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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 535 · 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 17, 19, 8, 3 and 8? (a) 11 (b) 10 (c) 13 (d) 12
  2. 2.The mean of 6 numbers is 37. When the number 65 is added to them, what is the new mean? (a) 51 (b) 37 (c) 41 (d) 42
  3. 3.What is the median of 4, 11, 38, 9, 20, 32 and 22? (a) 11 (b) 20 (c) 22 (d) 9
  4. 4.What is the mean of 15, 7, 14 and 8? (a) 11 (b) 12 (c) 13 (d) 10
  5. 5.What is the median of 24, 8, 40, 7 and 38? (a) 40 (b) 24 (c) 8 (d) 38
  6. 6.What is the median of 3, 24, 38, 33 and 6? (a) 38 (b) 6 (c) 24 (d) 33
  7. 7.What is the mean of 8, 14, 2, 6 and 20? (a) 12 (b) 11 (c) 10 (d) 9
  8. 8.The mean of 9 numbers is 12. When the number 22 is added to them, what is the new mean? (a) 12 (b) 17 (c) 14 (d) 13
  9. 9.What is the median of 12, 25, 3, 24 and 13? (a) 12 (b) 3 (c) 24 (d) 13
  10. 10.What is the mode of 2, 17, 3, 3, 2, 12 and 2? (a) 17 (b) 2 (c) 3 (d) 12
  11. 11.What is the median of 24, 39, 13, 28, 6, 21 and 16? (a) 28 (b) 21 (c) 16 (d) 24
  12. 12.What is the mean of 3, 12, 20 and 9? (a) 10 (b) 12 (c) 11 (d) 13
  13. 13.The mean of 9 numbers is 26. When the number 6 is added to them, what is the new mean? (a) 25 (b) 24 (c) 16 (d) 26
  14. 14.The mean of 3 numbers is 38. When the number 26 is added to them, what is the new mean? (a) 32 (b) 38 (c) 35 (d) 36
  15. 15.The mean of 3 numbers is 18. When the number 14 is added to them, what is the new mean? (a) 18 (b) 17 (c) 19 (d) 16
  16. 16.The mean of 8 numbers is 31. When the number 40 is added to them, what is the new mean? (a) 33 (b) 34 (c) 32 (d) 31
  17. 17.The mean of 6 numbers is 39. When the number 46 is added to them, what is the new mean? (a) 42 (b) 39 (c) 41 (d) 40
  18. 18.The mean of 5 numbers is 22. When the number 28 is added to them, what is the new mean? (a) 24 (b) 23 (c) 25 (d) 22
  19. 19.What is the mean of 9, 8, 8, 16 and 4? (a) 10 (b) 11 (c) 9 (d) 8
  20. 20.The mean of 5 numbers is 34. When the number 46 is added to them, what is the new mean? (a) 37 (b) 40 (c) 34 (d) 36
  21. 21.What is the mode of 8, 19, 7, 7, 8, 16 and 8? (a) 19 (b) 16 (c) 7 (d) 8
  22. 22.What is the mean of 16, 6, 10, 6 and 7? (a) 8 (b) 9 (c) 11 (d) 10
  23. 23.What is the median of 35, 33, 15, 37 and 27? (a) 33 (b) 27 (c) 35 (d) 15
  24. 24.The mean of 6 numbers is 30. When the number 2 is added to them, what is the new mean? (a) 30 (b) 16 (c) 26 (d) 27
  25. 25.What is the median of 10, 17, 19, 8 and 35? (a) 17 (b) 10 (c) 18 (d) 19
  26. 26.What is the mode of 10, 4, 12, 4, 10, 10 and 2? (a) 4 (b) 12 (c) 2 (d) 10
  27. 27.What is the median of 9, 32, 11, 39 and 16? (a) 16 (b) 32 (c) 11 (d) 17
  28. 28.What is the mode of 2, 2, 2, 7, 16, 7 and 14? (a) 14 (b) 16 (c) 2 (d) 7
  29. 29.What is the mode of 19, 7, 18, 19, 6, 18 and 18? (a) 6 (b) 18 (c) 7 (d) 19
  30. 30.The mean of 9 numbers is 19. When the number 39 is added to them, what is the new mean? (a) 19 (b) 21 (c) 22 (d) 29
  31. 31.What is the mode of 9, 11, 5, 13, 13, 5 and 13? (a) 13 (b) 11 (c) 5 (d) 9
  32. 32.What is the mode of 15, 6, 6, 18, 5, 18 and 18? (a) 6 (b) 5 (c) 18 (d) 15
  33. 33.The mean of 6 numbers is 40. When the number 61 is added to them, what is the new mean? (a) 42 (b) 40 (c) 44 (d) 43
  34. 34.What is the mean of 4, 12, 5 and 11? (a) 9 (b) 10 (c) 7 (d) 8
  35. 35.What is the median of 38, 7, 33, 4, 37, 26 and 27? (a) 4 (b) 27 (c) 26 (d) 33
  36. 36.What is the median of 6, 15, 30, 2, 8, 14 and 23? (a) 15 (b) 8 (c) 2 (d) 14
  37. 37.What is the median of 3, 11, 38, 29 and 13? (a) 38 (b) 11 (c) 29 (d) 13
  38. 38.What is the mean of 5, 14, 4, 7 and 20? (a) 9 (b) 12 (c) 10 (d) 11
  39. 39.What is the mean of 16, 6, 12 and 14? (a) 16 (b) 11 (c) 12 (d) 13
  40. 40.What is the median of 28, 24, 9, 32, 6, 2 and 35? (a) 32 (b) 24 (c) 28 (d) 9

Answer key

  1. 11
  2. 41
  3. 20
  4. 11
  5. 24
  6. 24
  7. 10
  8. 13
  9. 13
  10. 2
  11. 21
  12. 11
  13. 24
  14. 35
  15. 17
  16. 32
  17. 40
  18. 23
  19. 9
  20. 36
  21. 8
  22. 9
  23. 33
  24. 26
  25. 17
  26. 10
  27. 16
  28. 2
  29. 18
  30. 21
  31. 13
  32. 18
  33. 43
  34. 8
  35. 27
  36. 14
  37. 13
  38. 10
  39. 12
  40. 24

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