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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 622 · 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 4, 4, 7, 3, 4, 14 and 7? (a) 14 (b) 7 (c) 3 (d) 4
  2. 2.What is the mean of 14, 15, 9, 9, 9 and 10? (a) 13 (b) 11 (c) 12 (d) 10
  3. 3.What is the mean of 17, 16, 12, 4, 2 and 9? (a) 12 (b) 9 (c) 10 (d) 11
  4. 4.What is the mean of 3, 6, 2 and 17? (a) 6 (b) 7 (c) 9 (d) 8
  5. 5.What is the mode of 20, 14, 4, 4, 20, 20 and 18? (a) 14 (b) 4 (c) 18 (d) 20
  6. 6.The mean of 4 numbers is 16. When the number 1 is added to them, what is the new mean? (a) 12 (b) 14 (c) 13 (d) 16
  7. 7.What is the mean of 15, 9, 17 and 15? (a) 15 (b) 16 (c) 13 (d) 14
  8. 8.What is the mean of 10, 8, 5 and 5? (a) 8 (b) 6 (c) 7 (d) 9
  9. 9.What is the mode of 7, 19, 12, 11, 11, 12 and 11? (a) 12 (b) 19 (c) 7 (d) 11
  10. 10.What is the mean of 12, 7, 16 and 9? (a) 12 (b) 11 (c) 10 (d) 13
  11. 11.The mean of 8 numbers is 29. When the number 2 is added to them, what is the new mean? (a) 27 (b) 25 (c) 29 (d) 26
  12. 12.What is the mean of 8, 13, 15 and 8? (a) 12 (b) 10 (c) 11 (d) 13
  13. 13.What is the mean of 6, 6, 8 and 16? (a) 10 (b) 8 (c) 9 (d) 12
  14. 14.What is the median of 18, 4, 13, 24 and 7? (a) 18 (b) 13 (c) 7 (d) 14
  15. 15.What is the mode of 12, 16, 5, 11, 16, 16 and 12? (a) 11 (b) 5 (c) 12 (d) 16
  16. 16.The mean of 6 numbers is 25. When the number 53 is added to them, what is the new mean? (a) 39 (b) 29 (c) 30 (d) 25
  17. 17.What is the mode of 18, 11, 9, 12, 18, 12 and 18? (a) 18 (b) 12 (c) 9 (d) 11
  18. 18.What is the mode of 1, 7, 11, 5, 5, 11 and 11? (a) 7 (b) 5 (c) 1 (d) 11
  19. 19.What is the mode of 10, 15, 7, 10, 8, 15 and 15? (a) 7 (b) 10 (c) 15 (d) 8
  20. 20.What is the median of 4, 27, 14, 3 and 16? (a) 4 (b) 15 (c) 16 (d) 14
  21. 21.What is the mean of 15, 7, 5 and 9? (a) 8 (b) 9 (c) 12 (d) 10
  22. 22.What is the mode of 2, 1, 9, 2, 3, 2 and 1? (a) 9 (b) 3 (c) 1 (d) 2
  23. 23.What is the mode of 4, 6, 8, 4, 6, 13 and 6? (a) 8 (b) 13 (c) 4 (d) 6
  24. 24.What is the median of 23, 4, 3, 9 and 17? (a) 4 (b) 17 (c) 9 (d) 3
  25. 25.The mean of 5 numbers is 19. When the number 1 is added to them, what is the new mean? (a) 19 (b) 16 (c) 17 (d) 10
  26. 26.What is the mean of 8, 18, 9, 19, 4 and 8? (a) 10 (b) 12 (c) 11 (d) 13
  27. 27.What is the mode of 13, 20, 2, 2, 16, 20 and 2? (a) 13 (b) 20 (c) 16 (d) 2
  28. 28.What is the mode of 16, 5, 13, 13, 5, 19 and 5? (a) 5 (b) 13 (c) 16 (d) 19
  29. 29.What is the median of 14, 30, 23, 21, 20, 28 and 2? (a) 20 (b) 23 (c) 21 (d) 22
  30. 30.What is the mean of 10, 2, 12, 17, 20 and 5? (a) 10 (b) 12 (c) 13 (d) 11
  31. 31.What is the mean of 15, 17, 17 and 15? (a) 15 (b) 18 (c) 16 (d) 17
  32. 32.The mean of 6 numbers is 19. When the number 12 is added to them, what is the new mean? (a) 17 (b) 19 (c) 20 (d) 18
  33. 33.The mean of 4 numbers is 18. When the number 28 is added to them, what is the new mean? (a) 21 (b) 23 (c) 18 (d) 20
  34. 34.What is the mode of 10, 10, 18, 2, 18, 18 and 13? (a) 18 (b) 10 (c) 2 (d) 13
  35. 35.What is the median of 5, 24, 37, 22 and 15? (a) 37 (b) 22 (c) 15 (d) 24
  36. 36.What is the median of 35, 38, 39, 1 and 11? (a) 39 (b) 35 (c) 38 (d) 11
  37. 37.The mean of 8 numbers is 28. When the number 55 is added to them, what is the new mean? (a) 32 (b) 31 (c) 28 (d) 30
  38. 38.The mean of 5 numbers is 26. When the number 32 is added to them, what is the new mean? (a) 29 (b) 28 (c) 26 (d) 27
  39. 39.What is the mode of 4, 15, 1, 20, 15, 15 and 4? (a) 20 (b) 1 (c) 4 (d) 15
  40. 40.What is the mode of 6, 20, 20, 20, 14, 17 and 14? (a) 14 (b) 17 (c) 20 (d) 6

Answer key

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

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