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CA Foundation Averages & Statistics Questions
Practise averages & statistics (quantitative aptitude) for the Chartered 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
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Q1.Find the range of: 37, 9, 3, 2, 15, 35, 30
Show answer & explanation
Answer: D — 35
Range = max − min = 37 − 2 = 35.
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Q2.The average of 8 numbers is 40. If 57 is added, what is the new average?
Show answer & explanation
Answer: A — 41.89
Old total = 8 × 40 = 320. New total = 320 + 57 = 377; new average = 377/9 = 41.89.
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Q3.Find the median of: 34, 4, 34, 27, 6, 14, 37
Show answer & explanation
Answer: D — 27
Sorted: 4, 6, 14, 27, 34, 34, 37. The middle (4th) value is 27.
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Q4.The average of 6 numbers is 23. If 31 is added, what is the new average?
Show answer & explanation
Answer: B — 24.14
Old total = 6 × 23 = 138. New total = 138 + 31 = 169; new average = 169/7 = 24.14.
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Q5.Find the median of: 7, 15, 30, 34, 13, 36, 27
Show answer & explanation
Answer: C — 27
Sorted: 7, 13, 15, 27, 30, 34, 36. The middle (4th) value is 27.
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Q6.Find the mean of: 20, 39, 3, 12, 13, 5, 34
Show answer & explanation
Answer: C — 18
Sum = 126, ÷ 7 = 18.
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Q7.The average of 10 numbers is 79. If 112 is added, what is the new average?
Show answer & explanation
Answer: B — 82
Old total = 10 × 79 = 790. New total = 790 + 112 = 902; new average = 902/11 = 82.
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Q8.The average of 5 numbers is 70. If 110 is added, what is the new average?
Show answer & explanation
Answer: A — 76.67
Old total = 5 × 70 = 350. New total = 350 + 110 = 460; new average = 460/6 = 76.67.
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Q9.Find the range of: 33, 33, 34, 34, 22, 8, 31
Show answer & explanation
Answer: A — 26
Range = max − min = 34 − 8 = 26.
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Q10.Find the median of: 35, 17, 33, 15, 11, 37, 36
Show answer & explanation
Answer: A — 33
Sorted: 11, 15, 17, 33, 35, 36, 37. The middle (4th) value is 33.
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 CA Foundation
Chartered Accountancy Foundation Examination — conducted by Institute of Chartered Accountants of India (ICAI). The entry level of the CA course: accounting, business laws, quantitative aptitude and business economics.
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.
CA 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) |
| Logical Reasoning | Reasoning | Calculated (new numbers every set) |
| Economy & Banking Awareness | General awareness | Question bank |