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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 669 · 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, 12, 15 and 11? (a) 10 (b) 11 (c) 8 (d) 9
  2. 2.What is the mean of 7, 6, 9, 14 and 19? (a) 11 (b) 12 (c) 13 (d) 10
  3. 3.What is the mean of 15, 4, 5, 17, 7 and 12? (a) 11 (b) 12 (c) 9 (d) 10
  4. 4.What is the mean of 7, 4, 16, 2 and 6? (a) 9 (b) 7 (c) 8 (d) 6
  5. 5.What is the median of 36, 16, 15, 6, 30, 21 and 2? (a) 18 (b) 21 (c) 16 (d) 6
  6. 6.What is the median of 3, 23, 30, 39 and 4? (a) 24 (b) 23 (c) 4 (d) 30
  7. 7.What is the mode of 2, 10, 11, 19, 10, 10 and 2? (a) 2 (b) 11 (c) 19 (d) 10
  8. 8.What is the mean of 10, 11, 15, 5 and 19? (a) 10 (b) 13 (c) 15 (d) 12
  9. 9.What is the mean of 17, 13, 11, 19 and 10? (a) 13 (b) 15 (c) 14 (d) 16
  10. 10.What is the median of 29, 10, 33, 4 and 19? (a) 29 (b) 33 (c) 19 (d) 10
  11. 11.What is the median of 34, 17, 39, 5 and 31? (a) 34 (b) 31 (c) 17 (d) 39
  12. 12.What is the mean of 12, 15, 11, 13 and 9? (a) 13 (b) 15 (c) 12 (d) 10
  13. 13.The mean of 4 numbers is 32. When the number 37 is added to them, what is the new mean? (a) 33 (b) 32 (c) 34 (d) 35
  14. 14.The mean of 3 numbers is 20. When the number 32 is added to them, what is the new mean? (a) 26 (b) 24 (c) 20 (d) 23
  15. 15.What is the mean of 20, 2, 4, 3, 20 and 17? (a) 11 (b) 12 (c) 13 (d) 10
  16. 16.What is the mode of 3, 20, 4, 20, 12, 20 and 3? (a) 4 (b) 12 (c) 20 (d) 3
  17. 17.What is the median of 21, 7, 3, 9, 17, 16 and 12? (a) 9 (b) 12 (c) 16 (d) 13
  18. 18.What is the median of 37, 4, 3, 35, 10, 29 and 20? (a) 20 (b) 29 (c) 10 (d) 35
  19. 19.What is the mean of 13, 6, 15 and 14? (a) 11 (b) 13 (c) 12 (d) 16
  20. 20.What is the mode of 1, 7, 4, 20, 1, 1 and 20? (a) 4 (b) 7 (c) 20 (d) 1
  21. 21.What is the mean of 8, 9, 15, 10 and 18? (a) 10 (b) 15 (c) 13 (d) 12
  22. 22.What is the mean of 6, 15, 10, 8 and 16? (a) 10 (b) 12 (c) 11 (d) 13
  23. 23.What is the median of 17, 38, 6, 23, 11, 22 and 13? (a) 17 (b) 13 (c) 23 (d) 22
  24. 24.What is the mean of 11, 16, 13, 20, 17 and 25? (a) 18 (b) 19 (c) 16 (d) 17
  25. 25.What is the mode of 20, 8, 20, 8, 8, 11 and 3? (a) 20 (b) 3 (c) 11 (d) 8
  26. 26.What is the median of 5, 27, 22, 7 and 31? (a) 7 (b) 22 (c) 27 (d) 23
  27. 27.What is the mean of 9, 15, 8, 20 and 23? (a) 17 (b) 16 (c) 14 (d) 15
  28. 28.What is the mean of 6, 15, 4, 19, 8 and 8? (a) 10 (b) 12 (c) 9 (d) 11
  29. 29.What is the mode of 20, 11, 4, 3, 11, 20 and 20? (a) 3 (b) 11 (c) 20 (d) 4
  30. 30.The mean of 9 numbers is 26. When the number 6 is added to them, what is the new mean? (a) 24 (b) 26 (c) 16 (d) 25
  31. 31.What is the mode of 1, 1, 2, 10, 2, 4 and 1? (a) 4 (b) 10 (c) 1 (d) 2
  32. 32.What is the mode of 18, 6, 6, 4, 6, 18 and 12? (a) 6 (b) 4 (c) 18 (d) 12
  33. 33.What is the mode of 19, 1, 1, 19, 9, 19 and 7? (a) 9 (b) 1 (c) 19 (d) 7
  34. 34.What is the median of 39, 4, 12, 33, 27, 6 and 17? (a) 12 (b) 27 (c) 17 (d) 33
  35. 35.What is the median of 21, 2, 11, 40 and 6? (a) 21 (b) 11 (c) 6 (d) 16
  36. 36.What is the median of 5, 11, 9, 22 and 17? (a) 9 (b) 17 (c) 11 (d) 12
  37. 37.What is the median of 6, 22, 26, 29 and 20? (a) 20 (b) 22 (c) 23 (d) 26
  38. 38.What is the median of 6, 28, 35, 34 and 36? (a) 28 (b) 34 (c) 35 (d) 33
  39. 39.The mean of 4 numbers is 28. When the number 48 is added to them, what is the new mean? (a) 33 (b) 38 (c) 28 (d) 32
  40. 40.What is the median of 10, 27, 24, 25 and 19? (a) 25 (b) 19 (c) 24 (d) 21

Answer key

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

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