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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 117 · 40 questions
TalentJR

How to solve it (Work with totals): Mean = total ÷ how many; so total = mean × how many. Median: put the numbers in order and take the middle one. Mode: the number that appears most often. A number added: new mean = (old total + the number) ÷ (how many + 1).

NameDateTime takenScore ___ / 40
  1. 1.What is the mode of 14, 14, 6, 20, 15, 14 and 6? (a) 20 (b) 6 (c) 15 (d) 14
  2. 2.What is the median of 7, 2, 4, 17, 23, 14 and 24? (a) 17 (b) 13 (c) 14 (d) 7
  3. 3.The mean of 3 numbers is 10. When the number 18 is added to them, what is the new mean? (a) 10 (b) 12 (c) 13 (d) 14
  4. 4.What is the median of 39, 9, 13, 26, 37, 17 and 18? (a) 26 (b) 17 (c) 19 (d) 18
  5. 5.What is the mean of 18, 9, 10, 9, 18 and 8? (a) 14 (b) 13 (c) 11 (d) 12
  6. 6.What is the mean of 13, 19, 20 and 20? (a) 17 (b) 24 (c) 18 (d) 19
  7. 7.What is the median of 1, 22, 37, 5, 34, 17 and 11? (a) 5 (b) 11 (c) 22 (d) 17
  8. 8.The mean of 4 numbers is 28. When the number 33 is added to them, what is the new mean? (a) 30 (b) 31 (c) 28 (d) 29
  9. 9.What is the mean of 7, 4, 10, 20 and 9? (a) 11 (b) 10 (c) 12 (d) 9
  10. 10.What is the median of 12, 27, 32, 10 and 7? (a) 32 (b) 12 (c) 10 (d) 27
  11. 11.The mean of 8 numbers is 23. When the number 14 is added to them, what is the new mean? (a) 23 (b) 21 (c) 24 (d) 22
  12. 12.What is the median of 32, 4, 9, 2, 18, 38 and 13? (a) 18 (b) 2 (c) 13 (d) 9
  13. 13.What is the mode of 15, 20, 20, 3, 2, 15 and 15? (a) 15 (b) 2 (c) 3 (d) 20
  14. 14.What is the median of 32, 33, 5, 14 and 36? (a) 33 (b) 24 (c) 32 (d) 5
  15. 15.What is the mean of 17, 5, 3, 7 and 8? (a) 8 (b) 7 (c) 9 (d) 10
  16. 16.What is the median of 7, 22, 35, 36 and 2? (a) 22 (b) 23 (c) 35 (d) 7
  17. 17.What is the mean of 5, 13, 8, 16, 11 and 7? (a) 10 (b) 11 (c) 9 (d) 12
  18. 18.The mean of 7 numbers is 18. When the number 42 is added to them, what is the new mean? (a) 22 (b) 18 (c) 21 (d) 30
  19. 19.What is the median of 10, 11, 17, 19, 38, 37 and 22? (a) 19 (b) 22 (c) 20 (d) 17
  20. 20.What is the mode of 17, 7, 17, 7, 4, 7 and 14? (a) 4 (b) 17 (c) 14 (d) 7
  21. 21.The mean of 9 numbers is 39. When the number 29 is added to them, what is the new mean? (a) 38 (b) 37 (c) 39 (d) 34
  22. 22.What is the mode of 11, 10, 10, 17, 7, 10 and 17? (a) 17 (b) 10 (c) 11 (d) 7
  23. 23.What is the mean of 17, 6, 2, 4 and 16? (a) 9 (b) 8 (c) 10 (d) 11
  24. 24.The mean of 8 numbers is 26. When the number 62 is added to them, what is the new mean? (a) 30 (b) 44 (c) 26 (d) 31
  25. 25.What is the median of 15, 37, 34, 24, 11, 17 and 7? (a) 18 (b) 17 (c) 24 (d) 15
  26. 26.The mean of 3 numbers is 26. When the number 38 is added to them, what is the new mean? (a) 32 (b) 30 (c) 26 (d) 29
  27. 27.What is the median of 15, 40, 30, 36 and 12? (a) 36 (b) 15 (c) 30 (d) 31
  28. 28.What is the mode of 8, 19, 20, 8, 20, 8 and 5? (a) 5 (b) 19 (c) 20 (d) 8
  29. 29.What is the mean of 2, 5, 12, 14, 5 and 10? (a) 8 (b) 7 (c) 9 (d) 10
  30. 30.The mean of 4 numbers is 22. When the number 12 is added to them, what is the new mean? (a) 22 (b) 17 (c) 20 (d) 21
  31. 31.What is the mean of 19, 5, 12 and 16? (a) 12 (b) 15 (c) 13 (d) 14
  32. 32.What is the mean of 8, 7, 11 and 10? (a) 9 (b) 12 (c) 10 (d) 8
  33. 33.What is the mean of 10, 20, 13, 8, 6 and 21? (a) 12 (b) 15 (c) 14 (d) 13
  34. 34.What is the mean of 9, 2, 14, 9 and 6? (a) 10 (b) 7 (c) 9 (d) 8
  35. 35.What is the mean of 11, 14, 13, 11, 7 and 4? (a) 10 (b) 11 (c) 9 (d) 12
  36. 36.What is the median of 10, 35, 15, 31 and 37? (a) 32 (b) 31 (c) 15 (d) 35
  37. 37.The mean of 3 numbers is 11. When the number 7 is added to them, what is the new mean? (a) 12 (b) 10 (c) 11 (d) 9
  38. 38.What is the median of 11, 8, 12, 36, 10, 9 and 23? (a) 36 (b) 12 (c) 11 (d) 10
  39. 39.What is the mode of 8, 16, 18, 3, 3, 8 and 8? (a) 18 (b) 8 (c) 16 (d) 3
  40. 40.What is the median of 17, 29, 9, 38, 6, 36 and 40? (a) 36 (b) 29 (c) 38 (d) 25

Answer key

  1. 14
  2. 14
  3. 12
  4. 18
  5. 12
  6. 18
  7. 17
  8. 29
  9. 10
  10. 12
  11. 22
  12. 13
  13. 15
  14. 32
  15. 8
  16. 22
  17. 10
  18. 21
  19. 19
  20. 7
  21. 38
  22. 10
  23. 9
  24. 30
  25. 17
  26. 29
  27. 30
  28. 8
  29. 8
  30. 20
  31. 13
  32. 9
  33. 13
  34. 8
  35. 10
  36. 31
  37. 10
  38. 11
  39. 8
  40. 29

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