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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 994 · 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 16, 14, 8, 8, 8, 14 and 1? (a) 1 (b) 8 (c) 14 (d) 16
  2. 2.What is the mean of 14, 11, 11, 3 and 16? (a) 12 (b) 10 (c) 13 (d) 11
  3. 3.What is the median of 21, 34, 1, 4, 33, 11 and 3? (a) 4 (b) 12 (c) 11 (d) 21
  4. 4.The mean of 3 numbers is 16. When the number 12 is added to them, what is the new mean? (a) 14 (b) 17 (c) 16 (d) 15
  5. 5.The mean of 4 numbers is 34. When the number 14 is added to them, what is the new mean? (a) 34 (b) 31 (c) 24 (d) 30
  6. 6.What is the mean of 6, 3, 14, 19 and 13? (a) 12 (b) 10 (c) 13 (d) 11
  7. 7.What is the mean of 19, 11, 15, 3, 16 and 20? (a) 12 (b) 13 (c) 14 (d) 15
  8. 8.What is the mode of 14, 14, 1, 18, 10, 10 and 10? (a) 1 (b) 14 (c) 10 (d) 18
  9. 9.The mean of 7 numbers is 38. When the number 54 is added to them, what is the new mean? (a) 38 (b) 40 (c) 46 (d) 41
  10. 10.What is the mean of 11, 15, 19 and 7? (a) 12 (b) 13 (c) 14 (d) 15
  11. 11.The mean of 9 numbers is 29. When the number 59 is added to them, what is the new mean? (a) 32 (b) 44 (c) 29 (d) 33
  12. 12.The mean of 5 numbers is 20. When the number 44 is added to them, what is the new mean? (a) 32 (b) 25 (c) 24 (d) 20
  13. 13.What is the mode of 2, 15, 15, 15, 13, 4 and 2? (a) 2 (b) 4 (c) 15 (d) 13
  14. 14.What is the median of 1, 26, 29, 34 and 17? (a) 29 (b) 26 (c) 27 (d) 17
  15. 15.The mean of 3 numbers is 26. When the number 10 is added to them, what is the new mean? (a) 23 (b) 18 (c) 22 (d) 26
  16. 16.What is the mode of 6, 17, 8, 6, 4, 6 and 4? (a) 8 (b) 17 (c) 4 (d) 6
  17. 17.What is the mode of 18, 1, 3, 18, 1, 19 and 1? (a) 18 (b) 3 (c) 1 (d) 19
  18. 18.What is the mode of 2, 2, 2, 5, 20, 20 and 8? (a) 8 (b) 5 (c) 2 (d) 20
  19. 19.What is the median of 11, 30, 5, 31 and 3? (a) 30 (b) 11 (c) 5 (d) 16
  20. 20.The mean of 5 numbers is 31. When the number 13 is added to them, what is the new mean? (a) 29 (b) 31 (c) 28 (d) 22
  21. 21.What is the median of 5, 38, 16, 9, 18, 6 and 19? (a) 16 (b) 18 (c) 9 (d) 17
  22. 22.The mean of 7 numbers is 20. When the number 44 is added to them, what is the new mean? (a) 23 (b) 24 (c) 20 (d) 32
  23. 23.What is the mean of 2, 14, 7, 17, 8 and 18? (a) 10 (b) 13 (c) 11 (d) 12
  24. 24.The mean of 4 numbers is 19. When the number 34 is added to them, what is the new mean? (a) 21 (b) 19 (c) 23 (d) 22
  25. 25.What is the mean of 19, 13, 10, 6, 13 and 11? (a) 13 (b) 11 (c) 12 (d) 14
  26. 26.The mean of 6 numbers is 40. When the number 26 is added to them, what is the new mean? (a) 40 (b) 38 (c) 39 (d) 33
  27. 27.What is the mean of 11, 2, 5 and 18? (a) 10 (b) 8 (c) 12 (d) 9
  28. 28.What is the mean of 5, 5, 10 and 16? (a) 10 (b) 12 (c) 8 (d) 9
  29. 29.What is the mode of 19, 20, 11, 7, 11, 7 and 11? (a) 11 (b) 7 (c) 19 (d) 20
  30. 30.What is the mode of 16, 7, 12, 12, 16, 13 and 16? (a) 13 (b) 12 (c) 7 (d) 16
  31. 31.What is the mode of 11, 11, 11, 20, 17, 20 and 2? (a) 2 (b) 17 (c) 11 (d) 20
  32. 32.What is the mean of 7, 3, 7, 18, 16 and 21? (a) 13 (b) 12 (c) 11 (d) 14
  33. 33.What is the mode of 18, 11, 8, 18, 11, 1 and 18? (a) 11 (b) 1 (c) 18 (d) 8
  34. 34.What is the median of 39, 16, 26, 24 and 1? (a) 16 (b) 25 (c) 26 (d) 24
  35. 35.The mean of 4 numbers is 21. When the number 41 is added to them, what is the new mean? (a) 25 (b) 31 (c) 26 (d) 21
  36. 36.The mean of 3 numbers is 22. When the number 30 is added to them, what is the new mean? (a) 26 (b) 25 (c) 22 (d) 24
  37. 37.What is the median of 28, 21, 9, 26 and 16? (a) 26 (b) 9 (c) 21 (d) 20
  38. 38.What is the mean of 5, 20, 4, 12 and 9? (a) 11 (b) 10 (c) 9 (d) 12
  39. 39.What is the mode of 14, 4, 14, 5, 2, 2 and 2? (a) 14 (b) 5 (c) 2 (d) 4
  40. 40.What is the mode of 9, 1, 19, 1, 16, 1 and 16? (a) 1 (b) 9 (c) 16 (d) 19

Answer key

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

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