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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 530 · 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 mean of 8, 16, 12, 8 and 21? (a) 12 (b) 15 (c) 13 (d) 14
  2. 2.What is the mode of 12, 11, 11, 14, 14, 14 and 20? (a) 12 (b) 20 (c) 14 (d) 11
  3. 3.What is the median of 20, 17, 39, 22 and 18? (a) 20 (b) 22 (c) 18 (d) 39
  4. 4.What is the mode of 6, 8, 8, 1, 7, 1 and 1? (a) 1 (b) 8 (c) 7 (d) 6
  5. 5.What is the mean of 6, 6, 7, 18 and 8? (a) 10 (b) 11 (c) 8 (d) 9
  6. 6.What is the mean of 18, 3, 10, 20 and 9? (a) 13 (b) 12 (c) 15 (d) 10
  7. 7.What is the median of 3, 33, 9, 22 and 1? (a) 22 (b) 3 (c) 10 (d) 9
  8. 8.What is the median of 1, 27, 35, 9, 37, 2 and 33? (a) 9 (b) 27 (c) 28 (d) 33
  9. 9.The mean of 9 numbers is 40. When the number 10 is added to them, what is the new mean? (a) 25 (b) 40 (c) 37 (d) 38
  10. 10.What is the mean of 2, 5, 8, 7, 8 and 18? (a) 7 (b) 8 (c) 9 (d) 10
  11. 11.What is the mode of 9, 11, 11, 5, 14, 14 and 11? (a) 5 (b) 9 (c) 14 (d) 11
  12. 12.The mean of 5 numbers is 40. When the number 34 is added to them, what is the new mean? (a) 37 (b) 40 (c) 39 (d) 38
  13. 13.What is the mean of 4, 15, 3 and 18? (a) 10 (b) 11 (c) 8 (d) 9
  14. 14.The mean of 3 numbers is 26. When the number 18 is added to them, what is the new mean? (a) 22 (b) 25 (c) 24 (d) 26
  15. 15.What is the median of 37, 17, 33, 5 and 10? (a) 17 (b) 33 (c) 10 (d) 18
  16. 16.What is the mode of 6, 19, 14, 2, 19, 6 and 19? (a) 14 (b) 19 (c) 6 (d) 2
  17. 17.What is the mode of 1, 17, 19, 17, 13, 13 and 17? (a) 19 (b) 13 (c) 1 (d) 17
  18. 18.What is the mean of 16, 8, 16, 14, 19 and 17? (a) 14 (b) 18 (c) 15 (d) 16
  19. 19.What is the mean of 15, 7, 19 and 11? (a) 15 (b) 12 (c) 14 (d) 13
  20. 20.The mean of 4 numbers is 13. When the number 18 is added to them, what is the new mean? (a) 13 (b) 14 (c) 16 (d) 15
  21. 21.What is the mode of 4, 4, 6, 4, 6, 3 and 17? (a) 3 (b) 6 (c) 17 (d) 4
  22. 22.What is the median of 7, 26, 30, 11 and 25? (a) 26 (b) 25 (c) 30 (d) 11
  23. 23.The mean of 5 numbers is 39. When the number 45 is added to them, what is the new mean? (a) 41 (b) 40 (c) 39 (d) 42
  24. 24.What is the median of 11, 38, 18, 7 and 2? (a) 18 (b) 7 (c) 12 (d) 11
  25. 25.What is the mean of 13, 8, 6, 18 and 15? (a) 10 (b) 13 (c) 12 (d) 15
  26. 26.The mean of 9 numbers is 32. When the number 42 is added to them, what is the new mean? (a) 33 (b) 37 (c) 34 (d) 32
  27. 27.What is the mean of 17, 3, 12, 10, 3 and 9? (a) 9 (b) 10 (c) 8 (d) 11
  28. 28.What is the median of 31, 21, 24, 1, 12, 40 and 11? (a) 1 (b) 20 (c) 21 (d) 24
  29. 29.What is the mean of 9, 16, 8 and 7? (a) 9 (b) 11 (c) 10 (d) 8
  30. 30.What is the mean of 12, 17, 20 and 15? (a) 17 (b) 16 (c) 15 (d) 18
  31. 31.What is the mean of 13, 5, 2, 2 and 13? (a) 7 (b) 6 (c) 9 (d) 8
  32. 32.What is the median of 9, 1, 11, 15, 14, 24 and 6? (a) 11 (b) 14 (c) 9 (d) 15
  33. 33.What is the mode of 2, 14, 10, 13, 14, 14 and 10? (a) 14 (b) 13 (c) 2 (d) 10
  34. 34.What is the mode of 15, 6, 6, 7, 5, 5 and 5? (a) 6 (b) 5 (c) 15 (d) 7
  35. 35.What is the mode of 3, 11, 3, 3, 9, 15 and 9? (a) 15 (b) 3 (c) 11 (d) 9
  36. 36.What is the median of 11, 8, 19, 7, 28, 34 and 26? (a) 19 (b) 26 (c) 11 (d) 7
  37. 37.What is the mean of 15, 11, 18 and 4? (a) 13 (b) 11 (c) 12 (d) 16
  38. 38.What is the mode of 14, 11, 12, 11, 2, 12 and 11? (a) 12 (b) 11 (c) 2 (d) 14
  39. 39.What is the mean of 9, 17, 4 and 6? (a) 10 (b) 9 (c) 8 (d) 12
  40. 40.The mean of 9 numbers is 32. When the number 22 is added to them, what is the new mean? (a) 30 (b) 32 (c) 31 (d) 27

Answer key

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

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