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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 49 · 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 18, 15, 18, 6, 18, 6 and 7? (a) 7 (b) 6 (c) 15 (d) 18
  2. 2.What is the median of 2, 27, 8, 15 and 32? (a) 27 (b) 15 (c) 16 (d) 8
  3. 3.What is the mean of 3, 11, 9, 16 and 6? (a) 10 (b) 8 (c) 11 (d) 9
  4. 4.What is the median of 20, 17, 21, 15 and 40? (a) 17 (b) 19 (c) 21 (d) 20
  5. 5.The mean of 8 numbers is 32. When the number 23 is added to them, what is the new mean? (a) 31 (b) 32 (c) 33 (d) 30
  6. 6.What is the mean of 18, 19, 10, 17, 20 and 6? (a) 16 (b) 18 (c) 14 (d) 15
  7. 7.What is the mode of 1, 3, 3, 1, 15, 12 and 1? (a) 12 (b) 15 (c) 3 (d) 1
  8. 8.What is the median of 5, 12, 2, 3 and 22? (a) 3 (b) 5 (c) 12 (d) 2
  9. 9.The mean of 7 numbers is 19. When the number 11 is added to them, what is the new mean? (a) 15 (b) 17 (c) 18 (d) 19
  10. 10.What is the mean of 2, 9, 20, 3, 20 and 6? (a) 10 (b) 9 (c) 11 (d) 12
  11. 11.The mean of 8 numbers is 25. When the number 34 is added to them, what is the new mean? (a) 25 (b) 26 (c) 28 (d) 27
  12. 12.What is the mode of 4, 9, 9, 9, 20, 20 and 10? (a) 10 (b) 4 (c) 20 (d) 9
  13. 13.The mean of 8 numbers is 39. When the number 12 is added to them, what is the new mean? (a) 35 (b) 39 (c) 37 (d) 36
  14. 14.The mean of 8 numbers is 24. When the number 60 is added to them, what is the new mean? (a) 29 (b) 28 (c) 24 (d) 42
  15. 15.The mean of 8 numbers is 39. When the number 75 is added to them, what is the new mean? (a) 57 (b) 39 (c) 44 (d) 43
  16. 16.What is the mode of 1, 5, 9, 7, 7, 1 and 7? (a) 7 (b) 9 (c) 5 (d) 1
  17. 17.What is the mode of 8, 5, 2, 8, 3, 2 and 8? (a) 5 (b) 2 (c) 3 (d) 8
  18. 18.What is the mode of 11, 11, 20, 11, 10, 16 and 16? (a) 10 (b) 20 (c) 16 (d) 11
  19. 19.What is the median of 17, 20, 40, 5, 19, 10 and 35? (a) 20 (b) 17 (c) 5 (d) 19
  20. 20.What is the median of 9, 36, 8, 16 and 10? (a) 8 (b) 9 (c) 16 (d) 10
  21. 21.What is the median of 9, 35, 29, 32 and 38? (a) 35 (b) 32 (c) 29 (d) 33
  22. 22.What is the mode of 16, 13, 16, 12, 3, 12 and 16? (a) 13 (b) 16 (c) 12 (d) 3
  23. 23.The mean of 8 numbers is 19. When the number 37 is added to them, what is the new mean? (a) 22 (b) 19 (c) 21 (d) 28
  24. 24.What is the mode of 7, 11, 17, 11, 17, 6 and 11? (a) 7 (b) 17 (c) 11 (d) 6
  25. 25.What is the mean of 3, 13, 2 and 18? (a) 12 (b) 9 (c) 8 (d) 10
  26. 26.What is the median of 7, 5, 36, 29 and 8? (a) 17 (b) 8 (c) 29 (d) 36
  27. 27.What is the mean of 16, 11, 5, 18, 16 and 12? (a) 14 (b) 12 (c) 15 (d) 13
  28. 28.What is the mode of 4, 1, 1, 19, 15, 4 and 4? (a) 15 (b) 19 (c) 1 (d) 4
  29. 29.What is the mean of 2, 7, 16 and 15? (a) 9 (b) 11 (c) 10 (d) 8
  30. 30.What is the mode of 19, 5, 1, 19, 3, 1 and 19? (a) 5 (b) 19 (c) 1 (d) 3
  31. 31.What is the median of 29, 17, 18, 9, 25, 11 and 33? (a) 17 (b) 9 (c) 25 (d) 18
  32. 32.What is the mean of 20, 13, 18 and 13? (a) 15 (b) 18 (c) 16 (d) 17
  33. 33.What is the mode of 6, 1, 20, 9, 20, 9 and 9? (a) 9 (b) 1 (c) 6 (d) 20
  34. 34.What is the median of 36, 6, 16, 30, 32, 1 and 20? (a) 30 (b) 16 (c) 21 (d) 20
  35. 35.What is the median of 37, 5, 4, 18, 21, 19 and 32? (a) 18 (b) 21 (c) 20 (d) 19
  36. 36.What is the median of 6, 4, 3, 37, 22, 9 and 15? (a) 9 (b) 15 (c) 37 (d) 6
  37. 37.What is the mean of 16, 13, 14, 12, 17 and 12? (a) 15 (b) 14 (c) 12 (d) 13
  38. 38.What is the mean of 18, 14, 19, 14, 10 and 9? (a) 12 (b) 15 (c) 14 (d) 13
  39. 39.What is the mean of 15, 19, 14, 17 and 10? (a) 15 (b) 14 (c) 17 (d) 16
  40. 40.What is the mean of 12, 7, 19, 19 and 8? (a) 14 (b) 12 (c) 15 (d) 13

Answer key

  1. 18
  2. 15
  3. 9
  4. 20
  5. 31
  6. 15
  7. 1
  8. 5
  9. 18
  10. 10
  11. 26
  12. 9
  13. 36
  14. 28
  15. 43
  16. 7
  17. 8
  18. 11
  19. 19
  20. 10
  21. 32
  22. 16
  23. 21
  24. 11
  25. 9
  26. 8
  27. 13
  28. 4
  29. 10
  30. 19
  31. 18
  32. 16
  33. 9
  34. 20
  35. 19
  36. 9
  37. 14
  38. 14
  39. 15
  40. 13

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