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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 973 · 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 4, 8, 20 and 4? (a) 8 (b) 10 (c) 9 (d) 12
  2. 2.What is the median of 20, 14, 26, 13, 24, 7 and 5? (a) 14 (b) 15 (c) 20 (d) 13
  3. 3.What is the mean of 16, 10, 15, 7, 3 and 9? (a) 10 (b) 11 (c) 9 (d) 12
  4. 4.What is the median of 33, 40, 31, 14 and 37? (a) 33 (b) 37 (c) 31 (d) 34
  5. 5.What is the median of 8, 1, 12, 5 and 13? (a) 9 (b) 12 (c) 8 (d) 5
  6. 6.What is the median of 14, 2, 20, 37 and 3? (a) 14 (b) 3 (c) 15 (d) 20
  7. 7.The mean of 7 numbers is 28. When the number 60 is added to them, what is the new mean? (a) 44 (b) 33 (c) 32 (d) 28
  8. 8.What is the mean of 20, 4, 10 and 14? (a) 12 (b) 16 (c) 13 (d) 11
  9. 9.What is the median of 20, 26, 13, 23, 16, 22 and 33? (a) 21 (b) 23 (c) 22 (d) 20
  10. 10.The mean of 6 numbers is 37. When the number 51 is added to them, what is the new mean? (a) 40 (b) 39 (c) 37 (d) 44
  11. 11.The mean of 3 numbers is 22. When the number 26 is added to them, what is the new mean? (a) 25 (b) 24 (c) 23 (d) 22
  12. 12.What is the mode of 4, 9, 17, 9, 4, 4 and 11? (a) 11 (b) 9 (c) 17 (d) 4
  13. 13.What is the mean of 4, 5, 11 and 12? (a) 8 (b) 10 (c) 7 (d) 9
  14. 14.What is the median of 8, 20, 26, 23, 14, 4 and 35? (a) 20 (b) 21 (c) 14 (d) 23
  15. 15.What is the median of 29, 3, 2, 38, 11, 4 and 18? (a) 38 (b) 18 (c) 11 (d) 15
  16. 16.What is the mode of 17, 3, 2, 17, 2, 4 and 17? (a) 3 (b) 2 (c) 4 (d) 17
  17. 17.What is the mode of 1, 2, 14, 1, 14, 1 and 17? (a) 2 (b) 17 (c) 1 (d) 14
  18. 18.What is the median of 15, 28, 25, 37 and 34? (a) 34 (b) 28 (c) 25 (d) 29
  19. 19.The mean of 4 numbers is 39. When the number 59 is added to them, what is the new mean? (a) 39 (b) 43 (c) 44 (d) 49
  20. 20.The mean of 4 numbers is 25. When the number 40 is added to them, what is the new mean? (a) 28 (b) 25 (c) 27 (d) 29
  21. 21.What is the mean of 20, 5, 15 and 20? (a) 20 (b) 16 (c) 12 (d) 15
  22. 22.What is the median of 24, 32, 11, 15, 38, 13 and 25? (a) 24 (b) 23 (c) 25 (d) 15
  23. 23.What is the median of 12, 28, 10, 40, 33, 2 and 9? (a) 40 (b) 12 (c) 28 (d) 10
  24. 24.The mean of 9 numbers is 26. When the number 46 is added to them, what is the new mean? (a) 29 (b) 28 (c) 36 (d) 26
  25. 25.What is the mean of 16, 16, 12 and 8? (a) 12 (b) 13 (c) 14 (d) 15
  26. 26.The mean of 4 numbers is 31. When the number 51 is added to them, what is the new mean? (a) 41 (b) 31 (c) 35 (d) 36
  27. 27.What is the mode of 15, 4, 18, 12, 12, 15 and 15? (a) 18 (b) 12 (c) 15 (d) 4
  28. 28.What is the mode of 7, 15, 7, 5, 7, 19 and 5? (a) 19 (b) 15 (c) 5 (d) 7
  29. 29.The mean of 5 numbers is 36. When the number 18 is added to them, what is the new mean? (a) 27 (b) 33 (c) 34 (d) 36
  30. 30.What is the median of 22, 11, 3, 26, 1, 10 and 20? (a) 20 (b) 26 (c) 10 (d) 11
  31. 31.What is the mean of 4, 13, 6 and 9? (a) 8 (b) 7 (c) 10 (d) 9
  32. 32.What is the median of 10, 37, 4, 20 and 36? (a) 4 (b) 10 (c) 36 (d) 20
  33. 33.What is the median of 37, 7, 39, 5, 36, 17 and 2? (a) 36 (b) 5 (c) 17 (d) 7
  34. 34.What is the mode of 5, 9, 20, 9, 5, 1 and 5? (a) 5 (b) 1 (c) 9 (d) 20
  35. 35.What is the mode of 16, 16, 17, 4, 4, 4 and 12? (a) 16 (b) 12 (c) 17 (d) 4
  36. 36.What is the mean of 3, 13, 9, 17, 10 and 8? (a) 12 (b) 11 (c) 10 (d) 9
  37. 37.What is the mean of 2, 20, 9, 10, 3 and 10? (a) 8 (b) 10 (c) 11 (d) 9
  38. 38.What is the mode of 7, 18, 19, 7, 18, 5 and 7? (a) 7 (b) 18 (c) 5 (d) 19
  39. 39.What is the median of 10, 22, 34, 9 and 21? (a) 22 (b) 21 (c) 10 (d) 34
  40. 40.What is the mode of 4, 20, 4, 12, 6, 12 and 4? (a) 4 (b) 20 (c) 12 (d) 6

Answer key

  1. 9
  2. 14
  3. 10
  4. 33
  5. 8
  6. 14
  7. 32
  8. 12
  9. 22
  10. 39
  11. 23
  12. 4
  13. 8
  14. 20
  15. 11
  16. 17
  17. 1
  18. 28
  19. 43
  20. 28
  21. 15
  22. 24
  23. 12
  24. 28
  25. 13
  26. 35
  27. 15
  28. 7
  29. 33
  30. 11
  31. 8
  32. 20
  33. 17
  34. 5
  35. 4
  36. 10
  37. 9
  38. 7
  39. 21
  40. 4

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