
Answer: B — 36
Range = max − min = 39 − 3 = 36.
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 CMA Foundation
Cost & Management Accountancy Foundation Examination — conducted by Institute of Cost Accountants of India (ICMAI). The entry level of the CMA course, covering accounting, law, business mathematics and statistics.
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.
CMA Foundation practice topics
| Topic | Section | Question source |
|---|---|---|
| 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) |
| Economy & Banking Awareness | General awareness | Question bank |