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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 815 · 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 mean of 9, 3, 10 and 14? (a) 9 (b) 8 (c) 12 (d) 10
  2. 2.What is the median of 32, 9, 37, 3, 35, 8 and 12? (a) 3 (b) 32 (c) 12 (d) 9
  3. 3.What is the mode of 15, 6, 6, 15, 5, 10 and 15? (a) 6 (b) 10 (c) 5 (d) 15
  4. 4.What is the mean of 18, 4, 2 and 20? (a) 13 (b) 10 (c) 12 (d) 11
  5. 5.What is the mode of 10, 8, 10, 17, 7, 10 and 7? (a) 7 (b) 10 (c) 8 (d) 17
  6. 6.What is the mode of 20, 13, 13, 8, 17, 20 and 13? (a) 13 (b) 20 (c) 17 (d) 8
  7. 7.The mean of 3 numbers is 29. When the number 41 is added to them, what is the new mean? (a) 33 (b) 32 (c) 29 (d) 35
  8. 8.The mean of 5 numbers is 17. When the number 29 is added to them, what is the new mean? (a) 23 (b) 20 (c) 17 (d) 19
  9. 9.What is the mode of 9, 13, 15, 15, 15, 5 and 9? (a) 9 (b) 13 (c) 15 (d) 5
  10. 10.What is the mode of 18, 13, 18, 10, 13, 18 and 1? (a) 10 (b) 13 (c) 18 (d) 1
  11. 11.The mean of 4 numbers is 19. When the number 4 is added to them, what is the new mean? (a) 15 (b) 19 (c) 16 (d) 17
  12. 12.What is the mean of 5, 14, 3, 3 and 20? (a) 11 (b) 9 (c) 8 (d) 10
  13. 13.What is the mode of 1, 18, 1, 19, 14, 19 and 1? (a) 18 (b) 1 (c) 14 (d) 19
  14. 14.What is the median of 27, 31, 38, 35 and 25? (a) 38 (b) 27 (c) 35 (d) 31
  15. 15.What is the mean of 4, 16, 3 and 17? (a) 8 (b) 11 (c) 10 (d) 9
  16. 16.What is the median of 21, 12, 2, 4, 17, 29 and 39? (a) 12 (b) 17 (c) 21 (d) 4
  17. 17.What is the mode of 2, 11, 1, 12, 2, 1 and 2? (a) 1 (b) 12 (c) 11 (d) 2
  18. 18.What is the median of 13, 25, 6, 26 and 35? (a) 26 (b) 6 (c) 21 (d) 25
  19. 19.What is the mean of 11, 13, 16 and 16? (a) 14 (b) 15 (c) 13 (d) 16
  20. 20.What is the median of 1, 14, 5, 21, 7, 6 and 18? (a) 14 (b) 6 (c) 7 (d) 21
  21. 21.What is the median of 33, 16, 4, 40, 1, 35 and 15? (a) 40 (b) 16 (c) 33 (d) 15
  22. 22.What is the mean of 3, 2, 19 and 8? (a) 7 (b) 9 (c) 10 (d) 8
  23. 23.The mean of 5 numbers is 16. When the number 22 is added to them, what is the new mean? (a) 18 (b) 19 (c) 17 (d) 16
  24. 24.What is the mode of 20, 15, 15, 14, 16, 15 and 20? (a) 20 (b) 14 (c) 15 (d) 16
  25. 25.What is the mean of 14, 15, 16 and 7? (a) 14 (b) 15 (c) 12 (d) 13
  26. 26.What is the median of 11, 1, 37, 40 and 19? (a) 19 (b) 20 (c) 37 (d) 11
  27. 27.The mean of 5 numbers is 39. When the number 21 is added to them, what is the new mean? (a) 30 (b) 37 (c) 39 (d) 36
  28. 28.What is the median of 5, 34, 37, 2 and 11? (a) 11 (b) 34 (c) 5 (d) 37
  29. 29.The mean of 4 numbers is 34. When the number 54 is added to them, what is the new mean? (a) 44 (b) 38 (c) 39 (d) 34
  30. 30.What is the median of 9, 10, 13, 22 and 20? (a) 14 (b) 10 (c) 13 (d) 20
  31. 31.What is the median of 22, 36, 5, 40 and 7? (a) 36 (b) 7 (c) 5 (d) 22
  32. 32.What is the mean of 6, 3, 8, 5 and 18? (a) 8 (b) 7 (c) 10 (d) 9
  33. 33.What is the mode of 9, 17, 17, 9, 17, 15 and 19? (a) 17 (b) 19 (c) 9 (d) 15
  34. 34.The mean of 7 numbers is 18. When the number 10 is added to them, what is the new mean? (a) 17 (b) 16 (c) 18 (d) 14
  35. 35.What is the median of 6, 8, 26, 10 and 37? (a) 26 (b) 10 (c) 11 (d) 8
  36. 36.What is the median of 28, 32, 18, 40, 7, 37 and 21? (a) 21 (b) 32 (c) 28 (d) 40
  37. 37.What is the mean of 3, 20, 2 and 19? (a) 12 (b) 13 (c) 11 (d) 10
  38. 38.What is the median of 33, 30, 36, 5, 12, 19 and 16? (a) 30 (b) 5 (c) 16 (d) 19
  39. 39.What is the median of 25, 23, 14, 18, 9, 16 and 10? (a) 17 (b) 18 (c) 14 (d) 16
  40. 40.What is the mean of 3, 10, 15, 12, 2 and 6? (a) 10 (b) 9 (c) 7 (d) 8

Answer key

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

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