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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 917 · 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 18, 18, 6, 2, 6, 18 and 7? (a) 6 (b) 2 (c) 7 (d) 18
  2. 2.What is the mean of 3, 6, 3, 2 and 11? (a) 5 (b) 6 (c) 7 (d) 4
  3. 3.What is the mean of 14, 4, 18, 11 and 13? (a) 12 (b) 10 (c) 15 (d) 13
  4. 4.The mean of 8 numbers is 17. When the number 44 is added to them, what is the new mean? (a) 19 (b) 21 (c) 17 (d) 20
  5. 5.What is the mean of 7, 4, 15 and 18? (a) 10 (b) 11 (c) 12 (d) 13
  6. 6.The mean of 6 numbers is 22. When the number 1 is added to them, what is the new mean? (a) 18 (b) 19 (c) 20 (d) 22
  7. 7.What is the mode of 20, 19, 4, 20, 3, 4 and 20? (a) 20 (b) 3 (c) 4 (d) 19
  8. 8.What is the mean of 4, 7, 5, 10, 18 and 16? (a) 11 (b) 9 (c) 10 (d) 12
  9. 9.What is the median of 25, 14, 21, 34, 6, 32 and 38? (a) 34 (b) 32 (c) 21 (d) 25
  10. 10.What is the median of 37, 3, 11, 31, 19, 28 and 35? (a) 19 (b) 28 (c) 31 (d) 29
  11. 11.The mean of 3 numbers is 23. When the number 11 is added to them, what is the new mean? (a) 20 (b) 21 (c) 23 (d) 17
  12. 12.What is the mode of 17, 6, 1, 1, 17, 17 and 20? (a) 17 (b) 6 (c) 20 (d) 1
  13. 13.What is the mode of 6, 13, 13, 1, 10, 13 and 10? (a) 6 (b) 1 (c) 10 (d) 13
  14. 14.What is the mean of 18, 15, 2, 12 and 13? (a) 15 (b) 10 (c) 13 (d) 12
  15. 15.What is the mode of 1, 9, 19, 9, 19, 19 and 2? (a) 9 (b) 19 (c) 1 (d) 2
  16. 16.What is the mode of 3, 19, 17, 19, 3, 2 and 19? (a) 3 (b) 17 (c) 2 (d) 19
  17. 17.The mean of 9 numbers is 14. When the number 24 is added to them, what is the new mean? (a) 19 (b) 15 (c) 14 (d) 16
  18. 18.What is the mode of 17, 19, 10, 16, 10, 19 and 10? (a) 17 (b) 19 (c) 16 (d) 10
  19. 19.What is the median of 24, 22, 6, 21, 15, 32 and 14? (a) 20 (b) 15 (c) 22 (d) 21
  20. 20.What is the mean of 4, 12, 15 and 13? (a) 12 (b) 11 (c) 10 (d) 13
  21. 21.The mean of 9 numbers is 14. When the number 44 is added to them, what is the new mean? (a) 18 (b) 29 (c) 17 (d) 14
  22. 22.What is the median of 33, 5, 2, 27 and 15? (a) 2 (b) 5 (c) 27 (d) 15
  23. 23.What is the mean of 4, 8, 15, 7, 4 and 16? (a) 9 (b) 10 (c) 11 (d) 8
  24. 24.What is the mean of 3, 12, 5 and 16? (a) 8 (b) 12 (c) 9 (d) 10
  25. 25.What is the mode of 14, 8, 6, 5, 14, 5 and 5? (a) 8 (b) 6 (c) 14 (d) 5
  26. 26.What is the mean of 20, 15, 11 and 18? (a) 15 (b) 18 (c) 16 (d) 17
  27. 27.The mean of 5 numbers is 34. When the number 52 is added to them, what is the new mean? (a) 38 (b) 37 (c) 34 (d) 43
  28. 28.What is the median of 15, 6, 10, 22, 23, 8 and 29? (a) 10 (b) 15 (c) 22 (d) 16
  29. 29.What is the mean of 8, 13, 19, 18 and 7? (a) 14 (b) 13 (c) 12 (d) 15
  30. 30.What is the median of 9, 2, 5, 32, 29, 30 and 38? (a) 32 (b) 30 (c) 9 (d) 29
  31. 31.The mean of 7 numbers is 12. When the number 4 is added to them, what is the new mean? (a) 10 (b) 8 (c) 11 (d) 12
  32. 32.What is the mean of 2, 2, 9, 11 and 6? (a) 7 (b) 6 (c) 5 (d) 8
  33. 33.The mean of 4 numbers is 38. When the number 58 is added to them, what is the new mean? (a) 38 (b) 48 (c) 42 (d) 43
  34. 34.What is the median of 17, 25, 11, 18, 24, 1 and 6? (a) 18 (b) 17 (c) 16 (d) 11
  35. 35.What is the median of 7, 36, 15, 23 and 35? (a) 35 (b) 24 (c) 15 (d) 23
  36. 36.What is the mode of 7, 3, 3, 8, 15, 15 and 15? (a) 7 (b) 15 (c) 8 (d) 3
  37. 37.What is the mode of 4, 9, 4, 6, 20, 9 and 9? (a) 4 (b) 9 (c) 6 (d) 20
  38. 38.What is the mode of 12, 2, 15, 2, 2, 15 and 3? (a) 15 (b) 2 (c) 12 (d) 3
  39. 39.What is the mean of 9, 7, 5, 16 and 8? (a) 10 (b) 8 (c) 11 (d) 9
  40. 40.What is the mode of 3, 10, 17, 17, 19, 10 and 17? (a) 3 (b) 19 (c) 10 (d) 17

Answer key

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

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