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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 292 · 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 7, 12, 1, 12, 12, 1 and 5? (a) 12 (b) 7 (c) 5 (d) 1
  2. 2.What is the mean of 8, 13, 20, 4 and 15? (a) 12 (b) 13 (c) 15 (d) 10
  3. 3.What is the median of 19, 17, 29, 34 and 38? (a) 29 (b) 34 (c) 19 (d) 30
  4. 4.What is the mean of 3, 3, 11, 5 and 8? (a) 6 (b) 5 (c) 8 (d) 7
  5. 5.What is the mean of 11, 5, 2, 10, 6 and 20? (a) 8 (b) 9 (c) 11 (d) 10
  6. 6.What is the median of 24, 12, 1, 35 and 15? (a) 24 (b) 1 (c) 12 (d) 15
  7. 7.What is the mean of 4, 8, 14, 2, 12 and 8? (a) 10 (b) 9 (c) 7 (d) 8
  8. 8.What is the mode of 2, 3, 2, 2, 20, 4 and 3? (a) 3 (b) 20 (c) 4 (d) 2
  9. 9.What is the mode of 4, 9, 4, 9, 4, 5 and 10? (a) 9 (b) 10 (c) 4 (d) 5
  10. 10.What is the mean of 16, 7, 19, 5 and 13? (a) 13 (b) 10 (c) 15 (d) 12
  11. 11.What is the mode of 1, 13, 5, 5, 10, 1 and 5? (a) 1 (b) 5 (c) 13 (d) 10
  12. 12.What is the mean of 2, 10, 15 and 13? (a) 9 (b) 8 (c) 11 (d) 10
  13. 13.What is the mode of 3, 3, 7, 18, 11, 18 and 18? (a) 3 (b) 18 (c) 7 (d) 11
  14. 14.What is the median of 25, 22, 14, 18 and 2? (a) 22 (b) 14 (c) 19 (d) 18
  15. 15.What is the median of 20, 25, 39, 6 and 16? (a) 25 (b) 39 (c) 20 (d) 16
  16. 16.The mean of 5 numbers is 30. When the number 18 is added to them, what is the new mean? (a) 29 (b) 24 (c) 30 (d) 28
  17. 17.The mean of 9 numbers is 40. When the number 80 is added to them, what is the new mean? (a) 44 (b) 40 (c) 45 (d) 60
  18. 18.The mean of 4 numbers is 12. When the number 17 is added to them, what is the new mean? (a) 14 (b) 15 (c) 13 (d) 12
  19. 19.What is the median of 15, 12, 27, 7 and 16? (a) 16 (b) 15 (c) 27 (d) 12
  20. 20.What is the mean of 3, 20, 11 and 6? (a) 9 (b) 11 (c) 10 (d) 8
  21. 21.What is the mean of 9, 17, 7 and 19? (a) 12 (b) 15 (c) 13 (d) 14
  22. 22.What is the mean of 4, 9, 19, 20 and 13? (a) 12 (b) 15 (c) 14 (d) 13
  23. 23.What is the mode of 14, 17, 14, 8, 4, 17 and 14? (a) 14 (b) 8 (c) 17 (d) 4
  24. 24.What is the mode of 18, 6, 8, 18, 6, 6 and 3? (a) 6 (b) 3 (c) 8 (d) 18
  25. 25.What is the mode of 2, 20, 6, 5, 2, 6 and 6? (a) 20 (b) 2 (c) 6 (d) 5
  26. 26.What is the mean of 5, 15, 3, 3 and 9? (a) 9 (b) 8 (c) 6 (d) 7
  27. 27.What is the mean of 13, 14, 19, 20, 16 and 8? (a) 14 (b) 15 (c) 18 (d) 16
  28. 28.What is the median of 25, 14, 30, 35, 1, 26 and 6? (a) 35 (b) 25 (c) 26 (d) 14
  29. 29.What is the median of 22, 36, 17, 18, 1, 6 and 39? (a) 22 (b) 17 (c) 18 (d) 19
  30. 30.What is the mode of 10, 5, 8, 6, 6, 5 and 5? (a) 6 (b) 8 (c) 5 (d) 10
  31. 31.What is the mode of 7, 13, 11, 13, 7, 13 and 16? (a) 13 (b) 11 (c) 7 (d) 16
  32. 32.What is the mean of 7, 7, 5, 11, 2 and 22? (a) 10 (b) 8 (c) 11 (d) 9
  33. 33.What is the mode of 12, 18, 2, 2, 17, 18 and 2? (a) 18 (b) 17 (c) 2 (d) 12
  34. 34.What is the mean of 3, 2, 13 and 6? (a) 8 (b) 5 (c) 6 (d) 7
  35. 35.The mean of 5 numbers is 25. When the number 43 is added to them, what is the new mean? (a) 25 (b) 29 (c) 34 (d) 28
  36. 36.What is the mode of 16, 11, 19, 11, 1, 11 and 1? (a) 1 (b) 16 (c) 19 (d) 11
  37. 37.What is the median of 3, 40, 8, 17, 10, 33 and 29? (a) 20 (b) 29 (c) 10 (d) 17
  38. 38.What is the mode of 3, 8, 11, 11, 11, 8 and 19? (a) 11 (b) 3 (c) 19 (d) 8
  39. 39.What is the mean of 20, 4, 5 and 3? (a) 10 (b) 7 (c) 8 (d) 9
  40. 40.What is the median of 20, 11, 35, 5 and 3? (a) 35 (b) 20 (c) 11 (d) 5

Answer key

  1. 12
  2. 12
  3. 29
  4. 6
  5. 9
  6. 15
  7. 8
  8. 2
  9. 4
  10. 12
  11. 5
  12. 10
  13. 18
  14. 18
  15. 20
  16. 28
  17. 44
  18. 13
  19. 15
  20. 10
  21. 13
  22. 13
  23. 14
  24. 6
  25. 6
  26. 7
  27. 15
  28. 25
  29. 18
  30. 5
  31. 13
  32. 9
  33. 2
  34. 6
  35. 28
  36. 11
  37. 17
  38. 11
  39. 8
  40. 11

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