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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 795 · 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 5, 4, 1, 1, 4, 10 and 1? (a) 1 (b) 10 (c) 4 (d) 5
  2. 2.What is the median of 26, 4, 35, 12, 11, 18 and 28? (a) 26 (b) 19 (c) 12 (d) 18
  3. 3.The mean of 5 numbers is 29. When the number 17 is added to them, what is the new mean? (a) 29 (b) 23 (c) 27 (d) 28
  4. 4.What is the mean of 12, 9, 4 and 3? (a) 7 (b) 8 (c) 9 (d) 6
  5. 5.What is the mean of 11, 2, 2, 12, 3 and 18? (a) 10 (b) 9 (c) 8 (d) 7
  6. 6.What is the mean of 11, 7, 3, 11 and 8? (a) 10 (b) 7 (c) 9 (d) 8
  7. 7.What is the mode of 7, 7, 7, 2, 9, 9 and 3? (a) 3 (b) 7 (c) 2 (d) 9
  8. 8.What is the mean of 3, 16, 17, 9 and 10? (a) 12 (b) 13 (c) 11 (d) 10
  9. 9.The mean of 4 numbers is 12. When the number 17 is added to them, what is the new mean? (a) 15 (b) 14 (c) 13 (d) 12
  10. 10.What is the median of 19, 31, 30, 7 and 21? (a) 19 (b) 21 (c) 22 (d) 30
  11. 11.The mean of 3 numbers is 37. When the number 49 is added to them, what is the new mean? (a) 43 (b) 41 (c) 37 (d) 40
  12. 12.What is the mean of 18, 4, 13, 20, 6 and 5? (a) 12 (b) 13 (c) 11 (d) 10
  13. 13.What is the median of 31, 9, 1, 14, 8, 35 and 37? (a) 14 (b) 15 (c) 31 (d) 9
  14. 14.What is the mean of 16, 18, 19, 10 and 12? (a) 14 (b) 15 (c) 17 (d) 16
  15. 15.What is the mode of 12, 12, 16, 4, 3, 12 and 3? (a) 4 (b) 16 (c) 12 (d) 3
  16. 16.What is the median of 32, 20, 3, 30, 37, 29 and 28? (a) 30 (b) 31 (c) 29 (d) 28
  17. 17.The mean of 4 numbers is 11. When the number 16 is added to them, what is the new mean? (a) 14 (b) 12 (c) 11 (d) 13
  18. 18.What is the mode of 3, 3, 13, 7, 13, 4 and 13? (a) 3 (b) 4 (c) 13 (d) 7
  19. 19.What is the mode of 13, 19, 9, 19, 17, 17 and 17? (a) 9 (b) 19 (c) 17 (d) 13
  20. 20.What is the mean of 9, 2, 5, 4 and 10? (a) 8 (b) 5 (c) 7 (d) 6
  21. 21.What is the median of 38, 27, 11, 2 and 10? (a) 10 (b) 11 (c) 27 (d) 12
  22. 22.What is the mode of 11, 4, 7, 4, 17, 11 and 4? (a) 4 (b) 11 (c) 7 (d) 17
  23. 23.What is the median of 16, 25, 17, 27 and 39? (a) 27 (b) 26 (c) 17 (d) 25
  24. 24.The mean of 5 numbers is 35. When the number 47 is added to them, what is the new mean? (a) 38 (b) 35 (c) 37 (d) 41
  25. 25.What is the mean of 3, 20, 18 and 19? (a) 15 (b) 20 (c) 16 (d) 12
  26. 26.What is the mode of 3, 16, 10, 10, 16, 14 and 16? (a) 14 (b) 16 (c) 3 (d) 10
  27. 27.What is the mode of 19, 10, 2, 15, 15, 15 and 10? (a) 10 (b) 19 (c) 2 (d) 15
  28. 28.What is the mean of 18, 14, 16, 10 and 17? (a) 14 (b) 17 (c) 15 (d) 16
  29. 29.What is the mean of 9, 2, 11, 2, 13 and 5? (a) 8 (b) 9 (c) 7 (d) 6
  30. 30.What is the mean of 10, 9, 2, 9 and 20? (a) 9 (b) 10 (c) 12 (d) 11
  31. 31.The mean of 3 numbers is 25. When the number 21 is added to them, what is the new mean? (a) 25 (b) 26 (c) 24 (d) 23
  32. 32.The mean of 4 numbers is 37. When the number 32 is added to them, what is the new mean? (a) 38 (b) 36 (c) 37 (d) 35
  33. 33.What is the mean of 9, 3, 8 and 16? (a) 12 (b) 8 (c) 9 (d) 10
  34. 34.What is the median of 29, 13, 11, 5 and 10? (a) 11 (b) 13 (c) 12 (d) 10
  35. 35.What is the median of 33, 27, 6, 23 and 31? (a) 6 (b) 27 (c) 31 (d) 24
  36. 36.What is the median of 1, 13, 12, 14 and 7? (a) 11 (b) 13 (c) 7 (d) 12
  37. 37.What is the mode of 16, 6, 2, 6, 6, 2 and 18? (a) 2 (b) 6 (c) 16 (d) 18
  38. 38.What is the mean of 3, 3, 12, 13, 15 and 20? (a) 10 (b) 11 (c) 13 (d) 12
  39. 39.What is the mode of 18, 7, 6, 19, 6, 19 and 6? (a) 7 (b) 6 (c) 18 (d) 19
  40. 40.What is the median of 11, 32, 21, 24, 35, 40 and 36? (a) 24 (b) 33 (c) 35 (d) 32

Answer key

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

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