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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 965 · 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 18, 19, 34, 26, 7, 5 and 8? (a) 18 (b) 8 (c) 26 (d) 19
  2. 2.The mean of 5 numbers is 16. When the number 4 is added to them, what is the new mean? (a) 14 (b) 10 (c) 15 (d) 16
  3. 3.What is the mode of 7, 12, 5, 7, 5, 7 and 6? (a) 6 (b) 12 (c) 5 (d) 7
  4. 4.What is the mean of 12, 14, 11, 4 and 9? (a) 9 (b) 10 (c) 12 (d) 11
  5. 5.What is the mean of 15, 12, 4 and 5? (a) 12 (b) 8 (c) 10 (d) 9
  6. 6.What is the median of 26, 14, 10, 11, 38, 13 and 20? (a) 13 (b) 11 (c) 14 (d) 20
  7. 7.What is the mode of 4, 4, 20, 8, 4, 5 and 20? (a) 20 (b) 5 (c) 8 (d) 4
  8. 8.What is the mean of 5, 5, 15, 7 and 8? (a) 10 (b) 7 (c) 8 (d) 9
  9. 9.What is the mode of 16, 6, 16, 13, 16, 15 and 15? (a) 13 (b) 15 (c) 16 (d) 6
  10. 10.What is the mean of 2, 20, 19 and 19? (a) 16 (b) 15 (c) 20 (d) 12
  11. 11.What is the mean of 16, 8, 9, 14, 2 and 11? (a) 12 (b) 10 (c) 11 (d) 9
  12. 12.The mean of 3 numbers is 35. When the number 39 is added to them, what is the new mean? (a) 38 (b) 35 (c) 36 (d) 37
  13. 13.What is the mean of 2, 10, 3, 7 and 3? (a) 6 (b) 7 (c) 4 (d) 5
  14. 14.What is the median of 33, 30, 34, 1 and 25? (a) 34 (b) 30 (c) 33 (d) 25
  15. 15.What is the median of 2, 9, 14, 31 and 21? (a) 14 (b) 9 (c) 15 (d) 21
  16. 16.The mean of 3 numbers is 29. When the number 45 is added to them, what is the new mean? (a) 37 (b) 34 (c) 33 (d) 29
  17. 17.What is the mean of 16, 5, 12, 3 and 9? (a) 8 (b) 10 (c) 11 (d) 9
  18. 18.What is the median of 17, 4, 1, 32 and 34? (a) 32 (b) 1 (c) 17 (d) 4
  19. 19.What is the mode of 11, 4, 11, 20, 18, 11 and 18? (a) 18 (b) 4 (c) 11 (d) 20
  20. 20.What is the mode of 5, 13, 19, 5, 14, 14 and 14? (a) 14 (b) 19 (c) 13 (d) 5
  21. 21.The mean of 6 numbers is 10. When the number 24 is added to them, what is the new mean? (a) 13 (b) 17 (c) 10 (d) 12
  22. 22.The mean of 5 numbers is 33. When the number 27 is added to them, what is the new mean? (a) 30 (b) 32 (c) 31 (d) 33
  23. 23.The mean of 6 numbers is 30. When the number 9 is added to them, what is the new mean? (a) 30 (b) 28 (c) 27 (d) 26
  24. 24.What is the mode of 7, 5, 13, 5, 7, 18 and 7? (a) 5 (b) 7 (c) 13 (d) 18
  25. 25.What is the mode of 5, 4, 4, 16, 9, 4 and 9? (a) 4 (b) 16 (c) 5 (d) 9
  26. 26.What is the mean of 5, 7, 4, 8, 20 and 4? (a) 9 (b) 10 (c) 8 (d) 7
  27. 27.What is the mean of 6, 15, 4 and 3? (a) 6 (b) 8 (c) 7 (d) 9
  28. 28.What is the mode of 6, 11, 5, 11, 11, 20 and 6? (a) 20 (b) 11 (c) 5 (d) 6
  29. 29.What is the mode of 10, 10, 12, 14, 12, 17 and 12? (a) 14 (b) 12 (c) 10 (d) 17
  30. 30.The mean of 7 numbers is 33. When the number 17 is added to them, what is the new mean? (a) 25 (b) 32 (c) 33 (d) 31
  31. 31.What is the mode of 6, 13, 2, 18, 6, 13 and 6? (a) 13 (b) 2 (c) 6 (d) 18
  32. 32.What is the mode of 1, 15, 1, 11, 6, 11 and 11? (a) 11 (b) 6 (c) 1 (d) 15
  33. 33.What is the mode of 3, 6, 6, 7, 6, 3 and 5? (a) 6 (b) 3 (c) 7 (d) 5
  34. 34.What is the mean of 2, 7, 5, 4, 2 and 22? (a) 9 (b) 7 (c) 8 (d) 6
  35. 35.What is the mode of 18, 18, 8, 8, 15, 18 and 9? (a) 9 (b) 15 (c) 8 (d) 18
  36. 36.What is the mean of 4, 7, 6, 4, 14 and 19? (a) 11 (b) 10 (c) 9 (d) 8
  37. 37.What is the mode of 18, 14, 8, 14, 18, 1 and 14? (a) 14 (b) 8 (c) 18 (d) 1
  38. 38.What is the median of 22, 35, 23, 34 and 6? (a) 24 (b) 23 (c) 22 (d) 34
  39. 39.What is the median of 5, 6, 7, 4, 16, 12 and 17? (a) 4 (b) 12 (c) 7 (d) 6
  40. 40.What is the mode of 8, 1, 8, 17, 17, 8 and 5? (a) 17 (b) 1 (c) 5 (d) 8

Answer key

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

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