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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 521 · 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 2, 1, 10, 2, 13, 1 and 1? (a) 1 (b) 10 (c) 13 (d) 2
  2. 2.What is the mode of 7, 6, 1, 4, 1, 4 and 1? (a) 6 (b) 7 (c) 4 (d) 1
  3. 3.What is the mean of 3, 2, 9, 3 and 13? (a) 7 (b) 5 (c) 8 (d) 6
  4. 4.What is the mode of 15, 6, 6, 11, 2, 11 and 11? (a) 11 (b) 6 (c) 2 (d) 15
  5. 5.What is the mean of 19, 3, 11, 7 and 20? (a) 15 (b) 13 (c) 12 (d) 10
  6. 6.What is the mode of 5, 2, 5, 5, 1, 20 and 1? (a) 20 (b) 1 (c) 2 (d) 5
  7. 7.What is the mode of 6, 4, 10, 6, 8, 4 and 4? (a) 6 (b) 4 (c) 10 (d) 8
  8. 8.The mean of 4 numbers is 31. When the number 36 is added to them, what is the new mean? (a) 32 (b) 33 (c) 31 (d) 34
  9. 9.What is the mean of 11, 3, 12, 4, 8 and 16? (a) 9 (b) 11 (c) 8 (d) 10
  10. 10.What is the mean of 2, 12, 15 and 19? (a) 11 (b) 12 (c) 16 (d) 13
  11. 11.What is the mean of 4, 9, 13 and 22? (a) 11 (b) 13 (c) 16 (d) 12
  12. 12.The mean of 3 numbers is 21. When the number 25 is added to them, what is the new mean? (a) 22 (b) 21 (c) 24 (d) 23
  13. 13.What is the mode of 14, 9, 9, 14, 9, 6 and 10? (a) 6 (b) 10 (c) 9 (d) 14
  14. 14.The mean of 6 numbers is 33. When the number 12 is added to them, what is the new mean? (a) 31 (b) 29 (c) 30 (d) 33
  15. 15.What is the median of 3, 16, 4, 33, 2, 31 and 32? (a) 4 (b) 33 (c) 31 (d) 16
  16. 16.What is the median of 11, 28, 37, 24 and 40? (a) 28 (b) 24 (c) 37 (d) 29
  17. 17.What is the mean of 15, 7, 17, 8, 19 and 18? (a) 13 (b) 12 (c) 14 (d) 15
  18. 18.The mean of 5 numbers is 27. When the number 15 is added to them, what is the new mean? (a) 26 (b) 21 (c) 25 (d) 27
  19. 19.What is the mean of 2, 18, 6 and 6? (a) 9 (b) 7 (c) 8 (d) 10
  20. 20.What is the median of 33, 31, 15, 34 and 18? (a) 33 (b) 18 (c) 15 (d) 31
  21. 21.What is the median of 33, 35, 24, 28 and 8? (a) 29 (b) 28 (c) 33 (d) 24
  22. 22.What is the median of 35, 9, 22, 11, 27, 15 and 30? (a) 22 (b) 15 (c) 11 (d) 27
  23. 23.What is the median of 16, 37, 17, 31 and 35? (a) 31 (b) 32 (c) 17 (d) 35
  24. 24.The mean of 3 numbers is 18. When the number 34 is added to them, what is the new mean? (a) 18 (b) 26 (c) 23 (d) 22
  25. 25.The mean of 6 numbers is 36. When the number 64 is added to them, what is the new mean? (a) 36 (b) 50 (c) 40 (d) 41
  26. 26.What is the median of 21, 40, 6, 32 and 18? (a) 18 (b) 32 (c) 21 (d) 6
  27. 27.What is the mode of 9, 2, 2, 5, 5, 10 and 5? (a) 2 (b) 9 (c) 10 (d) 5
  28. 28.The mean of 4 numbers is 19. When the number 14 is added to them, what is the new mean? (a) 20 (b) 18 (c) 19 (d) 17
  29. 29.What is the mean of 12, 6, 20, 6 and 16? (a) 13 (b) 10 (c) 12 (d) 15
  30. 30.The mean of 8 numbers is 33. When the number 60 is added to them, what is the new mean? (a) 33 (b) 35 (c) 37 (d) 36
  31. 31.What is the median of 1, 25, 7, 40, 12, 30 and 5? (a) 40 (b) 25 (c) 12 (d) 7
  32. 32.The mean of 4 numbers is 25. When the number 10 is added to them, what is the new mean? (a) 21 (b) 22 (c) 23 (d) 25
  33. 33.What is the mode of 1, 1, 18, 1, 18, 6 and 9? (a) 1 (b) 9 (c) 18 (d) 6
  34. 34.What is the mode of 13, 8, 5, 13, 5, 5 and 19? (a) 13 (b) 19 (c) 8 (d) 5
  35. 35.What is the median of 9, 7, 30, 6, 5, 38 and 8? (a) 7 (b) 6 (c) 8 (d) 9
  36. 36.The mean of 4 numbers is 26. When the number 46 is added to them, what is the new mean? (a) 30 (b) 26 (c) 31 (d) 36
  37. 37.The mean of 3 numbers is 32. When the number 20 is added to them, what is the new mean? (a) 26 (b) 29 (c) 32 (d) 30
  38. 38.What is the mean of 8, 10, 15 and 3? (a) 9 (b) 8 (c) 12 (d) 10
  39. 39.What is the median of 21, 17, 40, 36, 2, 13 and 18? (a) 36 (b) 17 (c) 18 (d) 21
  40. 40.What is the mean of 9, 20, 3 and 8? (a) 8 (b) 10 (c) 11 (d) 9

Answer key

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

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