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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 977 · 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 18, 6, 18, 13, 18, 16 and 13? (a) 18 (b) 13 (c) 6 (d) 16
  2. 2.The mean of 6 numbers is 31. When the number 45 is added to them, what is the new mean? (a) 34 (b) 31 (c) 38 (d) 33
  3. 3.What is the mode of 19, 19, 20, 1, 13, 19 and 1? (a) 1 (b) 13 (c) 19 (d) 20
  4. 4.What is the median of 28, 3, 40, 36 and 21? (a) 28 (b) 21 (c) 40 (d) 36
  5. 5.What is the mode of 19, 5, 9, 5, 7, 19 and 19? (a) 7 (b) 5 (c) 19 (d) 9
  6. 6.What is the mode of 12, 14, 18, 12, 20, 20 and 12? (a) 12 (b) 14 (c) 20 (d) 18
  7. 7.The mean of 5 numbers is 38. When the number 32 is added to them, what is the new mean? (a) 36 (b) 35 (c) 38 (d) 37
  8. 8.What is the mean of 15, 5, 4, 14, 18 and 16? (a) 13 (b) 14 (c) 12 (d) 11
  9. 9.What is the mean of 9, 12, 16 and 19? (a) 15 (b) 14 (c) 16 (d) 13
  10. 10.What is the mean of 5, 11, 18 and 18? (a) 14 (b) 12 (c) 15 (d) 13
  11. 11.The mean of 9 numbers is 14. When the number 4 is added to them, what is the new mean? (a) 14 (b) 13 (c) 9 (d) 12
  12. 12.What is the mean of 12, 6, 15, 16, 5 and 24? (a) 12 (b) 13 (c) 14 (d) 15
  13. 13.What is the mean of 11, 10, 18, 8 and 8? (a) 12 (b) 13 (c) 11 (d) 10
  14. 14.What is the mode of 17, 16, 3, 3, 17, 14 and 3? (a) 14 (b) 16 (c) 3 (d) 17
  15. 15.What is the mean of 11, 10, 10, 9 and 10? (a) 9 (b) 11 (c) 10 (d) 12
  16. 16.The mean of 3 numbers is 28. When the number 44 is added to them, what is the new mean? (a) 36 (b) 33 (c) 32 (d) 28
  17. 17.The mean of 7 numbers is 11. When the number 27 is added to them, what is the new mean? (a) 11 (b) 13 (c) 14 (d) 19
  18. 18.What is the mean of 2, 2, 10, 6, 5 and 11? (a) 8 (b) 5 (c) 6 (d) 7
  19. 19.What is the mode of 3, 6, 2, 2, 3, 7 and 3? (a) 3 (b) 7 (c) 2 (d) 6
  20. 20.What is the mode of 14, 16, 11, 19, 11, 11 and 16? (a) 16 (b) 14 (c) 11 (d) 19
  21. 21.What is the mean of 3, 10, 20 and 11? (a) 11 (b) 10 (c) 12 (d) 13
  22. 22.What is the median of 19, 4, 27, 36 and 22? (a) 22 (b) 27 (c) 23 (d) 19
  23. 23.What is the mode of 6, 20, 20, 4, 1, 6 and 6? (a) 6 (b) 4 (c) 1 (d) 20
  24. 24.The mean of 8 numbers is 23. When the number 14 is added to them, what is the new mean? (a) 24 (b) 21 (c) 22 (d) 23
  25. 25.What is the mode of 4, 7, 17, 7, 17, 7 and 15? (a) 17 (b) 4 (c) 15 (d) 7
  26. 26.What is the mean of 16, 7, 9, 4 and 14? (a) 10 (b) 12 (c) 9 (d) 11
  27. 27.What is the mode of 10, 12, 14, 4, 10, 10 and 12? (a) 4 (b) 14 (c) 10 (d) 12
  28. 28.What is the mean of 20, 6, 11, 8 and 20? (a) 14 (b) 12 (c) 13 (d) 15
  29. 29.What is the median of 36, 10, 39, 3, 29, 32 and 33? (a) 3 (b) 26 (c) 32 (d) 33
  30. 30.What is the median of 37, 38, 35, 21 and 15? (a) 21 (b) 36 (c) 35 (d) 37
  31. 31.The mean of 7 numbers is 30. When the number 62 is added to them, what is the new mean? (a) 35 (b) 30 (c) 34 (d) 46
  32. 32.What is the median of 11, 30, 37, 20, 40, 7 and 9? (a) 30 (b) 22 (c) 20 (d) 11
  33. 33.The mean of 6 numbers is 17. When the number 38 is added to them, what is the new mean? (a) 17 (b) 19 (c) 21 (d) 20
  34. 34.What is the mode of 6, 6, 8, 8, 4, 8 and 5? (a) 8 (b) 5 (c) 6 (d) 4
  35. 35.What is the mean of 20, 9, 19, 3 and 4? (a) 10 (b) 13 (c) 11 (d) 12
  36. 36.The mean of 4 numbers is 11. When the number 31 is added to them, what is the new mean? (a) 15 (b) 16 (c) 11 (d) 21
  37. 37.What is the mean of 5, 5, 6, 2 and 7? (a) 6 (b) 4 (c) 7 (d) 5
  38. 38.What is the mode of 2, 17, 17, 4, 5, 4 and 17? (a) 2 (b) 4 (c) 17 (d) 5
  39. 39.What is the mode of 16, 16, 15, 16, 2, 15 and 20? (a) 16 (b) 2 (c) 15 (d) 20
  40. 40.What is the mode of 7, 7, 20, 8, 3, 20 and 7? (a) 7 (b) 3 (c) 8 (d) 20

Answer key

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

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