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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 747 · 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, 10, 2, 11, 10, 10 and 4? (a) 11 (b) 10 (c) 2 (d) 4
  2. 2.What is the mode of 19, 9, 8, 8, 8, 6 and 6? (a) 6 (b) 19 (c) 8 (d) 9
  3. 3.The mean of 8 numbers is 14. When the number 5 is added to them, what is the new mean? (a) 15 (b) 14 (c) 12 (d) 13
  4. 4.What is the median of 9, 18, 28, 3, 33, 24 and 32? (a) 24 (b) 3 (c) 28 (d) 21
  5. 5.What is the mean of 7, 6, 6, 20 and 6? (a) 10 (b) 11 (c) 8 (d) 9
  6. 6.The mean of 6 numbers is 13. When the number 6 is added to them, what is the new mean? (a) 13 (b) 11 (c) 12 (d) 14
  7. 7.What is the median of 35, 8, 17, 31, 10, 28 and 33? (a) 17 (b) 28 (c) 31 (d) 29
  8. 8.What is the mode of 11, 5, 18, 18, 11, 18 and 19? (a) 19 (b) 5 (c) 11 (d) 18
  9. 9.What is the mean of 19, 8, 16, 10, 14 and 23? (a) 14 (b) 16 (c) 18 (d) 15
  10. 10.What is the median of 35, 5, 12, 36 and 23? (a) 12 (b) 24 (c) 23 (d) 35
  11. 11.What is the mean of 13, 12, 10, 2 and 18? (a) 13 (b) 10 (c) 12 (d) 11
  12. 12.What is the mean of 6, 18, 11, 4 and 16? (a) 11 (b) 13 (c) 10 (d) 12
  13. 13.The mean of 5 numbers is 17. When the number 23 is added to them, what is the new mean? (a) 18 (b) 17 (c) 19 (d) 20
  14. 14.The mean of 3 numbers is 31. When the number 23 is added to them, what is the new mean? (a) 31 (b) 29 (c) 27 (d) 30
  15. 15.What is the mean of 17, 16, 15 and 8? (a) 13 (b) 14 (c) 16 (d) 15
  16. 16.What is the median of 20, 27, 15, 32, 8, 35 and 3? (a) 20 (b) 15 (c) 27 (d) 32
  17. 17.What is the mode of 13, 3, 5, 8, 5, 5 and 3? (a) 8 (b) 13 (c) 3 (d) 5
  18. 18.The mean of 8 numbers is 33. When the number 69 is added to them, what is the new mean? (a) 51 (b) 33 (c) 38 (d) 37
  19. 19.What is the mean of 8, 20, 14, 11 and 17? (a) 16 (b) 13 (c) 14 (d) 15
  20. 20.What is the mode of 13, 18, 18, 17, 13, 13 and 6? (a) 18 (b) 13 (c) 6 (d) 17
  21. 21.The mean of 5 numbers is 14. When the number 32 is added to them, what is the new mean? (a) 18 (b) 23 (c) 17 (d) 14
  22. 22.What is the median of 26, 12, 5, 23 and 2? (a) 5 (b) 23 (c) 13 (d) 12
  23. 23.What is the median of 17, 35, 1, 13 and 15? (a) 17 (b) 1 (c) 13 (d) 15
  24. 24.What is the mean of 13, 3, 15, 19, 6 and 10? (a) 10 (b) 13 (c) 11 (d) 12
  25. 25.What is the mean of 8, 5, 17 and 10? (a) 8 (b) 9 (c) 10 (d) 11
  26. 26.The mean of 5 numbers is 13. When the number 25 is added to them, what is the new mean? (a) 16 (b) 15 (c) 19 (d) 13
  27. 27.What is the median of 20, 37, 24, 40, 29, 32 and 11? (a) 24 (b) 32 (c) 29 (d) 40
  28. 28.The mean of 8 numbers is 13. When the number 31 is added to them, what is the new mean? (a) 15 (b) 16 (c) 22 (d) 13
  29. 29.The mean of 3 numbers is 21. When the number 33 is added to them, what is the new mean? (a) 25 (b) 21 (c) 27 (d) 24
  30. 30.What is the mode of 4, 10, 8, 4, 10, 4 and 18? (a) 18 (b) 10 (c) 4 (d) 8
  31. 31.The mean of 5 numbers is 36. When the number 60 is added to them, what is the new mean? (a) 36 (b) 41 (c) 48 (d) 40
  32. 32.What is the mean of 14, 11, 19 and 16? (a) 15 (b) 20 (c) 16 (d) 12
  33. 33.What is the mode of 1, 3, 2, 3, 1, 6 and 3? (a) 1 (b) 3 (c) 6 (d) 2
  34. 34.What is the mode of 7, 3, 9, 3, 3, 13 and 9? (a) 7 (b) 9 (c) 13 (d) 3
  35. 35.What is the mean of 6, 9, 11, 15, 14 and 5? (a) 12 (b) 10 (c) 9 (d) 11
  36. 36.What is the mode of 9, 17, 18, 18, 20, 18 and 20? (a) 20 (b) 17 (c) 18 (d) 9
  37. 37.What is the median of 6, 25, 9, 2 and 37? (a) 6 (b) 25 (c) 9 (d) 10
  38. 38.What is the mode of 13, 13, 13, 2, 18, 2 and 16? (a) 13 (b) 16 (c) 18 (d) 2
  39. 39.The mean of 9 numbers is 37. When the number 57 is added to them, what is the new mean? (a) 40 (b) 47 (c) 39 (d) 37
  40. 40.What is the mode of 12, 16, 3, 3, 3, 12 and 1? (a) 3 (b) 12 (c) 16 (d) 1

Answer key

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

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