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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 229 · 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 2, 3, 11, 18 and 16? (a) 12 (b) 9 (c) 11 (d) 10
  2. 2.What is the median of 32, 39, 35, 27, 38, 25 and 20? (a) 27 (b) 32 (c) 33 (d) 35
  3. 3.What is the median of 6, 21, 15, 3 and 33? (a) 16 (b) 6 (c) 21 (d) 15
  4. 4.What is the mode of 4, 18, 20, 18, 8, 20 and 18? (a) 20 (b) 4 (c) 8 (d) 18
  5. 5.What is the mean of 8, 13, 17, 14 and 23? (a) 17 (b) 14 (c) 15 (d) 16
  6. 6.What is the mean of 11, 13, 4, 14 and 13? (a) 13 (b) 11 (c) 10 (d) 12
  7. 7.What is the mean of 8, 20, 13, 18 and 11? (a) 15 (b) 16 (c) 13 (d) 14
  8. 8.What is the mode of 6, 7, 1, 6, 11, 6 and 1? (a) 6 (b) 11 (c) 7 (d) 1
  9. 9.What is the median of 6, 11, 9, 37 and 4? (a) 6 (b) 9 (c) 11 (d) 10
  10. 10.What is the median of 11, 40, 14, 33 and 38? (a) 14 (b) 38 (c) 34 (d) 33
  11. 11.The mean of 6 numbers is 39. When the number 32 is added to them, what is the new mean? (a) 38 (b) 37 (c) 39 (d) 40
  12. 12.What is the mode of 1, 8, 3, 3, 12, 1 and 3? (a) 12 (b) 8 (c) 3 (d) 1
  13. 13.What is the mode of 11, 8, 19, 8, 8, 1 and 11? (a) 11 (b) 8 (c) 19 (d) 1
  14. 14.What is the median of 5, 26, 18, 37, 17, 2 and 14? (a) 37 (b) 14 (c) 17 (d) 18
  15. 15.What is the median of 28, 15, 35, 11, 27, 33 and 7? (a) 27 (b) 15 (c) 28 (d) 11
  16. 16.What is the median of 32, 13, 1, 8 and 26? (a) 1 (b) 16 (c) 26 (d) 13
  17. 17.What is the mean of 16, 13, 10 and 5? (a) 11 (b) 13 (c) 12 (d) 10
  18. 18.What is the mean of 7, 8, 17, 18 and 20? (a) 13 (b) 14 (c) 16 (d) 15
  19. 19.What is the mode of 7, 19, 13, 7, 14, 13 and 13? (a) 14 (b) 7 (c) 13 (d) 19
  20. 20.What is the mean of 14, 8, 3 and 19? (a) 11 (b) 13 (c) 12 (d) 10
  21. 21.The mean of 8 numbers is 35. When the number 26 is added to them, what is the new mean? (a) 34 (b) 33 (c) 35 (d) 36
  22. 22.What is the mode of 5, 19, 15, 1, 19, 15 and 19? (a) 1 (b) 19 (c) 5 (d) 15
  23. 23.What is the median of 40, 30, 27, 36, 3, 14 and 1? (a) 36 (b) 27 (c) 30 (d) 14
  24. 24.What is the mean of 9, 19, 3 and 21? (a) 15 (b) 14 (c) 13 (d) 12
  25. 25.The mean of 4 numbers is 38. When the number 28 is added to them, what is the new mean? (a) 38 (b) 33 (c) 36 (d) 37
  26. 26.What is the mode of 1, 13, 2, 1, 13, 16 and 13? (a) 16 (b) 2 (c) 13 (d) 1
  27. 27.What is the mean of 5, 19, 12 and 12? (a) 16 (b) 11 (c) 12 (d) 13
  28. 28.What is the median of 29, 27, 23, 40 and 36? (a) 23 (b) 29 (c) 31 (d) 36
  29. 29.What is the mode of 11, 10, 10, 17, 17, 2 and 10? (a) 10 (b) 17 (c) 11 (d) 2
  30. 30.What is the median of 10, 9, 3, 37 and 4? (a) 10 (b) 9 (c) 3 (d) 4
  31. 31.What is the mean of 16, 17, 7, 12, 15 and 11? (a) 13 (b) 15 (c) 12 (d) 14
  32. 32.What is the mode of 7, 14, 7, 3, 3, 10 and 7? (a) 7 (b) 10 (c) 3 (d) 14
  33. 33.What is the median of 19, 7, 6, 1 and 20? (a) 8 (b) 7 (c) 6 (d) 19
  34. 34.What is the mode of 17, 2, 10, 19, 2, 2 and 17? (a) 10 (b) 17 (c) 19 (d) 2
  35. 35.What is the median of 18, 38, 22, 3 and 12? (a) 18 (b) 12 (c) 19 (d) 22
  36. 36.The mean of 7 numbers is 36. When the number 12 is added to them, what is the new mean? (a) 34 (b) 24 (c) 33 (d) 36
  37. 37.What is the mean of 4, 19, 16, 7 and 9? (a) 13 (b) 11 (c) 10 (d) 12
  38. 38.What is the median of 34, 13, 9, 39 and 19? (a) 19 (b) 34 (c) 13 (d) 9
  39. 39.What is the mean of 16, 18, 15 and 19? (a) 18 (b) 16 (c) 17 (d) 19
  40. 40.What is the mode of 6, 14, 5, 15, 6, 6 and 14? (a) 15 (b) 14 (c) 5 (d) 6

Answer key

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

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