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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 985 · 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 8, 20, 8, 9, 20, 16 and 20? (a) 8 (b) 20 (c) 16 (d) 9
  2. 2.What is the mode of 2, 7, 3, 17, 3, 7 and 7? (a) 2 (b) 7 (c) 17 (d) 3
  3. 3.What is the median of 13, 19, 2, 27 and 38? (a) 27 (b) 2 (c) 19 (d) 13
  4. 4.What is the mode of 15, 5, 18, 1, 15, 18 and 18? (a) 18 (b) 1 (c) 15 (d) 5
  5. 5.The mean of 7 numbers is 29. When the number 37 is added to them, what is the new mean? (a) 33 (b) 29 (c) 30 (d) 31
  6. 6.The mean of 4 numbers is 39. When the number 29 is added to them, what is the new mean? (a) 39 (b) 38 (c) 37 (d) 34
  7. 7.What is the mode of 13, 6, 6, 16, 5, 6 and 5? (a) 5 (b) 16 (c) 13 (d) 6
  8. 8.What is the mean of 6, 18, 4, 17 and 15? (a) 15 (b) 12 (c) 13 (d) 10
  9. 9.What is the mode of 8, 11, 7, 11, 8, 19 and 11? (a) 19 (b) 8 (c) 11 (d) 7
  10. 10.What is the median of 2, 3, 1, 35 and 23? (a) 23 (b) 3 (c) 1 (d) 2
  11. 11.What is the mode of 10, 18, 4, 10, 8, 10 and 4? (a) 4 (b) 18 (c) 8 (d) 10
  12. 12.What is the median of 11, 10, 35, 9, 39, 13 and 20? (a) 11 (b) 9 (c) 13 (d) 20
  13. 13.What is the mode of 3, 6, 16, 16, 3, 18 and 16? (a) 6 (b) 18 (c) 3 (d) 16
  14. 14.What is the mean of 16, 13, 5, 19, 10 and 21? (a) 12 (b) 13 (c) 14 (d) 15
  15. 15.What is the mode of 4, 4, 16, 4, 19, 6 and 16? (a) 19 (b) 6 (c) 16 (d) 4
  16. 16.What is the median of 10, 14, 16, 26, 21, 33 and 6? (a) 16 (b) 26 (c) 18 (d) 21
  17. 17.What is the median of 24, 28, 34, 31, 25, 40 and 27? (a) 31 (b) 27 (c) 29 (d) 28
  18. 18.What is the median of 32, 6, 19, 4, 30, 29 and 8? (a) 29 (b) 8 (c) 19 (d) 4
  19. 19.What is the mean of 11, 18, 16, 16, 14 and 15? (a) 18 (b) 16 (c) 15 (d) 14
  20. 20.The mean of 9 numbers is 26. When the number 66 is added to them, what is the new mean? (a) 30 (b) 46 (c) 31 (d) 26
  21. 21.What is the median of 13, 23, 40, 3, 37, 34 and 36? (a) 36 (b) 23 (c) 3 (d) 34
  22. 22.The mean of 5 numbers is 37. When the number 43 is added to them, what is the new mean? (a) 38 (b) 37 (c) 40 (d) 39
  23. 23.What is the median of 39, 22, 6, 7, 24, 36 and 33? (a) 22 (b) 33 (c) 24 (d) 7
  24. 24.What is the mean of 8, 11, 7, 15 and 14? (a) 13 (b) 11 (c) 12 (d) 10
  25. 25.The mean of 9 numbers is 11. When the number 51 is added to them, what is the new mean? (a) 31 (b) 16 (c) 15 (d) 11
  26. 26.What is the median of 21, 15, 31, 5, 16, 37 and 34? (a) 21 (b) 31 (c) 16 (d) 5
  27. 27.What is the mean of 10, 17, 2 and 3? (a) 9 (b) 7 (c) 10 (d) 8
  28. 28.What is the mode of 10, 2, 10, 12, 2, 2 and 13? (a) 13 (b) 2 (c) 10 (d) 12
  29. 29.The mean of 4 numbers is 40. When the number 35 is added to them, what is the new mean? (a) 40 (b) 41 (c) 39 (d) 38
  30. 30.The mean of 5 numbers is 38. When the number 62 is added to them, what is the new mean? (a) 43 (b) 38 (c) 50 (d) 42
  31. 31.The mean of 7 numbers is 32. When the number 56 is added to them, what is the new mean? (a) 44 (b) 32 (c) 35 (d) 36
  32. 32.What is the median of 25, 15, 39, 36, 6, 13 and 27? (a) 36 (b) 25 (c) 27 (d) 23
  33. 33.The mean of 8 numbers is 16. When the number 25 is added to them, what is the new mean? (a) 19 (b) 18 (c) 17 (d) 16
  34. 34.What is the mean of 3, 14, 9, 9, 8 and 17? (a) 10 (b) 12 (c) 11 (d) 9
  35. 35.What is the mean of 5, 5, 9, 4, 9 and 10? (a) 8 (b) 7 (c) 6 (d) 9
  36. 36.What is the mean of 18, 5, 11 and 14? (a) 13 (b) 11 (c) 16 (d) 12
  37. 37.What is the median of 10, 7, 36, 5 and 25? (a) 25 (b) 36 (c) 10 (d) 7
  38. 38.The mean of 6 numbers is 29. When the number 57 is added to them, what is the new mean? (a) 29 (b) 43 (c) 34 (d) 33
  39. 39.What is the mode of 6, 7, 8, 4, 8, 6 and 6? (a) 6 (b) 4 (c) 8 (d) 7
  40. 40.What is the median of 19, 33, 25, 11, 38, 13 and 21? (a) 11 (b) 21 (c) 19 (d) 25

Answer key

  1. 20
  2. 7
  3. 19
  4. 18
  5. 30
  6. 37
  7. 6
  8. 12
  9. 11
  10. 3
  11. 10
  12. 13
  13. 16
  14. 14
  15. 4
  16. 16
  17. 28
  18. 19
  19. 15
  20. 30
  21. 34
  22. 38
  23. 24
  24. 11
  25. 15
  26. 21
  27. 8
  28. 2
  29. 39
  30. 42
  31. 35
  32. 25
  33. 17
  34. 10
  35. 7
  36. 12
  37. 10
  38. 33
  39. 6
  40. 21

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