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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 204 · 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.The mean of 3 numbers is 23. When the number 31 is added to them, what is the new mean? (a) 23 (b) 27 (c) 25 (d) 26
  2. 2.What is the median of 10, 29, 37, 2, 40, 35 and 31? (a) 31 (b) 29 (c) 35 (d) 2
  3. 3.What is the mode of 3, 9, 1, 9, 9, 11 and 11? (a) 9 (b) 1 (c) 3 (d) 11
  4. 4.What is the mode of 16, 10, 10, 13, 10, 13 and 4? (a) 16 (b) 13 (c) 4 (d) 10
  5. 5.What is the mean of 19, 16, 7 and 6? (a) 16 (b) 11 (c) 12 (d) 13
  6. 6.The mean of 9 numbers is 14. When the number 34 is added to them, what is the new mean? (a) 24 (b) 14 (c) 16 (d) 17
  7. 7.What is the mean of 3, 5, 4, 12, 3 and 21? (a) 7 (b) 8 (c) 9 (d) 10
  8. 8.What is the median of 1, 12, 28, 2, 29, 27 and 7? (a) 27 (b) 7 (c) 2 (d) 12
  9. 9.The mean of 4 numbers is 36. When the number 46 is added to them, what is the new mean? (a) 41 (b) 39 (c) 36 (d) 38
  10. 10.What is the mean of 20, 17, 7, 18 and 8? (a) 13 (b) 16 (c) 14 (d) 15
  11. 11.What is the mean of 5, 20, 11, 9, 2 and 13? (a) 12 (b) 11 (c) 9 (d) 10
  12. 12.What is the median of 21, 38, 19, 35, 27, 16 and 25? (a) 25 (b) 27 (c) 35 (d) 21
  13. 13.What is the mode of 12, 12, 11, 16, 14, 16 and 16? (a) 11 (b) 14 (c) 16 (d) 12
  14. 14.What is the mode of 2, 2, 20, 16, 6, 6 and 6? (a) 16 (b) 2 (c) 6 (d) 20
  15. 15.What is the median of 36, 16, 33, 21 and 35? (a) 33 (b) 21 (c) 34 (d) 35
  16. 16.What is the mean of 6, 3, 14, 14 and 18? (a) 13 (b) 10 (c) 12 (d) 11
  17. 17.What is the median of 16, 1, 20, 15 and 17? (a) 16 (b) 15 (c) 17 (d) 20
  18. 18.What is the median of 23, 6, 18, 15, 25, 40 and 27? (a) 22 (b) 15 (c) 25 (d) 23
  19. 19.What is the mode of 11, 2, 11, 11, 13, 2 and 6? (a) 6 (b) 11 (c) 2 (d) 13
  20. 20.What is the mean of 4, 19, 18 and 11? (a) 12 (b) 14 (c) 15 (d) 13
  21. 21.What is the mean of 4, 17, 16, 5, 4 and 20? (a) 13 (b) 10 (c) 12 (d) 11
  22. 22.What is the mode of 14, 4, 14, 8, 14, 17 and 8? (a) 4 (b) 8 (c) 17 (d) 14
  23. 23.What is the mode of 19, 1, 1, 1, 7, 5 and 7? (a) 1 (b) 5 (c) 19 (d) 7
  24. 24.What is the mode of 17, 2, 10, 4, 17, 4 and 4? (a) 10 (b) 4 (c) 17 (d) 2
  25. 25.What is the mean of 9, 6, 8 and 21? (a) 13 (b) 10 (c) 12 (d) 11
  26. 26.What is the mode of 8, 12, 9, 11, 9, 11 and 11? (a) 9 (b) 11 (c) 8 (d) 12
  27. 27.What is the median of 7, 13, 11, 1 and 14? (a) 7 (b) 11 (c) 12 (d) 13
  28. 28.The mean of 8 numbers is 34. When the number 70 is added to them, what is the new mean? (a) 38 (b) 52 (c) 39 (d) 34
  29. 29.What is the mean of 10, 6, 14, 3, 7 and 8? (a) 9 (b) 7 (c) 10 (d) 8
  30. 30.What is the mode of 9, 8, 12, 8, 4, 4 and 4? (a) 8 (b) 9 (c) 12 (d) 4
  31. 31.What is the median of 14, 34, 28, 24 and 32? (a) 29 (b) 28 (c) 32 (d) 24
  32. 32.What is the mean of 13, 5, 11, 4, 9 and 18? (a) 11 (b) 10 (c) 9 (d) 12
  33. 33.What is the mode of 16, 6, 6, 16, 7, 6 and 1? (a) 16 (b) 7 (c) 1 (d) 6
  34. 34.The mean of 5 numbers is 27. When the number 51 is added to them, what is the new mean? (a) 39 (b) 32 (c) 27 (d) 31
  35. 35.The mean of 6 numbers is 20. When the number 6 is added to them, what is the new mean? (a) 20 (b) 13 (c) 18 (d) 19
  36. 36.What is the median of 20, 10, 36, 21 and 26? (a) 26 (b) 21 (c) 36 (d) 20
  37. 37.What is the median of 12, 35, 10, 31 and 38? (a) 12 (b) 10 (c) 31 (d) 35
  38. 38.The mean of 4 numbers is 13. When the number 28 is added to them, what is the new mean? (a) 16 (b) 17 (c) 15 (d) 13
  39. 39.What is the mode of 13, 8, 3, 9, 13, 9 and 13? (a) 3 (b) 9 (c) 13 (d) 8
  40. 40.What is the median of 33, 39, 6, 20 and 25? (a) 6 (b) 25 (c) 33 (d) 20

Answer key

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

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