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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 243 · 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 4, 12, 11, 15 and 8? (a) 9 (b) 12 (c) 11 (d) 10
  2. 2.What is the mean of 4, 2, 15, 17 and 7? (a) 8 (b) 10 (c) 11 (d) 9
  3. 3.What is the mean of 2, 7, 9, 15, 6 and 9? (a) 8 (b) 7 (c) 10 (d) 9
  4. 4.What is the median of 1, 9, 14, 6 and 8? (a) 8 (b) 6 (c) 9 (d) 14
  5. 5.What is the mode of 9, 17, 6, 6, 17, 15 and 17? (a) 17 (b) 15 (c) 6 (d) 9
  6. 6.What is the mean of 11, 17, 9, 15 and 18? (a) 14 (b) 15 (c) 16 (d) 13
  7. 7.What is the mode of 1, 18, 7, 15, 18, 18 and 7? (a) 15 (b) 18 (c) 7 (d) 1
  8. 8.What is the mode of 20, 14, 14, 20, 9, 5 and 20? (a) 14 (b) 9 (c) 5 (d) 20
  9. 9.What is the mode of 9, 15, 9, 1, 15, 15 and 2? (a) 9 (b) 15 (c) 1 (d) 2
  10. 10.What is the mode of 3, 14, 8, 8, 8, 14 and 12? (a) 14 (b) 12 (c) 8 (d) 3
  11. 11.The mean of 9 numbers is 18. When the number 38 is added to them, what is the new mean? (a) 21 (b) 20 (c) 18 (d) 28
  12. 12.What is the mean of 5, 18, 14 and 19? (a) 15 (b) 16 (c) 14 (d) 13
  13. 13.What is the mean of 16, 6, 12, 17 and 19? (a) 16 (b) 14 (c) 13 (d) 15
  14. 14.What is the mean of 16, 12, 7, 9 and 11? (a) 10 (b) 12 (c) 13 (d) 11
  15. 15.The mean of 4 numbers is 12. When the number 17 is added to them, what is the new mean? (a) 12 (b) 13 (c) 15 (d) 14
  16. 16.What is the mean of 20, 8, 20, 18, 20 and 10? (a) 16 (b) 15 (c) 18 (d) 17
  17. 17.What is the mean of 18, 19, 2 and 17? (a) 15 (b) 13 (c) 14 (d) 16
  18. 18.What is the median of 29, 33, 13, 16, 39, 14 and 17? (a) 23 (b) 17 (c) 16 (d) 29
  19. 19.What is the median of 31, 25, 38, 23, 10, 11 and 17? (a) 25 (b) 24 (c) 23 (d) 17
  20. 20.What is the mode of 15, 2, 15, 11, 11, 11 and 4? (a) 2 (b) 4 (c) 11 (d) 15
  21. 21.What is the mode of 18, 18, 13, 13, 12, 8 and 13? (a) 18 (b) 12 (c) 8 (d) 13
  22. 22.What is the mean of 2, 3, 11 and 12? (a) 6 (b) 9 (c) 7 (d) 8
  23. 23.The mean of 3 numbers is 18. When the number 10 is added to them, what is the new mean? (a) 18 (b) 17 (c) 14 (d) 16
  24. 24.What is the mode of 4, 4, 7, 8, 7, 7 and 6? (a) 6 (b) 4 (c) 7 (d) 8
  25. 25.What is the mean of 7, 17, 5, 8 and 18? (a) 13 (b) 10 (c) 12 (d) 11
  26. 26.What is the mode of 12, 1, 13, 13, 16, 16 and 16? (a) 16 (b) 13 (c) 1 (d) 12
  27. 27.What is the mean of 19, 17, 4, 5, 2 and 19? (a) 13 (b) 11 (c) 12 (d) 10
  28. 28.What is the mean of 18, 15, 2 and 17? (a) 13 (b) 12 (c) 14 (d) 15
  29. 29.What is the mean of 3, 5, 17 and 19? (a) 13 (b) 10 (c) 11 (d) 12
  30. 30.The mean of 6 numbers is 32. When the number 25 is added to them, what is the new mean? (a) 33 (b) 30 (c) 32 (d) 31
  31. 31.What is the mean of 10, 16, 19, 13, 16 and 4? (a) 14 (b) 13 (c) 15 (d) 12
  32. 32.What is the mode of 19, 7, 9, 20, 7, 7 and 20? (a) 19 (b) 9 (c) 20 (d) 7
  33. 33.What is the mean of 15, 4, 11 and 6? (a) 12 (b) 10 (c) 8 (d) 9
  34. 34.What is the median of 29, 11, 7, 4, 14, 2 and 25? (a) 4 (b) 11 (c) 7 (d) 14
  35. 35.What is the median of 22, 13, 20, 17, 26, 28 and 38? (a) 20 (b) 22 (c) 26 (d) 17
  36. 36.What is the mode of 6, 9, 14, 14, 12, 14 and 9? (a) 12 (b) 14 (c) 9 (d) 6
  37. 37.What is the mode of 6, 7, 2, 8, 6, 7 and 7? (a) 8 (b) 2 (c) 7 (d) 6
  38. 38.What is the mean of 17, 10, 20 and 17? (a) 17 (b) 15 (c) 18 (d) 16
  39. 39.What is the mode of 12, 6, 2, 12, 17, 2 and 2? (a) 17 (b) 2 (c) 12 (d) 6
  40. 40.What is the mode of 5, 17, 9, 9, 8, 9 and 8? (a) 9 (b) 17 (c) 8 (d) 5

Answer key

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

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