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SAT Averages & Statistics Questions
Practise averages & statistics (quantitative aptitude) for the SAT (Digital): 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.The average of 9 numbers is 52. If 84 is added, what is the new average?
Show answer & explanation
Answer: D — 55.2
Old total = 9 × 52 = 468. New total = 468 + 84 = 552; new average = 552/10 = 55.2.
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Q2.Find the median of: 9, 13, 22, 18, 20, 29, 34
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Answer: C — 20
Sorted: 9, 13, 18, 20, 22, 29, 34. The middle (4th) value is 20.
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Q3.Find the range of: 19, 4, 32, 24, 13, 19, 4
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Answer: A — 28
Range = max − min = 32 − 4 = 28.
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Q4.Find the median of: 27, 5, 31, 23, 16, 27, 19
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Answer: D — 23
Sorted: 5, 16, 19, 23, 27, 27, 31. The middle (4th) value is 23.
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Q5.The average of 11 numbers is 34. If 48 is added, what is the new average?
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Answer: C — 35.17
Old total = 11 × 34 = 374. New total = 374 + 48 = 422; new average = 422/12 = 35.17.
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Q6.The average of 5 numbers is 35. If 69 is added, what is the new average?
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Answer: B — 40.67
Old total = 5 × 35 = 175. New total = 175 + 69 = 244; new average = 244/6 = 40.67.
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Q7.Find the mean of: 6, 24, 3, 13, 27, 24, 40
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Answer: B — 19.57
Sum = 137, ÷ 7 = 19.57.
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Q8.Find the range of: 4, 22, 13, 7, 14, 16, 21
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Answer: B — 18
Range = max − min = 22 − 4 = 18.
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Q9.The average of 9 numbers is 37. If 60 is added, what is the new average?
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Answer: C — 39.3
Old total = 9 × 37 = 333. New total = 333 + 60 = 393; new average = 393/10 = 39.3.
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Q10.The average of 10 numbers is 44. If 72 is added, what is the new average?
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Answer: B — 46.55
Old total = 10 × 44 = 440. New total = 440 + 72 = 512; new average = 512/11 = 46.55.
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 SAT
SAT (Digital) — conducted by College Board. The US college admission test with Reading & Writing and Math sections, now delivered digitally.
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.
SAT practice topics
| Topic | Section | Question source |
|---|---|---|
| Algebra | Mathematics | Calculated (new numbers every set) |
| Geometry & Mensuration | Mathematics | Calculated (new numbers every set) |
| Percentages | Quantitative aptitude | Calculated (new numbers every set) |
| Averages & Statistics | Quantitative aptitude | Calculated (new numbers every set) |
| English Grammar | English | Question bank |
| Vocabulary & Idioms | English | Question bank |