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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 767 · 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 11, 6, 6, 16, 11, 6 and 7? (a) 16 (b) 7 (c) 11 (d) 6
  2. 2.What is the median of 34, 17, 29, 6 and 30? (a) 17 (b) 28 (c) 29 (d) 30
  3. 3.What is the median of 28, 33, 20, 10 and 16? (a) 16 (b) 21 (c) 20 (d) 28
  4. 4.What is the median of 20, 40, 25, 13 and 4? (a) 13 (b) 25 (c) 21 (d) 20
  5. 5.What is the mean of 5, 2, 12, 3 and 18? (a) 10 (b) 9 (c) 7 (d) 8
  6. 6.What is the mode of 6, 3, 6, 20, 16, 6 and 20? (a) 3 (b) 16 (c) 6 (d) 20
  7. 7.What is the mean of 2, 7, 11 and 20? (a) 9 (b) 8 (c) 11 (d) 10
  8. 8.The mean of 5 numbers is 22. When the number 16 is added to them, what is the new mean? (a) 19 (b) 21 (c) 20 (d) 22
  9. 9.The mean of 5 numbers is 19. When the number 43 is added to them, what is the new mean? (a) 24 (b) 23 (c) 31 (d) 19
  10. 10.The mean of 4 numbers is 19. When the number 29 is added to them, what is the new mean? (a) 19 (b) 24 (c) 21 (d) 22
  11. 11.What is the mean of 11, 17, 14, 7 and 21? (a) 13 (b) 14 (c) 15 (d) 16
  12. 12.What is the median of 10, 29, 35, 28 and 26? (a) 26 (b) 29 (c) 35 (d) 28
  13. 13.What is the mode of 18, 1, 12, 18, 10, 1 and 1? (a) 1 (b) 12 (c) 18 (d) 10
  14. 14.What is the median of 29, 35, 19, 7, 31, 13 and 4? (a) 7 (b) 13 (c) 19 (d) 29
  15. 15.What is the median of 2, 32, 14, 21 and 7? (a) 7 (b) 15 (c) 14 (d) 21
  16. 16.What is the median of 39, 8, 26, 17, 6, 37 and 29? (a) 29 (b) 27 (c) 26 (d) 17
  17. 17.What is the mean of 8, 7, 8 and 5? (a) 9 (b) 8 (c) 6 (d) 7
  18. 18.What is the mode of 18, 10, 10, 8, 1, 10 and 8? (a) 18 (b) 1 (c) 10 (d) 8
  19. 19.What is the median of 24, 15, 12, 11 and 5? (a) 13 (b) 15 (c) 12 (d) 11
  20. 20.What is the mode of 8, 3, 16, 16, 3, 5 and 3? (a) 8 (b) 16 (c) 5 (d) 3
  21. 21.What is the mean of 6, 14, 11, 14 and 10? (a) 13 (b) 10 (c) 12 (d) 11
  22. 22.What is the mode of 11, 3, 18, 3, 6, 18 and 3? (a) 3 (b) 11 (c) 6 (d) 18
  23. 23.What is the mode of 19, 15, 3, 15, 7, 19 and 15? (a) 7 (b) 19 (c) 3 (d) 15
  24. 24.What is the median of 21, 11, 14, 27, 33, 29 and 19? (a) 22 (b) 19 (c) 27 (d) 21
  25. 25.What is the mean of 8, 2, 12, 18, 15 and 11? (a) 12 (b) 10 (c) 13 (d) 11
  26. 26.What is the mode of 7, 8, 8, 9, 11, 9 and 8? (a) 9 (b) 11 (c) 8 (d) 7
  27. 27.What is the median of 3, 36, 2, 5, 25, 22 and 6? (a) 7 (b) 22 (c) 6 (d) 5
  28. 28.What is the mean of 15, 2, 12 and 19? (a) 11 (b) 12 (c) 13 (d) 16
  29. 29.The mean of 4 numbers is 24. When the number 14 is added to them, what is the new mean? (a) 19 (b) 22 (c) 24 (d) 23
  30. 30.What is the median of 37, 21, 1, 25, 26, 5 and 7? (a) 7 (b) 25 (c) 22 (d) 21
  31. 31.What is the mode of 11, 16, 11, 18, 9, 11 and 9? (a) 9 (b) 16 (c) 18 (d) 11
  32. 32.What is the mean of 3, 19, 9, 3, 10 and 10? (a) 10 (b) 11 (c) 9 (d) 8
  33. 33.What is the mean of 4, 20, 20 and 4? (a) 16 (b) 11 (c) 12 (d) 13
  34. 34.What is the mode of 8, 19, 5, 5, 15, 15 and 15? (a) 15 (b) 19 (c) 5 (d) 8
  35. 35.What is the median of 40, 2, 32, 25, 30, 17 and 14? (a) 26 (b) 30 (c) 17 (d) 25
  36. 36.What is the mean of 2, 17, 7 and 10? (a) 9 (b) 10 (c) 12 (d) 8
  37. 37.What is the median of 31, 3, 19, 18 and 9? (a) 19 (b) 9 (c) 16 (d) 18
  38. 38.What is the mode of 5, 10, 3, 9, 5, 5 and 9? (a) 9 (b) 10 (c) 5 (d) 3
  39. 39.What is the mode of 8, 8, 15, 17, 11, 11 and 11? (a) 17 (b) 8 (c) 15 (d) 11
  40. 40.The mean of 5 numbers is 32. When the number 8 is added to them, what is the new mean? (a) 32 (b) 28 (c) 20 (d) 29

Answer key

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

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