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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 634 · 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 13, 2, 14, 2, 8, 8 and 2? (a) 13 (b) 2 (c) 8 (d) 14
  2. 2.What is the median of 34, 10, 3, 7 and 6? (a) 7 (b) 10 (c) 12 (d) 3
  3. 3.The mean of 5 numbers is 25. When the number 1 is added to them, what is the new mean? (a) 21 (b) 25 (c) 13 (d) 22
  4. 4.What is the median of 22, 19, 38, 8 and 37? (a) 38 (b) 22 (c) 19 (d) 37
  5. 5.What is the mean of 3, 19, 4 and 2? (a) 9 (b) 6 (c) 8 (d) 7
  6. 6.What is the mode of 6, 11, 11, 1, 17, 17 and 17? (a) 1 (b) 6 (c) 17 (d) 11
  7. 7.What is the mode of 4, 4, 13, 1, 13, 5 and 4? (a) 5 (b) 4 (c) 13 (d) 1
  8. 8.What is the median of 32, 7, 8, 17, 14, 18 and 13? (a) 15 (b) 13 (c) 14 (d) 17
  9. 9.What is the median of 2, 11, 1, 8, 31, 32 and 22? (a) 8 (b) 11 (c) 22 (d) 12
  10. 10.What is the median of 21, 36, 8, 31 and 10? (a) 8 (b) 21 (c) 31 (d) 10
  11. 11.What is the median of 6, 37, 40, 33 and 7? (a) 7 (b) 40 (c) 37 (d) 33
  12. 12.The mean of 9 numbers is 30. When the number 50 is added to them, what is the new mean? (a) 33 (b) 40 (c) 32 (d) 30
  13. 13.What is the mean of 2, 18, 19 and 17? (a) 16 (b) 14 (c) 13 (d) 15
  14. 14.What is the median of 12, 20, 9, 28 and 6? (a) 15 (b) 20 (c) 12 (d) 9
  15. 15.What is the mode of 12, 7, 12, 12, 14, 7 and 6? (a) 7 (b) 12 (c) 14 (d) 6
  16. 16.The mean of 7 numbers is 13. When the number 45 is added to them, what is the new mean? (a) 13 (b) 29 (c) 17 (d) 18
  17. 17.The mean of 4 numbers is 15. When the number 10 is added to them, what is the new mean? (a) 16 (b) 15 (c) 13 (d) 14
  18. 18.What is the mean of 7, 19, 3, 10 and 11? (a) 11 (b) 10 (c) 9 (d) 12
  19. 19.What is the mean of 4, 8, 2, 19, 20 and 7? (a) 10 (b) 9 (c) 11 (d) 12
  20. 20.What is the mode of 8, 16, 20, 15, 20, 20 and 16? (a) 15 (b) 16 (c) 20 (d) 8
  21. 21.What is the mean of 3, 18, 16, 4 and 24? (a) 12 (b) 14 (c) 15 (d) 13
  22. 22.What is the mean of 4, 16, 4 and 12? (a) 9 (b) 8 (c) 12 (d) 10
  23. 23.What is the median of 35, 9, 26, 21 and 1? (a) 22 (b) 21 (c) 26 (d) 9
  24. 24.What is the median of 28, 27, 18, 19, 1, 32 and 35? (a) 19 (b) 28 (c) 27 (d) 26
  25. 25.What is the mean of 3, 5, 9, 19, 11 and 13? (a) 11 (b) 12 (c) 9 (d) 10
  26. 26.What is the mean of 12, 3, 18, 13, 16 and 10? (a) 13 (b) 14 (c) 11 (d) 12
  27. 27.What is the mode of 12, 5, 5, 9, 5, 15 and 15? (a) 15 (b) 5 (c) 12 (d) 9
  28. 28.What is the mode of 4, 4, 17, 15, 6, 4 and 15? (a) 6 (b) 17 (c) 4 (d) 15
  29. 29.What is the mean of 9, 8, 3 and 8? (a) 8 (b) 9 (c) 7 (d) 6
  30. 30.What is the mean of 20, 7, 3, 3, 13 and 14? (a) 12 (b) 11 (c) 10 (d) 9
  31. 31.What is the mean of 4, 4, 17, 12, 2 and 15? (a) 9 (b) 11 (c) 8 (d) 10
  32. 32.What is the mean of 3, 9, 6 and 6? (a) 5 (b) 6 (c) 8 (d) 7
  33. 33.What is the median of 18, 10, 23, 40 and 37? (a) 18 (b) 24 (c) 37 (d) 23
  34. 34.What is the mode of 16, 10, 10, 6, 16, 16 and 5? (a) 10 (b) 16 (c) 6 (d) 5
  35. 35.What is the mean of 19, 3, 11 and 7? (a) 8 (b) 11 (c) 10 (d) 9
  36. 36.What is the median of 16, 37, 22, 35, 30, 24 and 5? (a) 22 (b) 30 (c) 35 (d) 24
  37. 37.What is the mean of 5, 4, 4, 10 and 7? (a) 6 (b) 5 (c) 8 (d) 7
  38. 38.What is the mean of 13, 13, 3 and 7? (a) 12 (b) 9 (c) 8 (d) 10
  39. 39.What is the mode of 4, 11, 8, 12, 12, 12 and 8? (a) 11 (b) 12 (c) 4 (d) 8
  40. 40.What is the median of 10, 11, 37, 34, 38, 32 and 19? (a) 33 (b) 19 (c) 34 (d) 32

Answer key

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

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