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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 149 · 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 9, 6, 4, 15, 4, 6 and 6? (a) 6 (b) 15 (c) 9 (d) 4
  2. 2.What is the mean of 10, 19, 11 and 20? (a) 12 (b) 15 (c) 16 (d) 20
  3. 3.The mean of 6 numbers is 34. When the number 41 is added to them, what is the new mean? (a) 34 (b) 36 (c) 35 (d) 37
  4. 4.What is the median of 29, 4, 39, 30 and 23? (a) 30 (b) 29 (c) 25 (d) 39
  5. 5.What is the mean of 17, 5, 9, 8 and 21? (a) 13 (b) 12 (c) 10 (d) 15
  6. 6.What is the mode of 1, 17, 8, 17, 17, 6 and 1? (a) 17 (b) 1 (c) 6 (d) 8
  7. 7.What is the mean of 4, 9, 8, 16, 8 and 9? (a) 10 (b) 11 (c) 9 (d) 8
  8. 8.The mean of 7 numbers is 30. When the number 46 is added to them, what is the new mean? (a) 32 (b) 30 (c) 33 (d) 38
  9. 9.What is the mode of 7, 11, 11, 7, 14, 11 and 20? (a) 11 (b) 20 (c) 14 (d) 7
  10. 10.What is the mean of 2, 3, 20, 6 and 9? (a) 7 (b) 9 (c) 10 (d) 8
  11. 11.The mean of 6 numbers is 32. When the number 53 is added to them, what is the new mean? (a) 34 (b) 36 (c) 35 (d) 32
  12. 12.What is the mean of 8, 11, 18, 12 and 11? (a) 15 (b) 13 (c) 10 (d) 12
  13. 13.What is the mode of 20, 11, 10, 20, 7, 20 and 11? (a) 11 (b) 7 (c) 10 (d) 20
  14. 14.What is the median of 7, 23, 34, 30 and 11? (a) 21 (b) 23 (c) 34 (d) 30
  15. 15.What is the mode of 15, 13, 15, 13, 20, 15 and 17? (a) 15 (b) 13 (c) 17 (d) 20
  16. 16.What is the mean of 6, 12, 17, 3, 15 and 13? (a) 12 (b) 13 (c) 11 (d) 10
  17. 17.What is the median of 39, 12, 19, 7 and 10? (a) 19 (b) 12 (c) 13 (d) 10
  18. 18.What is the mean of 11, 6, 9 and 22? (a) 12 (b) 11 (c) 13 (d) 16
  19. 19.What is the mean of 20, 4, 7, 15 and 14? (a) 15 (b) 10 (c) 13 (d) 12
  20. 20.What is the median of 4, 10, 20, 16, 9, 21 and 40? (a) 20 (b) 10 (c) 16 (d) 17
  21. 21.What is the mean of 16, 2, 4, 13 and 15? (a) 12 (b) 10 (c) 11 (d) 9
  22. 22.What is the mean of 12, 4, 17 and 15? (a) 11 (b) 13 (c) 12 (d) 16
  23. 23.What is the mean of 18, 6, 16, 7 and 18? (a) 14 (b) 13 (c) 15 (d) 12
  24. 24.What is the median of 11, 4, 14, 33, 15, 7 and 35? (a) 14 (b) 15 (c) 17 (d) 33
  25. 25.What is the mean of 2, 9, 3, 5 and 6? (a) 5 (b) 6 (c) 7 (d) 4
  26. 26.What is the median of 10, 2, 33, 31, 27, 35 and 5? (a) 31 (b) 10 (c) 27 (d) 28
  27. 27.The mean of 4 numbers is 26. When the number 6 is added to them, what is the new mean? (a) 26 (b) 22 (c) 23 (d) 16
  28. 28.The mean of 3 numbers is 33. When the number 17 is added to them, what is the new mean? (a) 33 (b) 29 (c) 30 (d) 25
  29. 29.What is the mode of 4, 8, 4, 12, 8, 3 and 4? (a) 4 (b) 8 (c) 3 (d) 12
  30. 30.What is the mean of 10, 13, 11, 13, 8 and 5? (a) 11 (b) 12 (c) 9 (d) 10
  31. 31.The mean of 3 numbers is 32. When the number 28 is added to them, what is the new mean? (a) 30 (b) 32 (c) 33 (d) 31
  32. 32.What is the mode of 16, 20, 20, 4, 20, 1 and 4? (a) 4 (b) 1 (c) 20 (d) 16
  33. 33.What is the mean of 7, 18, 9 and 14? (a) 11 (b) 13 (c) 16 (d) 12
  34. 34.The mean of 5 numbers is 19. When the number 31 is added to them, what is the new mean? (a) 25 (b) 22 (c) 19 (d) 21
  35. 35.What is the mode of 12, 16, 20, 7, 20, 12 and 20? (a) 7 (b) 12 (c) 16 (d) 20
  36. 36.What is the mean of 16, 6, 20, 14 and 9? (a) 13 (b) 15 (c) 14 (d) 12
  37. 37.What is the mode of 4, 8, 5, 17, 17, 8 and 17? (a) 8 (b) 17 (c) 4 (d) 5
  38. 38.What is the mean of 14, 9, 19 and 14? (a) 13 (b) 16 (c) 14 (d) 15
  39. 39.The mean of 6 numbers is 24. When the number 10 is added to them, what is the new mean? (a) 23 (b) 17 (c) 22 (d) 24
  40. 40.What is the mean of 15, 12, 9, 2, 6 and 10? (a) 10 (b) 11 (c) 9 (d) 8

Answer key

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

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