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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 60 · 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 15, 3, 20 and 14? (a) 13 (b) 14 (c) 15 (d) 12
  2. 2.What is the mode of 13, 9, 15, 6, 13, 13 and 9? (a) 15 (b) 13 (c) 6 (d) 9
  3. 3.What is the mode of 11, 12, 11, 19, 12, 4 and 12? (a) 11 (b) 19 (c) 12 (d) 4
  4. 4.What is the mean of 3, 7, 17, 2, 7 and 24? (a) 10 (b) 9 (c) 12 (d) 11
  5. 5.What is the mode of 3, 3, 4, 12, 6, 12 and 12? (a) 6 (b) 4 (c) 12 (d) 3
  6. 6.The mean of 5 numbers is 30. When the number 36 is added to them, what is the new mean? (a) 31 (b) 32 (c) 30 (d) 33
  7. 7.What is the mean of 10, 17, 19, 13 and 16? (a) 17 (b) 15 (c) 16 (d) 14
  8. 8.What is the median of 22, 4, 13, 37 and 30? (a) 30 (b) 13 (c) 22 (d) 23
  9. 9.What is the median of 18, 34, 33, 11, 30, 32 and 13? (a) 11 (b) 32 (c) 18 (d) 30
  10. 10.What is the mean of 12, 9, 7, 4, 17 and 17? (a) 13 (b) 10 (c) 11 (d) 12
  11. 11.What is the median of 24, 20, 19, 35 and 4? (a) 24 (b) 21 (c) 19 (d) 20
  12. 12.The mean of 9 numbers is 27. When the number 7 is added to them, what is the new mean? (a) 27 (b) 17 (c) 25 (d) 26
  13. 13.What is the mode of 3, 19, 18, 9, 3, 3 and 19? (a) 3 (b) 19 (c) 9 (d) 18
  14. 14.What is the mode of 7, 19, 4, 19, 9, 9 and 9? (a) 4 (b) 7 (c) 19 (d) 9
  15. 15.What is the mean of 4, 6, 19 and 23? (a) 13 (b) 15 (c) 14 (d) 12
  16. 16.What is the median of 12, 40, 31, 10, 6, 16 and 2? (a) 13 (b) 10 (c) 12 (d) 16
  17. 17.What is the mode of 9, 14, 14, 5, 15, 15 and 14? (a) 9 (b) 14 (c) 5 (d) 15
  18. 18.The mean of 3 numbers is 38. When the number 34 is added to them, what is the new mean? (a) 39 (b) 36 (c) 38 (d) 37
  19. 19.What is the mean of 8, 10, 2, 11 and 9? (a) 10 (b) 8 (c) 9 (d) 7
  20. 20.The mean of 4 numbers is 14. When the number 9 is added to them, what is the new mean? (a) 12 (b) 15 (c) 13 (d) 14
  21. 21.The mean of 6 numbers is 40. When the number 68 is added to them, what is the new mean? (a) 44 (b) 45 (c) 40 (d) 54
  22. 22.What is the mode of 13, 11, 17, 17, 11, 11 and 5? (a) 11 (b) 5 (c) 13 (d) 17
  23. 23.The mean of 3 numbers is 18. When the number 22 is added to them, what is the new mean? (a) 19 (b) 21 (c) 20 (d) 18
  24. 24.What is the median of 24, 11, 8, 7 and 13? (a) 12 (b) 13 (c) 11 (d) 8
  25. 25.What is the mode of 14, 13, 20, 14, 20, 14 and 5? (a) 20 (b) 5 (c) 14 (d) 13
  26. 26.What is the median of 36, 25, 30, 34 and 29? (a) 30 (b) 34 (c) 29 (d) 31
  27. 27.The mean of 4 numbers is 20. When the number 5 is added to them, what is the new mean? (a) 18 (b) 17 (c) 16 (d) 20
  28. 28.What is the mode of 4, 3, 3, 6, 17, 4 and 3? (a) 6 (b) 4 (c) 17 (d) 3
  29. 29.What is the median of 4, 20, 21, 38 and 2? (a) 20 (b) 17 (c) 21 (d) 4
  30. 30.What is the mean of 12, 3, 7, 7, 15 and 16? (a) 12 (b) 9 (c) 10 (d) 11
  31. 31.What is the mode of 19, 2, 6, 19, 19, 7 and 2? (a) 2 (b) 6 (c) 19 (d) 7
  32. 32.What is the mode of 20, 19, 19, 2, 3, 3 and 19? (a) 20 (b) 2 (c) 19 (d) 3
  33. 33.What is the mean of 2, 13, 6, 5, 12 and 16? (a) 10 (b) 9 (c) 8 (d) 11
  34. 34.What is the mode of 17, 18, 12, 18, 17, 18 and 20? (a) 18 (b) 12 (c) 17 (d) 20
  35. 35.What is the mode of 8, 3, 2, 3, 5, 3 and 8? (a) 3 (b) 8 (c) 5 (d) 2
  36. 36.What is the median of 13, 15, 14, 11 and 23? (a) 16 (b) 14 (c) 13 (d) 15
  37. 37.What is the mode of 13, 11, 13, 10, 11, 4 and 11? (a) 4 (b) 13 (c) 10 (d) 11
  38. 38.What is the mean of 18, 2, 20, 13, 2 and 11? (a) 13 (b) 10 (c) 11 (d) 12
  39. 39.What is the mean of 18, 8, 3, 11, 17 and 9? (a) 12 (b) 11 (c) 13 (d) 10
  40. 40.The mean of 8 numbers is 19. When the number 28 is added to them, what is the new mean? (a) 21 (b) 22 (c) 20 (d) 19

Answer key

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

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