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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 609 · 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 median of 2, 29, 21, 7 and 35? (a) 22 (b) 7 (c) 21 (d) 29
  2. 2.The mean of 3 numbers is 29. When the number 41 is added to them, what is the new mean? (a) 29 (b) 32 (c) 35 (d) 33
  3. 3.The mean of 3 numbers is 22. When the number 38 is added to them, what is the new mean? (a) 30 (b) 26 (c) 22 (d) 27
  4. 4.What is the mode of 7, 7, 8, 16, 8, 8 and 4? (a) 16 (b) 4 (c) 8 (d) 7
  5. 5.What is the median of 15, 11, 32, 14, 38, 1 and 8? (a) 11 (b) 15 (c) 14 (d) 17
  6. 6.What is the mean of 19, 9, 20 and 20? (a) 19 (b) 16 (c) 17 (d) 18
  7. 7.What is the mode of 2, 8, 8, 5, 5, 5 and 15? (a) 2 (b) 5 (c) 15 (d) 8
  8. 8.What is the median of 36, 12, 40, 24 and 31? (a) 36 (b) 40 (c) 24 (d) 31
  9. 9.What is the median of 1, 34, 18, 7 and 32? (a) 18 (b) 32 (c) 7 (d) 19
  10. 10.What is the mode of 19, 13, 1, 1, 9, 19 and 1? (a) 9 (b) 19 (c) 13 (d) 1
  11. 11.What is the mean of 15, 7, 11, 9 and 13? (a) 13 (b) 12 (c) 10 (d) 11
  12. 12.What is the mode of 17, 17, 6, 6, 18, 17 and 10? (a) 18 (b) 6 (c) 17 (d) 10
  13. 13.What is the mean of 11, 10, 4, 20 and 10? (a) 13 (b) 12 (c) 10 (d) 11
  14. 14.The mean of 3 numbers is 28. When the number 40 is added to them, what is the new mean? (a) 32 (b) 28 (c) 34 (d) 31
  15. 15.What is the mode of 8, 12, 11, 11, 8, 2 and 8? (a) 12 (b) 8 (c) 11 (d) 2
  16. 16.What is the median of 17, 7, 4, 5 and 12? (a) 4 (b) 12 (c) 7 (d) 9
  17. 17.What is the median of 12, 34, 15, 22, 31, 29 and 28? (a) 22 (b) 27 (c) 29 (d) 28
  18. 18.What is the mean of 9, 3, 9 and 15? (a) 10 (b) 12 (c) 9 (d) 8
  19. 19.What is the mean of 4, 5, 2, 11 and 8? (a) 8 (b) 5 (c) 7 (d) 6
  20. 20.What is the mode of 11, 11, 12, 11, 12, 1 and 14? (a) 14 (b) 12 (c) 11 (d) 1
  21. 21.The mean of 8 numbers is 40. When the number 58 is added to them, what is the new mean? (a) 42 (b) 43 (c) 40 (d) 49
  22. 22.What is the mean of 15, 6, 12 and 11? (a) 11 (b) 13 (c) 12 (d) 10
  23. 23.What is the mean of 8, 4, 2, 4 and 17? (a) 6 (b) 7 (c) 8 (d) 9
  24. 24.The mean of 3 numbers is 17. When the number 21 is added to them, what is the new mean? (a) 17 (b) 20 (c) 19 (d) 18
  25. 25.The mean of 6 numbers is 11. When the number 39 is added to them, what is the new mean? (a) 11 (b) 15 (c) 16 (d) 25
  26. 26.The mean of 5 numbers is 23. When the number 47 is added to them, what is the new mean? (a) 28 (b) 23 (c) 27 (d) 35
  27. 27.What is the mode of 11, 13, 16, 2, 13, 13 and 16? (a) 11 (b) 16 (c) 13 (d) 2
  28. 28.What is the mean of 10, 2, 4, 7, 6 and 7? (a) 6 (b) 5 (c) 7 (d) 8
  29. 29.What is the mode of 18, 17, 18, 16, 16, 18 and 5? (a) 16 (b) 5 (c) 18 (d) 17
  30. 30.What is the median of 5, 33, 1, 18 and 30? (a) 18 (b) 30 (c) 1 (d) 5
  31. 31.What is the median of 25, 4, 11, 10 and 9? (a) 12 (b) 11 (c) 9 (d) 10
  32. 32.What is the median of 22, 25, 40, 30, 39, 38 and 11? (a) 38 (b) 31 (c) 30 (d) 25
  33. 33.What is the mode of 7, 20, 7, 20, 18, 20 and 3? (a) 20 (b) 3 (c) 18 (d) 7
  34. 34.What is the median of 36, 19, 30, 23 and 17? (a) 25 (b) 19 (c) 30 (d) 23
  35. 35.What is the mode of 14, 17, 17, 20, 11, 17 and 11? (a) 17 (b) 14 (c) 20 (d) 11
  36. 36.What is the median of 16, 40, 9, 2, 25, 19 and 39? (a) 16 (b) 19 (c) 2 (d) 25
  37. 37.What is the mode of 9, 5, 13, 13, 5, 5 and 2? (a) 2 (b) 13 (c) 9 (d) 5
  38. 38.What is the mean of 5, 18, 4 and 9? (a) 12 (b) 10 (c) 9 (d) 8
  39. 39.The mean of 7 numbers is 27. When the number 51 is added to them, what is the new mean? (a) 31 (b) 30 (c) 27 (d) 39
  40. 40.What is the mean of 20, 8, 10, 17, 18 and 11? (a) 14 (b) 12 (c) 15 (d) 13

Answer key

  1. 21
  2. 32
  3. 26
  4. 8
  5. 14
  6. 17
  7. 5
  8. 31
  9. 18
  10. 1
  11. 11
  12. 17
  13. 11
  14. 31
  15. 8
  16. 7
  17. 28
  18. 9
  19. 6
  20. 11
  21. 42
  22. 11
  23. 7
  24. 18
  25. 15
  26. 27
  27. 13
  28. 6
  29. 18
  30. 18
  31. 10
  32. 30
  33. 20
  34. 23
  35. 17
  36. 19
  37. 5
  38. 9
  39. 30
  40. 14

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