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CCAT Averages & Statistics Questions
Practise averages & statistics (quantitative aptitude) for the Criteria Cognitive Aptitude Test (CCAT): 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 mean of: 20, 13, 14, 32, 27, 8, 14
Show answer & explanation
Answer: D — 18.29
Sum = 128, ÷ 7 = 18.29.
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Q2.The average of 8 numbers is 27. If 57 is added, what is the new average?
Show answer & explanation
Answer: B — 30.33
Old total = 8 × 27 = 216. New total = 216 + 57 = 273; new average = 273/9 = 30.33.
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Q3.Find the mean of: 32, 4, 21, 11, 2, 34, 22
Show answer & explanation
Answer: B — 18
Sum = 126, ÷ 7 = 18.
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Q4.The average of 9 numbers is 77. If 115 is added, what is the new average?
Show answer & explanation
Answer: C — 80.8
Old total = 9 × 77 = 693. New total = 693 + 115 = 808; new average = 808/10 = 80.8.
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Q5.The average of 11 numbers is 31. If 41 is added, what is the new average?
Show answer & explanation
Answer: D — 31.83
Old total = 11 × 31 = 341. New total = 341 + 41 = 382; new average = 382/12 = 31.83.
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Q6.Find the range of: 29, 21, 16, 39, 12, 31, 33
Show answer & explanation
Answer: D — 27
Range = max − min = 39 − 12 = 27.
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Q7.Find the mean of: 28, 24, 23, 33, 4, 12, 24
Show answer & explanation
Answer: C — 21.14
Sum = 148, ÷ 7 = 21.14.
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Q8.The average of 8 numbers is 78. If 95 is added, what is the new average?
Show answer & explanation
Answer: B — 79.89
Old total = 8 × 78 = 624. New total = 624 + 95 = 719; new average = 719/9 = 79.89.
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Q9.Find the range of: 40, 37, 39, 2, 19, 34, 36
Show answer & explanation
Answer: C — 38
Range = max − min = 40 − 2 = 38.
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Q10.Find the median of: 33, 25, 26, 31, 20, 40, 30
Show answer & explanation
Answer: B — 30
Sorted: 20, 25, 26, 30, 31, 33, 40. The middle (4th) value is 30.
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 CCAT
Criteria Cognitive Aptitude Test (CCAT) — conducted by Criteria Corp (pre-employment test publisher). A 15-minute, 50-question pre-employment aptitude test used by thousands of employers to measure problem-solving, verbal, math and logic, and spatial reasoning. The average raw score is about 24 out of 50.
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.
CCAT practice topics
| Topic | Section | Question source |
|---|---|---|
| Verbal Reasoning & Analogies | Reasoning | Calculated + question bank |
| Vocabulary & Idioms | English | Question bank |
| Logical Reasoning | Reasoning | Calculated (new numbers every set) |
| Spatial Reasoning | Reasoning | Calculated (new numbers every set) |
| Number System & Simplification | Quantitative aptitude | Calculated (new numbers every set) |
| Percentages | Quantitative aptitude | Calculated (new numbers every set) |
| Ratio, Ages & Mixtures | Quantitative aptitude | Calculated (new numbers every set) |
| Speed, Distance, Trains & Boats | Quantitative aptitude | Calculated (new numbers every set) |
| Averages & Statistics | Quantitative aptitude | Calculated (new numbers every set) |
| Data Interpretation | Data interpretation | Calculated (new numbers every set) |