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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 218 · 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 2, 5, 13 and 20? (a) 8 (b) 10 (c) 9 (d) 11
  2. 2.What is the mean of 10, 19, 5, 12 and 4? (a) 9 (b) 12 (c) 10 (d) 11
  3. 3.What is the mean of 15, 14, 2, 11, 9 and 15? (a) 13 (b) 10 (c) 11 (d) 12
  4. 4.What is the mean of 8, 9, 3 and 4? (a) 7 (b) 8 (c) 6 (d) 5
  5. 5.What is the mode of 3, 10, 5, 10, 12, 3 and 3? (a) 3 (b) 12 (c) 10 (d) 5
  6. 6.What is the mode of 19, 4, 2, 19, 2, 9 and 2? (a) 4 (b) 9 (c) 19 (d) 2
  7. 7.What is the mode of 1, 19, 13, 1, 14, 1 and 13? (a) 14 (b) 19 (c) 13 (d) 1
  8. 8.What is the mode of 13, 12, 13, 13, 4, 4 and 19? (a) 4 (b) 12 (c) 13 (d) 19
  9. 9.What is the mean of 11, 6, 20, 8 and 15? (a) 10 (b) 12 (c) 13 (d) 15
  10. 10.What is the median of 11, 29, 37, 4 and 6? (a) 37 (b) 29 (c) 6 (d) 11
  11. 11.What is the mode of 6, 16, 8, 16, 8, 4 and 8? (a) 6 (b) 16 (c) 8 (d) 4
  12. 12.The mean of 5 numbers is 12. When the number 30 is added to them, what is the new mean? (a) 15 (b) 21 (c) 16 (d) 12
  13. 13.What is the median of 6, 28, 26, 10 and 18? (a) 18 (b) 26 (c) 19 (d) 10
  14. 14.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) 35 (d) 29
  15. 15.What is the median of 11, 14, 37, 8 and 1? (a) 37 (b) 14 (c) 8 (d) 11
  16. 16.What is the mean of 18, 19, 17, 2, 3 and 19? (a) 14 (b) 15 (c) 12 (d) 13
  17. 17.What is the mode of 15, 17, 15, 17, 15, 18 and 19? (a) 19 (b) 15 (c) 17 (d) 18
  18. 18.What is the median of 36, 4, 14, 11, 16, 39 and 2? (a) 15 (b) 14 (c) 11 (d) 16
  19. 19.What is the median of 18, 1, 13, 19, 29, 40 and 37? (a) 20 (b) 18 (c) 29 (d) 19
  20. 20.What is the mean of 6, 8, 15, 19 and 7? (a) 12 (b) 13 (c) 11 (d) 10
  21. 21.What is the mode of 20, 5, 14, 17, 5, 20 and 5? (a) 5 (b) 14 (c) 20 (d) 17
  22. 22.The mean of 3 numbers is 25. When the number 17 is added to them, what is the new mean? (a) 21 (b) 25 (c) 23 (d) 24
  23. 23.What is the mean of 18, 2, 6 and 18? (a) 11 (b) 13 (c) 12 (d) 10
  24. 24.The mean of 6 numbers is 11. When the number 39 is added to them, what is the new mean? (a) 11 (b) 25 (c) 16 (d) 15
  25. 25.The mean of 8 numbers is 27. When the number 36 is added to them, what is the new mean? (a) 27 (b) 29 (c) 28 (d) 30
  26. 26.What is the mean of 20, 5, 14 and 13? (a) 15 (b) 13 (c) 14 (d) 12
  27. 27.What is the median of 7, 2, 29, 21, 23, 6 and 5? (a) 21 (b) 7 (c) 8 (d) 6
  28. 28.What is the mean of 6, 7, 3, 15, 8 and 15? (a) 8 (b) 10 (c) 9 (d) 11
  29. 29.The mean of 3 numbers is 34. When the number 30 is added to them, what is the new mean? (a) 33 (b) 32 (c) 35 (d) 34
  30. 30.What is the mean of 7, 7, 4, 4, 16 and 10? (a) 7 (b) 9 (c) 8 (d) 10
  31. 31.What is the mean of 13, 11, 12, 19, 13 and 4? (a) 13 (b) 14 (c) 12 (d) 11
  32. 32.What is the mean of 4, 8, 20, 2 and 6? (a) 7 (b) 8 (c) 9 (d) 10
  33. 33.What is the mean of 3, 11, 14, 15, 20 and 15? (a) 12 (b) 13 (c) 15 (d) 14
  34. 34.What is the median of 38, 27, 15, 33 and 13? (a) 33 (b) 28 (c) 27 (d) 15
  35. 35.What is the median of 32, 1, 17, 19, 39, 27 and 7? (a) 20 (b) 17 (c) 19 (d) 27
  36. 36.The mean of 3 numbers is 14. When the number 26 is added to them, what is the new mean? (a) 20 (b) 18 (c) 17 (d) 14
  37. 37.The mean of 3 numbers is 16. When the number 28 is added to them, what is the new mean? (a) 20 (b) 22 (c) 19 (d) 16
  38. 38.What is the median of 8, 27, 30, 12 and 10? (a) 10 (b) 12 (c) 27 (d) 30
  39. 39.What is the median of 39, 9, 6, 33 and 22? (a) 33 (b) 22 (c) 6 (d) 9
  40. 40.What is the mode of 5, 18, 10, 1, 18, 1 and 1? (a) 5 (b) 18 (c) 10 (d) 1

Answer key

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

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