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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 916 · 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 3, 13, 17, 12, 17, 12 and 17? (a) 13 (b) 17 (c) 3 (d) 12
  2. 2.What is the mean of 13, 18, 16, 2, 20 and 15? (a) 14 (b) 12 (c) 15 (d) 13
  3. 3.What is the mean of 3, 8, 6, 19 and 19? (a) 12 (b) 10 (c) 11 (d) 13
  4. 4.What is the mode of 13, 13, 12, 19, 13, 7 and 7? (a) 19 (b) 7 (c) 13 (d) 12
  5. 5.The mean of 9 numbers is 31. When the number 1 is added to them, what is the new mean? (a) 29 (b) 28 (c) 16 (d) 31
  6. 6.What is the median of 30, 8, 7, 13, 11, 14 and 23? (a) 11 (b) 13 (c) 14 (d) 12
  7. 7.What is the mode of 19, 3, 6, 6, 3, 15 and 3? (a) 6 (b) 15 (c) 19 (d) 3
  8. 8.The mean of 7 numbers is 36. When the number 12 is added to them, what is the new mean? (a) 24 (b) 34 (c) 33 (d) 36
  9. 9.What is the mode of 3, 8, 3, 2, 2, 11 and 3? (a) 11 (b) 2 (c) 3 (d) 8
  10. 10.What is the mean of 5, 7, 7, 14, 14 and 13? (a) 11 (b) 9 (c) 12 (d) 10
  11. 11.What is the mode of 11, 8, 13, 13, 15, 13 and 15? (a) 8 (b) 15 (c) 11 (d) 13
  12. 12.What is the median of 20, 22, 3, 14 and 40? (a) 14 (b) 3 (c) 22 (d) 20
  13. 13.What is the mean of 6, 13, 17, 18, 16 and 8? (a) 12 (b) 15 (c) 14 (d) 13
  14. 14.What is the mean of 5, 16, 8, 14, 4 and 7? (a) 10 (b) 9 (c) 8 (d) 11
  15. 15.The mean of 7 numbers is 23. When the number 55 is added to them, what is the new mean? (a) 28 (b) 27 (c) 23 (d) 39
  16. 16.The mean of 8 numbers is 39. When the number 66 is added to them, what is the new mean? (a) 43 (b) 42 (c) 41 (d) 39
  17. 17.What is the mean of 16, 15, 4 and 17? (a) 13 (b) 15 (c) 12 (d) 14
  18. 18.What is the mean of 13, 7, 4, 2, 4 and 12? (a) 6 (b) 8 (c) 7 (d) 9
  19. 19.The mean of 9 numbers is 15. When the number 45 is added to them, what is the new mean? (a) 30 (b) 15 (c) 19 (d) 18
  20. 20.What is the mode of 4, 11, 14, 11, 14, 11 and 19? (a) 14 (b) 11 (c) 19 (d) 4
  21. 21.What is the mean of 14, 4, 13, 17, 7 and 5? (a) 10 (b) 9 (c) 11 (d) 12
  22. 22.What is the mean of 5, 19, 7, 2, 18 and 9? (a) 12 (b) 11 (c) 9 (d) 10
  23. 23.What is the mode of 12, 4, 12, 18, 4, 1 and 4? (a) 12 (b) 18 (c) 4 (d) 1
  24. 24.What is the mode of 11, 15, 8, 15, 15, 19 and 11? (a) 19 (b) 8 (c) 11 (d) 15
  25. 25.What is the median of 29, 30, 15, 32, 16, 18 and 20? (a) 20 (b) 29 (c) 18 (d) 32
  26. 26.What is the mode of 15, 14, 13, 14, 11, 11 and 11? (a) 13 (b) 14 (c) 11 (d) 15
  27. 27.What is the mode of 20, 14, 10, 20, 5, 10 and 20? (a) 10 (b) 20 (c) 5 (d) 14
  28. 28.What is the median of 32, 18, 27, 19, 24, 36 and 34? (a) 19 (b) 32 (c) 24 (d) 27
  29. 29.What is the median of 26, 6, 21, 18 and 17? (a) 21 (b) 17 (c) 18 (d) 19
  30. 30.What is the mean of 17, 11, 6, 13, 4 and 3? (a) 11 (b) 10 (c) 8 (d) 9
  31. 31.What is the mean of 3, 13, 20, 13 and 11? (a) 12 (b) 15 (c) 10 (d) 13
  32. 32.The mean of 6 numbers is 20. When the number 6 is added to them, what is the new mean? (a) 13 (b) 18 (c) 19 (d) 20
  33. 33.What is the mode of 18, 9, 18, 18, 8, 8 and 5? (a) 8 (b) 5 (c) 9 (d) 18
  34. 34.What is the mean of 3, 15, 15, 18, 3 and 18? (a) 11 (b) 13 (c) 12 (d) 14
  35. 35.What is the mean of 4, 18, 6, 11 and 16? (a) 10 (b) 13 (c) 11 (d) 12
  36. 36.What is the median of 24, 3, 37, 13 and 22? (a) 13 (b) 22 (c) 24 (d) 37
  37. 37.What is the mean of 15, 12, 2, 10, 3 and 18? (a) 10 (b) 9 (c) 11 (d) 12
  38. 38.The mean of 4 numbers is 16. When the number 36 is added to them, what is the new mean? (a) 26 (b) 20 (c) 16 (d) 21
  39. 39.What is the mode of 6, 12, 6, 18, 4, 12 and 6? (a) 12 (b) 4 (c) 18 (d) 6
  40. 40.What is the median of 20, 29, 35, 11, 14, 40 and 36? (a) 11 (b) 35 (c) 29 (d) 20

Answer key

  1. 17
  2. 14
  3. 11
  4. 13
  5. 28
  6. 13
  7. 3
  8. 33
  9. 3
  10. 10
  11. 13
  12. 20
  13. 13
  14. 9
  15. 27
  16. 42
  17. 13
  18. 7
  19. 18
  20. 11
  21. 10
  22. 10
  23. 4
  24. 15
  25. 20
  26. 11
  27. 20
  28. 27
  29. 18
  30. 9
  31. 12
  32. 18
  33. 18
  34. 12
  35. 11
  36. 22
  37. 10
  38. 20
  39. 6
  40. 29

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