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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 356 · 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, 11, 11, 6, 2, 11 and 10? (a) 2 (b) 10 (c) 11 (d) 6
  2. 2.The mean of 9 numbers is 39. When the number 29 is added to them, what is the new mean? (a) 39 (b) 38 (c) 34 (d) 37
  3. 3.What is the median of 21, 12, 7, 6 and 22? (a) 13 (b) 12 (c) 21 (d) 7
  4. 4.What is the mode of 4, 11, 17, 6, 11, 17 and 17? (a) 4 (b) 17 (c) 11 (d) 6
  5. 5.What is the mean of 17, 17, 11, 14 and 11? (a) 13 (b) 15 (c) 14 (d) 16
  6. 6.What is the mean of 16, 10, 7 and 11? (a) 13 (b) 11 (c) 10 (d) 12
  7. 7.What is the mean of 11, 4, 11 and 14? (a) 9 (b) 10 (c) 8 (d) 11
  8. 8.What is the mode of 14, 14, 12, 1, 13, 1 and 1? (a) 13 (b) 12 (c) 14 (d) 1
  9. 9.What is the median of 17, 33, 30, 40, 36, 13 and 29? (a) 40 (b) 29 (c) 33 (d) 30
  10. 10.What is the mode of 4, 1, 4, 1, 4, 7 and 3? (a) 4 (b) 7 (c) 1 (d) 3
  11. 11.What is the median of 9, 11, 40, 10 and 8? (a) 11 (b) 10 (c) 9 (d) 40
  12. 12.What is the mean of 16, 14, 19, 12, 13 and 10? (a) 14 (b) 15 (c) 13 (d) 12
  13. 13.What is the median of 3, 27, 13, 29, 36, 2 and 6? (a) 27 (b) 29 (c) 6 (d) 13
  14. 14.The mean of 4 numbers is 23. When the number 8 is added to them, what is the new mean? (a) 19 (b) 21 (c) 20 (d) 23
  15. 15.The mean of 9 numbers is 31. When the number 71 is added to them, what is the new mean? (a) 51 (b) 31 (c) 35 (d) 36
  16. 16.What is the median of 22, 2, 8, 38 and 5? (a) 8 (b) 15 (c) 5 (d) 22
  17. 17.What is the mode of 16, 19, 13, 2, 2, 19 and 19? (a) 2 (b) 16 (c) 19 (d) 13
  18. 18.The mean of 3 numbers is 29. When the number 45 is added to them, what is the new mean? (a) 34 (b) 29 (c) 33 (d) 37
  19. 19.What is the mode of 1, 10, 2, 10, 1, 10 and 18? (a) 10 (b) 1 (c) 18 (d) 2
  20. 20.What is the mean of 7, 12, 4, 18, 6 and 13? (a) 12 (b) 10 (c) 11 (d) 9
  21. 21.The mean of 5 numbers is 38. When the number 56 is added to them, what is the new mean? (a) 47 (b) 42 (c) 38 (d) 41
  22. 22.What is the mode of 14, 2, 15, 15, 7, 14 and 14? (a) 15 (b) 7 (c) 2 (d) 14
  23. 23.What is the mode of 5, 18, 9, 8, 5, 8 and 8? (a) 9 (b) 18 (c) 5 (d) 8
  24. 24.What is the median of 24, 28, 13, 15 and 10? (a) 13 (b) 18 (c) 24 (d) 15
  25. 25.The mean of 4 numbers is 13. When the number 8 is added to them, what is the new mean? (a) 14 (b) 13 (c) 11 (d) 12
  26. 26.What is the mode of 6, 11, 6, 15, 15, 9 and 6? (a) 9 (b) 6 (c) 11 (d) 15
  27. 27.The mean of 7 numbers is 31. When the number 39 is added to them, what is the new mean? (a) 35 (b) 33 (c) 32 (d) 31
  28. 28.What is the mean of 16, 3, 8, 10 and 13? (a) 9 (b) 11 (c) 10 (d) 12
  29. 29.What is the median of 2, 9, 27, 12, 7, 11 and 25? (a) 10 (b) 9 (c) 12 (d) 11
  30. 30.What is the mode of 2, 7, 15, 2, 6, 2 and 6? (a) 2 (b) 7 (c) 15 (d) 6
  31. 31.What is the mode of 12, 20, 12, 5, 2, 5 and 5? (a) 20 (b) 2 (c) 12 (d) 5
  32. 32.What is the median of 10, 40, 19, 25 and 32? (a) 26 (b) 19 (c) 25 (d) 32
  33. 33.What is the mean of 14, 18, 15, 8, 14 and 9? (a) 14 (b) 12 (c) 13 (d) 15
  34. 34.The mean of 5 numbers is 29. When the number 11 is added to them, what is the new mean? (a) 26 (b) 27 (c) 29 (d) 20
  35. 35.What is the median of 7, 29, 22, 26 and 11? (a) 11 (b) 26 (c) 22 (d) 19
  36. 36.What is the mode of 15, 16, 5, 16, 5, 16 and 2? (a) 16 (b) 15 (c) 2 (d) 5
  37. 37.What is the mean of 12, 8, 9, 7, 13 and 5? (a) 8 (b) 10 (c) 9 (d) 11
  38. 38.What is the mean of 20, 5, 15 and 20? (a) 15 (b) 12 (c) 16 (d) 20
  39. 39.What is the mean of 3, 9, 20, 17 and 16? (a) 15 (b) 13 (c) 12 (d) 14
  40. 40.What is the mean of 17, 3, 16, 5, 17 and 20? (a) 15 (b) 13 (c) 14 (d) 12

Answer key

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

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