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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 476 · 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, 14, 16, 12, 16, 12 and 16? (a) 16 (b) 14 (c) 12 (d) 11
  2. 2.What is the mean of 20, 2, 18, 6, 10 and 16? (a) 11 (b) 12 (c) 13 (d) 14
  3. 3.What is the mean of 18, 2, 18, 3, 6 and 19? (a) 13 (b) 11 (c) 12 (d) 10
  4. 4.What is the mean of 18, 12, 3, 7 and 20? (a) 13 (b) 12 (c) 10 (d) 15
  5. 5.What is the median of 1, 2, 9, 27 and 18? (a) 18 (b) 9 (c) 2 (d) 10
  6. 6.What is the mean of 10, 10, 14, 12, 14 and 18? (a) 15 (b) 14 (c) 13 (d) 12
  7. 7.What is the mode of 11, 6, 3, 3, 12, 6 and 3? (a) 11 (b) 3 (c) 12 (d) 6
  8. 8.What is the mean of 11, 19, 13 and 5? (a) 12 (b) 11 (c) 13 (d) 16
  9. 9.What is the mean of 9, 3, 8, 10, 16 and 14? (a) 12 (b) 9 (c) 11 (d) 10
  10. 10.What is the median of 40, 18, 34, 9, 36, 22 and 11? (a) 9 (b) 34 (c) 22 (d) 18
  11. 11.What is the mode of 3, 3, 2, 7, 3, 5 and 7? (a) 2 (b) 3 (c) 5 (d) 7
  12. 12.What is the mean of 18, 2, 9, 14, 11 and 6? (a) 12 (b) 11 (c) 10 (d) 9
  13. 13.What is the mean of 2, 6, 16, 5 and 6? (a) 7 (b) 8 (c) 9 (d) 6
  14. 14.What is the mode of 9, 10, 18, 4, 18, 4 and 4? (a) 9 (b) 10 (c) 4 (d) 18
  15. 15.What is the median of 8, 28, 24, 14 and 11? (a) 24 (b) 17 (c) 11 (d) 14
  16. 16.The mean of 8 numbers is 38. When the number 56 is added to them, what is the new mean? (a) 40 (b) 41 (c) 47 (d) 38
  17. 17.What is the median of 37, 10, 40, 5, 15, 6 and 12? (a) 12 (b) 5 (c) 10 (d) 15
  18. 18.The mean of 6 numbers is 24. When the number 45 is added to them, what is the new mean? (a) 26 (b) 28 (c) 24 (d) 27
  19. 19.The mean of 9 numbers is 38. When the number 48 is added to them, what is the new mean? (a) 38 (b) 43 (c) 40 (d) 39
  20. 20.The mean of 6 numbers is 23. When the number 37 is added to them, what is the new mean? (a) 26 (b) 25 (c) 23 (d) 30
  21. 21.What is the mode of 18, 2, 17, 2, 7, 17 and 2? (a) 7 (b) 18 (c) 17 (d) 2
  22. 22.What is the mode of 5, 16, 5, 16, 7, 5 and 8? (a) 8 (b) 7 (c) 16 (d) 5
  23. 23.What is the mean of 5, 5, 16, 7, 3 and 18? (a) 8 (b) 11 (c) 10 (d) 9
  24. 24.What is the mean of 17, 11, 17, 15, 13 and 11? (a) 15 (b) 12 (c) 13 (d) 14
  25. 25.What is the mode of 16, 17, 17, 14, 8, 17 and 8? (a) 16 (b) 17 (c) 8 (d) 14
  26. 26.What is the mean of 9, 17, 11, 12, 15 and 14? (a) 12 (b) 14 (c) 15 (d) 13
  27. 27.What is the mean of 7, 7, 3 and 11? (a) 8 (b) 7 (c) 9 (d) 6
  28. 28.What is the median of 18, 10, 35, 19 and 2? (a) 35 (b) 19 (c) 10 (d) 18
  29. 29.What is the mean of 11, 3, 17 and 9? (a) 9 (b) 10 (c) 8 (d) 11
  30. 30.The mean of 5 numbers is 40. When the number 64 is added to them, what is the new mean? (a) 45 (b) 44 (c) 52 (d) 40
  31. 31.What is the mean of 7, 7, 15, 18 and 13? (a) 15 (b) 13 (c) 12 (d) 10
  32. 32.What is the mean of 11, 12, 10 and 15? (a) 12 (b) 11 (c) 16 (d) 13
  33. 33.The mean of 3 numbers is 30. When the number 38 is added to them, what is the new mean? (a) 34 (b) 33 (c) 32 (d) 30
  34. 34.What is the mode of 4, 8, 4, 14, 4, 16 and 16? (a) 14 (b) 4 (c) 8 (d) 16
  35. 35.What is the median of 28, 3, 30, 14, 6, 7 and 1? (a) 7 (b) 6 (c) 8 (d) 14
  36. 36.What is the mean of 12, 11, 12 and 9? (a) 10 (b) 13 (c) 12 (d) 11
  37. 37.What is the mean of 5, 2, 12 and 5? (a) 8 (b) 6 (c) 5 (d) 7
  38. 38.The mean of 5 numbers is 14. When the number 2 is added to them, what is the new mean? (a) 14 (b) 13 (c) 12 (d) 8
  39. 39.What is the median of 25, 7, 21, 20, 22, 1 and 26? (a) 21 (b) 22 (c) 23 (d) 20
  40. 40.What is the median of 36, 33, 2, 11 and 30? (a) 30 (b) 2 (c) 33 (d) 11

Answer key

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

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