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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 990 · 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 5, 18, 3, 3, 11 and 8? (a) 9 (b) 10 (c) 7 (d) 8
  2. 2.What is the mode of 3, 5, 2, 2, 3, 9 and 3? (a) 5 (b) 2 (c) 9 (d) 3
  3. 3.What is the median of 5, 39, 37, 33 and 16? (a) 26 (b) 37 (c) 33 (d) 16
  4. 4.What is the mode of 2, 7, 8, 2, 9, 2 and 7? (a) 8 (b) 7 (c) 9 (d) 2
  5. 5.The mean of 4 numbers is 26. When the number 21 is added to them, what is the new mean? (a) 26 (b) 25 (c) 24 (d) 27
  6. 6.The mean of 6 numbers is 26. When the number 19 is added to them, what is the new mean? (a) 26 (b) 24 (c) 25 (d) 27
  7. 7.The mean of 3 numbers is 15. When the number 23 is added to them, what is the new mean? (a) 19 (b) 15 (c) 17 (d) 18
  8. 8.What is the mean of 10, 20, 7 and 7? (a) 10 (b) 13 (c) 12 (d) 11
  9. 9.What is the median of 35, 1, 5, 31, 23, 14 and 19? (a) 23 (b) 19 (c) 31 (d) 14
  10. 10.What is the mode of 17, 13, 17, 8, 6, 6 and 6? (a) 17 (b) 13 (c) 6 (d) 8
  11. 11.What is the mean of 13, 3, 20, 16 and 3? (a) 12 (b) 11 (c) 10 (d) 13
  12. 12.What is the mean of 10, 5, 6, 6 and 13? (a) 9 (b) 10 (c) 7 (d) 8
  13. 13.The mean of 3 numbers is 16. When the number 12 is added to them, what is the new mean? (a) 14 (b) 16 (c) 15 (d) 17
  14. 14.What is the median of 13, 30, 9, 1 and 33? (a) 30 (b) 9 (c) 14 (d) 13
  15. 15.What is the mean of 15, 10, 11, 11, 3 and 16? (a) 13 (b) 12 (c) 11 (d) 10
  16. 16.What is the median of 11, 13, 19, 16 and 12? (a) 16 (b) 19 (c) 13 (d) 12
  17. 17.What is the mode of 5, 4, 3, 19, 3, 3 and 19? (a) 19 (b) 3 (c) 5 (d) 4
  18. 18.What is the median of 12, 28, 2, 39 and 17? (a) 28 (b) 17 (c) 2 (d) 12
  19. 19.What is the median of 27, 33, 39, 18 and 23? (a) 33 (b) 27 (c) 39 (d) 28
  20. 20.What is the median of 1, 16, 3, 33, 28, 19 and 7? (a) 19 (b) 16 (c) 7 (d) 33
  21. 21.What is the mode of 13, 9, 2, 2, 6, 9 and 2? (a) 2 (b) 6 (c) 9 (d) 13
  22. 22.What is the median of 10, 18, 7, 13 and 5? (a) 10 (b) 13 (c) 11 (d) 7
  23. 23.What is the mean of 3, 13, 5, 2, 18 and 7? (a) 9 (b) 7 (c) 10 (d) 8
  24. 24.What is the mode of 5, 5, 3, 15, 5, 10 and 3? (a) 3 (b) 15 (c) 5 (d) 10
  25. 25.The mean of 5 numbers is 10. When the number 16 is added to them, what is the new mean? (a) 13 (b) 10 (c) 11 (d) 12
  26. 26.What is the mean of 13, 2, 18, 19, 13 and 7? (a) 12 (b) 14 (c) 11 (d) 13
  27. 27.The mean of 7 numbers is 11. When the number 27 is added to them, what is the new mean? (a) 13 (b) 14 (c) 11 (d) 19
  28. 28.What is the mode of 17, 9, 3, 17, 17, 3 and 19? (a) 19 (b) 17 (c) 9 (d) 3
  29. 29.What is the mean of 7, 13, 5 and 7? (a) 9 (b) 7 (c) 10 (d) 8
  30. 30.What is the median of 20, 33, 24, 13 and 1? (a) 21 (b) 24 (c) 20 (d) 13
  31. 31.What is the mean of 10, 12, 9 and 9? (a) 9 (b) 11 (c) 8 (d) 10
  32. 32.What is the mean of 19, 16, 20, 9, 6 and 20? (a) 18 (b) 15 (c) 14 (d) 16
  33. 33.The mean of 7 numbers is 36. When the number 60 is added to them, what is the new mean? (a) 40 (b) 36 (c) 48 (d) 39
  34. 34.What is the median of 24, 28, 8, 31, 22, 5 and 13? (a) 31 (b) 24 (c) 22 (d) 13
  35. 35.What is the median of 6, 21, 22, 2, 4, 28 and 11? (a) 6 (b) 11 (c) 21 (d) 2
  36. 36.The mean of 6 numbers is 30. When the number 9 is added to them, what is the new mean? (a) 28 (b) 26 (c) 27 (d) 30
  37. 37.What is the median of 13, 5, 39, 20, 29, 8 and 25? (a) 20 (b) 13 (c) 25 (d) 21
  38. 38.What is the mode of 2, 5, 2, 13, 2, 6 and 6? (a) 2 (b) 5 (c) 6 (d) 13
  39. 39.The mean of 7 numbers is 35. When the number 11 is added to them, what is the new mean? (a) 32 (b) 35 (c) 33 (d) 23
  40. 40.What is the mean of 6, 9, 13 and 4? (a) 7 (b) 8 (c) 10 (d) 9

Answer key

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

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