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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 988 · 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 13, 6, 6 and 11? (a) 10 (b) 12 (c) 9 (d) 8
  2. 2.What is the mean of 8, 10, 5 and 5? (a) 9 (b) 8 (c) 7 (d) 6
  3. 3.The mean of 6 numbers is 15. When the number 43 is added to them, what is the new mean? (a) 20 (b) 29 (c) 15 (d) 19
  4. 4.What is the mode of 4, 5, 5, 13, 5, 4 and 8? (a) 13 (b) 8 (c) 5 (d) 4
  5. 5.What is the median of 7, 34, 17, 19, 2, 27 and 4? (a) 19 (b) 17 (c) 7 (d) 18
  6. 6.What is the mean of 13, 13, 12, 16, 18 and 6? (a) 13 (b) 15 (c) 14 (d) 12
  7. 7.What is the mode of 6, 7, 14, 7, 18, 14 and 7? (a) 18 (b) 14 (c) 6 (d) 7
  8. 8.What is the median of 30, 9, 11, 12 and 38? (a) 30 (b) 11 (c) 20 (d) 12
  9. 9.What is the mean of 14, 15, 2 and 17? (a) 16 (b) 12 (c) 11 (d) 13
  10. 10.What is the median of 32, 29, 28, 5 and 39? (a) 29 (b) 30 (c) 28 (d) 32
  11. 11.What is the median of 29, 4, 16, 39, 36, 31 and 28? (a) 28 (b) 39 (c) 31 (d) 29
  12. 12.What is the mode of 5, 18, 4, 15, 4, 5 and 4? (a) 18 (b) 4 (c) 5 (d) 15
  13. 13.What is the mean of 7, 6, 9, 13, 11 and 2? (a) 10 (b) 7 (c) 9 (d) 8
  14. 14.What is the mode of 7, 1, 7, 3, 2, 7 and 2? (a) 3 (b) 7 (c) 1 (d) 2
  15. 15.What is the mean of 3, 4, 4, 16 and 13? (a) 10 (b) 9 (c) 8 (d) 7
  16. 16.The mean of 9 numbers is 24. When the number 54 is added to them, what is the new mean? (a) 28 (b) 24 (c) 27 (d) 39
  17. 17.The mean of 4 numbers is 27. When the number 32 is added to them, what is the new mean? (a) 27 (b) 29 (c) 30 (d) 28
  18. 18.What is the median of 40, 3, 15, 13 and 31? (a) 13 (b) 15 (c) 16 (d) 31
  19. 19.What is the median of 10, 13, 22, 32 and 15? (a) 16 (b) 15 (c) 22 (d) 13
  20. 20.What is the median of 33, 10, 1, 11 and 35? (a) 1 (b) 11 (c) 18 (d) 33
  21. 21.What is the mean of 13, 5, 19, 7 and 16? (a) 12 (b) 10 (c) 13 (d) 15
  22. 22.What is the mean of 20, 4, 16, 8, 17 and 13? (a) 13 (b) 14 (c) 12 (d) 15
  23. 23.What is the median of 38, 27, 30, 1, 36, 31 and 33? (a) 1 (b) 33 (c) 28 (d) 31
  24. 24.What is the median of 3, 28, 10, 15 and 29? (a) 15 (b) 10 (c) 28 (d) 17
  25. 25.What is the mode of 13, 7, 13, 5, 16, 13 and 16? (a) 13 (b) 16 (c) 5 (d) 7
  26. 26.What is the mean of 4, 16, 8, 9, 3 and 8? (a) 8 (b) 10 (c) 9 (d) 7
  27. 27.The mean of 4 numbers is 23. When the number 3 is added to them, what is the new mean? (a) 13 (b) 20 (c) 19 (d) 23
  28. 28.The mean of 5 numbers is 37. When the number 55 is added to them, what is the new mean? (a) 37 (b) 46 (c) 41 (d) 40
  29. 29.What is the mean of 17, 2, 4, 6 and 16? (a) 10 (b) 11 (c) 9 (d) 8
  30. 30.What is the mean of 17, 11, 20, 7, 14 and 9? (a) 14 (b) 15 (c) 13 (d) 12
  31. 31.What is the mode of 14, 17, 8, 8, 6, 17 and 17? (a) 6 (b) 14 (c) 17 (d) 8
  32. 32.What is the mean of 8, 5, 15 and 4? (a) 10 (b) 7 (c) 9 (d) 8
  33. 33.What is the median of 5, 20, 34, 30, 28, 1 and 40? (a) 30 (b) 20 (c) 29 (d) 28
  34. 34.What is the mode of 14, 11, 7, 11, 7, 7 and 5? (a) 5 (b) 14 (c) 7 (d) 11
  35. 35.What is the mean of 10, 18, 6 and 2? (a) 8 (b) 12 (c) 10 (d) 9
  36. 36.The mean of 8 numbers is 16. When the number 25 is added to them, what is the new mean? (a) 17 (b) 16 (c) 19 (d) 18
  37. 37.The mean of 7 numbers is 28. When the number 12 is added to them, what is the new mean? (a) 27 (b) 26 (c) 20 (d) 28
  38. 38.What is the mean of 20, 14, 2, 6 and 13? (a) 12 (b) 11 (c) 13 (d) 10
  39. 39.What is the mode of 16, 11, 14, 15, 15, 15 and 16? (a) 11 (b) 16 (c) 14 (d) 15
  40. 40.What is the median of 3, 26, 11, 6 and 20? (a) 12 (b) 20 (c) 6 (d) 11

Answer key

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

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