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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 601 · 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 4, 2, 5, 2, 5, 18 and 2? (a) 2 (b) 18 (c) 5 (d) 4
  2. 2.What is the mode of 7, 4, 20, 12, 12, 12 and 20? (a) 4 (b) 7 (c) 12 (d) 20
  3. 3.What is the median of 35, 23, 26, 21 and 19? (a) 21 (b) 24 (c) 26 (d) 23
  4. 4.What is the median of 9, 7, 22, 39, 4, 36 and 19? (a) 19 (b) 22 (c) 39 (d) 9
  5. 5.What is the median of 13, 26, 35, 6 and 15? (a) 19 (b) 26 (c) 35 (d) 15
  6. 6.What is the mode of 11, 11, 20, 8, 11, 4 and 20? (a) 20 (b) 4 (c) 8 (d) 11
  7. 7.What is the mean of 4, 19, 2 and 19? (a) 13 (b) 10 (c) 12 (d) 11
  8. 8.What is the mean of 19, 3, 19, 14 and 5? (a) 12 (b) 10 (c) 15 (d) 13
  9. 9.What is the mean of 8, 13, 2 and 5? (a) 9 (b) 6 (c) 7 (d) 8
  10. 10.The mean of 5 numbers is 34. When the number 10 is added to them, what is the new mean? (a) 22 (b) 31 (c) 30 (d) 34
  11. 11.What is the median of 37, 10, 26, 12 and 5? (a) 18 (b) 10 (c) 26 (d) 12
  12. 12.What is the mean of 7, 13, 4, 6 and 10? (a) 7 (b) 9 (c) 8 (d) 10
  13. 13.What is the mean of 5, 18, 19, 16 and 17? (a) 14 (b) 15 (c) 17 (d) 16
  14. 14.What is the mode of 2, 1, 12, 16, 1, 1 and 2? (a) 16 (b) 1 (c) 12 (d) 2
  15. 15.What is the median of 2, 5, 36, 15 and 34? (a) 5 (b) 36 (c) 34 (d) 15
  16. 16.What is the mode of 5, 2, 2, 17, 2, 14 and 5? (a) 14 (b) 5 (c) 17 (d) 2
  17. 17.What is the mean of 8, 15, 19, 5, 11 and 20? (a) 12 (b) 15 (c) 13 (d) 14
  18. 18.What is the median of 7, 18, 22, 39, 34, 26 and 27? (a) 39 (b) 26 (c) 27 (d) 22
  19. 19.What is the median of 6, 15, 3, 4 and 12? (a) 12 (b) 3 (c) 8 (d) 6
  20. 20.The mean of 3 numbers is 12. When the number 20 is added to them, what is the new mean? (a) 15 (b) 12 (c) 14 (d) 16
  21. 21.What is the mean of 19, 9, 16, 6 and 5? (a) 13 (b) 10 (c) 12 (d) 11
  22. 22.What is the mode of 11, 2, 11, 11, 17, 14 and 17? (a) 14 (b) 17 (c) 11 (d) 2
  23. 23.The mean of 8 numbers is 29. When the number 65 is added to them, what is the new mean? (a) 34 (b) 33 (c) 47 (d) 29
  24. 24.What is the median of 3, 11, 10, 26, 35, 16 and 6? (a) 26 (b) 16 (c) 11 (d) 10
  25. 25.What is the mode of 19, 20, 7, 20, 20, 18 and 7? (a) 18 (b) 7 (c) 19 (d) 20
  26. 26.What is the mean of 17, 5, 8 and 14? (a) 13 (b) 10 (c) 12 (d) 11
  27. 27.What is the mean of 4, 4, 14, 14 and 9? (a) 9 (b) 10 (c) 8 (d) 11
  28. 28.What is the mean of 18, 4, 10 and 20? (a) 12 (b) 15 (c) 14 (d) 13
  29. 29.What is the median of 33, 25, 2, 38, 10, 18 and 15? (a) 38 (b) 15 (c) 25 (d) 18
  30. 30.What is the median of 26, 7, 6, 3, 17, 1 and 11? (a) 11 (b) 6 (c) 3 (d) 7
  31. 31.What is the mean of 15, 13, 6, 2, 7 and 11? (a) 11 (b) 9 (c) 10 (d) 8
  32. 32.The mean of 6 numbers is 28. When the number 21 is added to them, what is the new mean? (a) 28 (b) 26 (c) 29 (d) 27
  33. 33.What is the mean of 18, 19, 15, 8 and 20? (a) 17 (b) 20 (c) 15 (d) 16
  34. 34.What is the mode of 1, 19, 9, 14, 19, 19 and 14? (a) 9 (b) 14 (c) 1 (d) 19
  35. 35.What is the mean of 12, 18, 15, 6, 4 and 17? (a) 11 (b) 14 (c) 12 (d) 13
  36. 36.What is the mode of 5, 4, 5, 7, 1, 4 and 4? (a) 7 (b) 5 (c) 1 (d) 4
  37. 37.What is the mode of 10, 10, 16, 15, 10, 3 and 16? (a) 10 (b) 16 (c) 3 (d) 15
  38. 38.The mean of 7 numbers is 37. When the number 21 is added to them, what is the new mean? (a) 35 (b) 36 (c) 29 (d) 37
  39. 39.What is the mode of 5, 5, 19, 14, 4, 5 and 4? (a) 14 (b) 19 (c) 4 (d) 5
  40. 40.What is the mean of 2, 17, 10, 6, 5 and 8? (a) 7 (b) 9 (c) 10 (d) 8

Answer key

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

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