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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 109 · 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 median of 36, 8, 9, 33 and 24? (a) 22 (b) 33 (c) 9 (d) 24
  2. 2.What is the mode of 14, 14, 6, 4, 6, 9 and 14? (a) 4 (b) 14 (c) 9 (d) 6
  3. 3.The mean of 8 numbers is 19. When the number 55 is added to them, what is the new mean? (a) 23 (b) 19 (c) 24 (d) 37
  4. 4.What is the median of 4, 40, 24, 6 and 21? (a) 6 (b) 24 (c) 21 (d) 19
  5. 5.What is the mean of 2, 8, 12 and 6? (a) 9 (b) 7 (c) 6 (d) 8
  6. 6.The mean of 5 numbers is 14. When the number 38 is added to them, what is the new mean? (a) 19 (b) 18 (c) 26 (d) 14
  7. 7.What is the mode of 10, 10, 11, 14, 12, 12 and 10? (a) 11 (b) 12 (c) 10 (d) 14
  8. 8.The mean of 3 numbers is 36. When the number 40 is added to them, what is the new mean? (a) 39 (b) 37 (c) 36 (d) 38
  9. 9.What is the mode of 13, 11, 19, 3, 11, 11 and 3? (a) 13 (b) 19 (c) 11 (d) 3
  10. 10.The mean of 5 numbers is 19. When the number 37 is added to them, what is the new mean? (a) 22 (b) 28 (c) 23 (d) 19
  11. 11.What is the mean of 8, 5, 19 and 4? (a) 9 (b) 12 (c) 10 (d) 8
  12. 12.What is the mean of 5, 12, 5, 5 and 18? (a) 10 (b) 11 (c) 8 (d) 9
  13. 13.What is the mode of 1, 13, 2, 4, 4, 1 and 1? (a) 13 (b) 2 (c) 4 (d) 1
  14. 14.What is the median of 9, 7, 27, 17, 5, 3 and 22? (a) 7 (b) 17 (c) 10 (d) 9
  15. 15.What is the mean of 10, 18, 3, 5, 4 and 20? (a) 12 (b) 9 (c) 11 (d) 10
  16. 16.What is the mean of 5, 17, 8, 11 and 9? (a) 10 (b) 11 (c) 12 (d) 9
  17. 17.What is the mode of 9, 5, 5, 8, 1, 1 and 5? (a) 5 (b) 1 (c) 9 (d) 8
  18. 18.The mean of 8 numbers is 10. When the number 19 is added to them, what is the new mean? (a) 11 (b) 12 (c) 10 (d) 13
  19. 19.What is the mode of 5, 15, 15, 5, 4, 1 and 5? (a) 4 (b) 15 (c) 1 (d) 5
  20. 20.The mean of 3 numbers is 31. When the number 19 is added to them, what is the new mean? (a) 31 (b) 25 (c) 28 (d) 29
  21. 21.What is the median of 8, 39, 19, 35 and 23? (a) 19 (b) 23 (c) 24 (d) 35
  22. 22.What is the mean of 11, 18, 3 and 12? (a) 10 (b) 13 (c) 12 (d) 11
  23. 23.What is the mean of 20, 13, 4, 14 and 4? (a) 12 (b) 13 (c) 11 (d) 10
  24. 24.What is the median of 8, 30, 28, 6, 16, 39 and 13? (a) 16 (b) 20 (c) 28 (d) 6
  25. 25.What is the mean of 2, 3, 2, 9, 2 and 18? (a) 7 (b) 8 (c) 6 (d) 5
  26. 26.What is the mean of 6, 7, 2, 3, 11 and 7? (a) 6 (b) 8 (c) 5 (d) 7
  27. 27.What is the mode of 2, 8, 8, 8, 18, 3 and 2? (a) 2 (b) 3 (c) 18 (d) 8
  28. 28.What is the mode of 9, 6, 9, 6, 8, 3 and 9? (a) 9 (b) 6 (c) 3 (d) 8
  29. 29.What is the mode of 8, 4, 6, 13, 8, 6 and 6? (a) 13 (b) 6 (c) 8 (d) 4
  30. 30.What is the mode of 11, 11, 3, 12, 12, 12 and 20? (a) 11 (b) 20 (c) 12 (d) 3
  31. 31.What is the median of 34, 14, 6, 22 and 16? (a) 6 (b) 14 (c) 16 (d) 22
  32. 32.What is the mean of 19, 4, 2 and 19? (a) 12 (b) 10 (c) 11 (d) 13
  33. 33.What is the mean of 16, 18, 2 and 8? (a) 10 (b) 13 (c) 12 (d) 11
  34. 34.What is the mean of 2, 10, 12 and 4? (a) 8 (b) 7 (c) 9 (d) 6
  35. 35.What is the mode of 4, 7, 9, 4, 4, 9 and 20? (a) 7 (b) 9 (c) 4 (d) 20
  36. 36.What is the mean of 10, 10, 7 and 9? (a) 10 (b) 9 (c) 12 (d) 8
  37. 37.What is the median of 23, 36, 13, 7, 14, 11 and 9? (a) 14 (b) 7 (c) 11 (d) 13
  38. 38.What is the mean of 2, 7, 4 and 11? (a) 8 (b) 5 (c) 7 (d) 6
  39. 39.What is the mean of 7, 6, 15, 17, 17 and 22? (a) 12 (b) 14 (c) 13 (d) 15
  40. 40.What is the median of 3, 31, 35, 36, 24, 8 and 7? (a) 24 (b) 36 (c) 8 (d) 31

Answer key

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

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