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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 920 · 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 4, 4, 11, 11, 5, 20 and 4? (a) 4 (b) 11 (c) 5 (d) 20
  2. 2.What is the median of 7, 33, 11, 12, 29, 6 and 5? (a) 7 (b) 11 (c) 10 (d) 12
  3. 3.What is the median of 17, 28, 7, 23 and 10? (a) 10 (b) 7 (c) 17 (d) 23
  4. 4.What is the median of 19, 8, 2, 7 and 10? (a) 8 (b) 10 (c) 2 (d) 7
  5. 5.The mean of 4 numbers is 27. When the number 32 is added to them, what is the new mean? (a) 27 (b) 28 (c) 30 (d) 29
  6. 6.What is the median of 14, 37, 9, 33 and 4? (a) 9 (b) 14 (c) 15 (d) 33
  7. 7.What is the mean of 8, 4, 8, 19 and 6? (a) 9 (b) 8 (c) 11 (d) 10
  8. 8.The mean of 4 numbers is 37. When the number 42 is added to them, what is the new mean? (a) 37 (b) 38 (c) 40 (d) 39
  9. 9.What is the median of 26, 27, 2, 29, 38, 31 and 17? (a) 29 (b) 28 (c) 26 (d) 27
  10. 10.What is the mean of 12, 4, 6, 4 and 19? (a) 9 (b) 11 (c) 8 (d) 10
  11. 11.What is the mean of 12, 4, 6, 16, 13 and 21? (a) 13 (b) 14 (c) 12 (d) 11
  12. 12.The mean of 8 numbers is 33. When the number 69 is added to them, what is the new mean? (a) 33 (b) 37 (c) 51 (d) 38
  13. 13.What is the median of 33, 40, 22, 15, 35, 3 and 34? (a) 33 (b) 15 (c) 26 (d) 34
  14. 14.The mean of 7 numbers is 34. When the number 42 is added to them, what is the new mean? (a) 35 (b) 38 (c) 34 (d) 36
  15. 15.What is the mean of 12, 15, 5, 6, 7 and 9? (a) 8 (b) 11 (c) 9 (d) 10
  16. 16.What is the mode of 6, 12, 20, 12, 20, 5 and 20? (a) 6 (b) 12 (c) 5 (d) 20
  17. 17.What is the median of 11, 8, 38, 31 and 3? (a) 38 (b) 31 (c) 8 (d) 11
  18. 18.What is the mode of 1, 1, 7, 1, 20, 2 and 7? (a) 20 (b) 2 (c) 1 (d) 7
  19. 19.The mean of 5 numbers is 11. When the number 35 is added to them, what is the new mean? (a) 16 (b) 23 (c) 15 (d) 11
  20. 20.What is the median of 9, 6, 13, 30, 22, 35 and 10? (a) 13 (b) 10 (c) 22 (d) 30
  21. 21.What is the median of 30, 26, 4, 6 and 2? (a) 26 (b) 6 (c) 4 (d) 7
  22. 22.What is the mode of 9, 15, 9, 4, 9, 3 and 4? (a) 15 (b) 3 (c) 9 (d) 4
  23. 23.What is the mean of 6, 6, 19, 12 and 17? (a) 10 (b) 15 (c) 12 (d) 13
  24. 24.What is the median of 35, 4, 24, 13, 14, 12 and 21? (a) 15 (b) 14 (c) 13 (d) 21
  25. 25.The mean of 3 numbers is 11. When the number 15 is added to them, what is the new mean? (a) 12 (b) 11 (c) 14 (d) 13
  26. 26.What is the mean of 11, 5, 6 and 14? (a) 8 (b) 10 (c) 12 (d) 9
  27. 27.What is the mean of 3, 3, 14, 10 and 5? (a) 6 (b) 8 (c) 7 (d) 9
  28. 28.What is the mean of 10, 5, 20, 19 and 16? (a) 16 (b) 13 (c) 14 (d) 15
  29. 29.What is the mode of 4, 5, 11, 4, 4, 11 and 17? (a) 11 (b) 17 (c) 5 (d) 4
  30. 30.What is the median of 31, 22, 30, 1, 4, 20 and 8? (a) 22 (b) 20 (c) 8 (d) 1
  31. 31.What is the mode of 11, 14, 10, 20, 20, 11 and 20? (a) 14 (b) 20 (c) 11 (d) 10
  32. 32.The mean of 7 numbers is 36. When the number 12 is added to them, what is the new mean? (a) 33 (b) 24 (c) 36 (d) 34
  33. 33.What is the median of 9, 34, 29, 7 and 11? (a) 9 (b) 18 (c) 11 (d) 29
  34. 34.The mean of 6 numbers is 18. When the number 46 is added to them, what is the new mean? (a) 23 (b) 32 (c) 22 (d) 18
  35. 35.What is the mean of 18, 5, 11, 19, 16 and 9? (a) 15 (b) 14 (c) 12 (d) 13
  36. 36.What is the median of 10, 5, 36, 38 and 13? (a) 14 (b) 10 (c) 13 (d) 36
  37. 37.What is the mode of 11, 11, 6, 6, 6, 15 and 8? (a) 6 (b) 8 (c) 15 (d) 11
  38. 38.What is the mode of 16, 16, 1, 10, 1, 18 and 16? (a) 10 (b) 18 (c) 16 (d) 1
  39. 39.What is the mean of 14, 7, 18 and 13? (a) 12 (b) 14 (c) 15 (d) 13
  40. 40.What is the mean of 6, 18, 17 and 3? (a) 10 (b) 13 (c) 11 (d) 12

Answer key

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

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