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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 934 · 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 median of 37, 28, 26, 4 and 1? (a) 28 (b) 27 (c) 26 (d) 4
  2. 2.What is the median of 15, 1, 3, 17 and 7? (a) 15 (b) 8 (c) 7 (d) 3
  3. 3.What is the mode of 12, 5, 12, 17, 5, 5 and 9? (a) 12 (b) 17 (c) 9 (d) 5
  4. 4.What is the mode of 14, 3, 5, 11, 14, 3 and 14? (a) 14 (b) 11 (c) 5 (d) 3
  5. 5.What is the mode of 15, 15, 14, 3, 15, 17 and 3? (a) 17 (b) 14 (c) 15 (d) 3
  6. 6.What is the median of 12, 9, 22, 19, 4, 1 and 8? (a) 9 (b) 12 (c) 19 (d) 8
  7. 7.The mean of 7 numbers is 29. When the number 45 is added to them, what is the new mean? (a) 32 (b) 29 (c) 31 (d) 37
  8. 8.What is the median of 28, 1, 6, 17 and 34? (a) 6 (b) 28 (c) 17 (d) 18
  9. 9.What is the mode of 5, 1, 5, 2, 2, 5 and 16? (a) 2 (b) 16 (c) 1 (d) 5
  10. 10.What is the mean of 8, 2, 19, 8, 17 and 6? (a) 10 (b) 11 (c) 9 (d) 12
  11. 11.What is the mode of 4, 5, 4, 4, 19, 19 and 18? (a) 19 (b) 4 (c) 18 (d) 5
  12. 12.What is the mean of 5, 17, 9 and 9? (a) 11 (b) 8 (c) 9 (d) 10
  13. 13.What is the mode of 7, 9, 9, 4, 4, 8 and 9? (a) 4 (b) 7 (c) 8 (d) 9
  14. 14.What is the median of 5, 1, 20, 39 and 19? (a) 18 (b) 19 (c) 5 (d) 20
  15. 15.What is the mode of 14, 7, 7, 19, 10, 7 and 10? (a) 7 (b) 14 (c) 19 (d) 10
  16. 16.What is the mode of 7, 5, 7, 14, 14, 15 and 7? (a) 14 (b) 7 (c) 5 (d) 15
  17. 17.What is the median of 2, 3, 11, 8, 36, 9 and 34? (a) 11 (b) 9 (c) 8 (d) 10
  18. 18.What is the mean of 13, 3, 8, 16 and 10? (a) 10 (b) 11 (c) 12 (d) 9
  19. 19.What is the mean of 4, 5, 12, 5, 19 and 15? (a) 10 (b) 11 (c) 12 (d) 9
  20. 20.The mean of 5 numbers is 35. When the number 11 is added to them, what is the new mean? (a) 35 (b) 23 (c) 32 (d) 31
  21. 21.What is the mean of 2, 9, 14, 19 and 6? (a) 12 (b) 9 (c) 10 (d) 11
  22. 22.What is the mean of 14, 2, 6, 16 and 7? (a) 8 (b) 9 (c) 10 (d) 11
  23. 23.What is the median of 6, 7, 29, 5 and 32? (a) 8 (b) 29 (c) 7 (d) 6
  24. 24.What is the median of 40, 8, 26, 18 and 34? (a) 34 (b) 26 (c) 18 (d) 27
  25. 25.What is the median of 9, 22, 35, 23 and 38? (a) 24 (b) 23 (c) 35 (d) 22
  26. 26.The mean of 7 numbers is 18. When the number 50 is added to them, what is the new mean? (a) 23 (b) 18 (c) 34 (d) 22
  27. 27.What is the median of 11, 4, 33, 7 and 23? (a) 7 (b) 11 (c) 23 (d) 33
  28. 28.The mean of 7 numbers is 35. When the number 43 is added to them, what is the new mean? (a) 39 (b) 35 (c) 36 (d) 37
  29. 29.The mean of 9 numbers is 38. When the number 68 is added to them, what is the new mean? (a) 41 (b) 53 (c) 42 (d) 38
  30. 30.The mean of 5 numbers is 11. When the number 5 is added to them, what is the new mean? (a) 10 (b) 9 (c) 11 (d) 8
  31. 31.The mean of 6 numbers is 28. When the number 42 is added to them, what is the new mean? (a) 31 (b) 30 (c) 35 (d) 28
  32. 32.What is the mode of 9, 16, 18, 2, 18, 18 and 2? (a) 16 (b) 2 (c) 9 (d) 18
  33. 33.What is the mode of 20, 7, 20, 7, 1, 20 and 17? (a) 7 (b) 17 (c) 1 (d) 20
  34. 34.What is the mean of 13, 2, 5 and 12? (a) 10 (b) 8 (c) 7 (d) 9
  35. 35.What is the median of 4, 19, 6, 30 and 13? (a) 14 (b) 19 (c) 13 (d) 6
  36. 36.What is the mean of 9, 19, 6, 12 and 19? (a) 15 (b) 13 (c) 14 (d) 12
  37. 37.What is the mean of 12, 6, 9, 5 and 13? (a) 8 (b) 10 (c) 11 (d) 9
  38. 38.What is the median of 14, 11, 29, 31, 3, 2 and 21? (a) 21 (b) 11 (c) 14 (d) 31
  39. 39.The mean of 8 numbers is 22. When the number 58 is added to them, what is the new mean? (a) 40 (b) 26 (c) 27 (d) 22
  40. 40.What is the mean of 6, 18, 13 and 15? (a) 12 (b) 13 (c) 15 (d) 14

Answer key

  1. 26
  2. 7
  3. 5
  4. 14
  5. 15
  6. 9
  7. 31
  8. 17
  9. 5
  10. 10
  11. 4
  12. 10
  13. 9
  14. 19
  15. 7
  16. 7
  17. 9
  18. 10
  19. 10
  20. 31
  21. 10
  22. 9
  23. 7
  24. 26
  25. 23
  26. 22
  27. 11
  28. 36
  29. 41
  30. 10
  31. 30
  32. 18
  33. 20
  34. 8
  35. 13
  36. 13
  37. 9
  38. 14
  39. 26
  40. 13

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