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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 621 · 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 1, 6, 28, 7, 5, 4 and 9? (a) 7 (b) 8 (c) 5 (d) 6
  2. 2.What is the mean of 10, 10, 12 and 12? (a) 11 (b) 13 (c) 12 (d) 10
  3. 3.The mean of 3 numbers is 15. When the number 11 is added to them, what is the new mean? (a) 13 (b) 16 (c) 15 (d) 14
  4. 4.What is the mode of 6, 5, 3, 5, 11, 11 and 11? (a) 3 (b) 11 (c) 6 (d) 5
  5. 5.What is the median of 32, 34, 36, 5 and 20? (a) 34 (b) 36 (c) 32 (d) 20
  6. 6.What is the median of 13, 37, 9, 34 and 31? (a) 9 (b) 34 (c) 31 (d) 13
  7. 7.What is the mean of 20, 4, 7 and 5? (a) 12 (b) 10 (c) 9 (d) 8
  8. 8.What is the mode of 15, 15, 13, 6, 15, 13 and 5? (a) 13 (b) 15 (c) 5 (d) 6
  9. 9.What is the mode of 19, 8, 20, 19, 20, 14 and 20? (a) 19 (b) 8 (c) 20 (d) 14
  10. 10.The mean of 5 numbers is 18. When the number 42 is added to them, what is the new mean? (a) 18 (b) 22 (c) 30 (d) 23
  11. 11.What is the mean of 5, 12, 15 and 20? (a) 13 (b) 12 (c) 14 (d) 15
  12. 12.The mean of 6 numbers is 10. When the number 38 is added to them, what is the new mean? (a) 24 (b) 10 (c) 15 (d) 14
  13. 13.What is the mode of 8, 8, 5, 1, 8, 14 and 1? (a) 5 (b) 14 (c) 1 (d) 8
  14. 14.What is the mean of 17, 10, 17 and 8? (a) 12 (b) 15 (c) 14 (d) 13
  15. 15.What is the mode of 7, 12, 2, 2, 2, 12 and 3? (a) 7 (b) 2 (c) 12 (d) 3
  16. 16.What is the mode of 18, 7, 18, 11, 18, 3 and 7? (a) 18 (b) 7 (c) 3 (d) 11
  17. 17.What is the median of 23, 39, 3, 34 and 7? (a) 3 (b) 7 (c) 23 (d) 34
  18. 18.The mean of 6 numbers is 31. When the number 17 is added to them, what is the new mean? (a) 24 (b) 31 (c) 30 (d) 29
  19. 19.The mean of 7 numbers is 33. When the number 1 is added to them, what is the new mean? (a) 29 (b) 17 (c) 30 (d) 33
  20. 20.What is the median of 21, 33, 27, 37 and 30? (a) 33 (b) 31 (c) 30 (d) 27
  21. 21.What is the mean of 13, 13, 12, 9, 19 and 6? (a) 11 (b) 12 (c) 13 (d) 14
  22. 22.The mean of 3 numbers is 35. When the number 51 is added to them, what is the new mean? (a) 39 (b) 35 (c) 40 (d) 43
  23. 23.What is the mode of 13, 18, 17, 1, 17, 13 and 13? (a) 17 (b) 1 (c) 18 (d) 13
  24. 24.What is the mean of 8, 11, 8 and 5? (a) 9 (b) 7 (c) 10 (d) 8
  25. 25.What is the mode of 18, 9, 9, 7, 5, 5 and 5? (a) 18 (b) 7 (c) 5 (d) 9
  26. 26.What is the mode of 5, 15, 12, 12, 12, 5 and 3? (a) 5 (b) 12 (c) 15 (d) 3
  27. 27.What is the mode of 1, 1, 5, 7, 1, 12 and 5? (a) 1 (b) 7 (c) 12 (d) 5
  28. 28.The mean of 4 numbers is 15. When the number 20 is added to them, what is the new mean? (a) 17 (b) 18 (c) 15 (d) 16
  29. 29.What is the median of 11, 38, 22, 31 and 23? (a) 22 (b) 25 (c) 31 (d) 23
  30. 30.What is the median of 26, 13, 10, 11, 18, 29 and 16? (a) 16 (b) 13 (c) 11 (d) 18
  31. 31.What is the median of 40, 31, 24, 28, 3, 35 and 12? (a) 29 (b) 24 (c) 28 (d) 31
  32. 32.What is the mean of 11, 20, 11, 17, 17 and 14? (a) 14 (b) 16 (c) 18 (d) 15
  33. 33.What is the mean of 2, 9, 11, 12, 4 and 16? (a) 11 (b) 8 (c) 10 (d) 9
  34. 34.What is the median of 28, 34, 13, 12 and 17? (a) 17 (b) 13 (c) 18 (d) 28
  35. 35.What is the mean of 7, 2, 6, 11 and 19? (a) 10 (b) 8 (c) 11 (d) 9
  36. 36.What is the median of 39, 29, 26, 37 and 33? (a) 29 (b) 33 (c) 26 (d) 37
  37. 37.What is the mode of 5, 5, 2, 4, 17, 2 and 2? (a) 5 (b) 4 (c) 17 (d) 2
  38. 38.What is the mean of 20, 14, 4, 8 and 14? (a) 10 (b) 15 (c) 13 (d) 12
  39. 39.What is the mode of 4, 15, 4, 20, 9, 20 and 4? (a) 4 (b) 20 (c) 9 (d) 15
  40. 40.What is the median of 27, 9, 38, 14, 29, 2 and 40? (a) 29 (b) 14 (c) 27 (d) 28

Answer key

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

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