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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 99 · 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 median of 31, 21, 14, 34 and 35? (a) 34 (b) 31 (c) 14 (d) 27
  2. 2.What is the mean of 18, 3, 19, 17 and 8? (a) 12 (b) 15 (c) 14 (d) 13
  3. 3.What is the mode of 12, 5, 19, 12, 5, 12 and 1? (a) 1 (b) 5 (c) 12 (d) 19
  4. 4.What is the mode of 4, 4, 16, 12, 12, 11 and 12? (a) 4 (b) 16 (c) 11 (d) 12
  5. 5.What is the median of 12, 37, 40, 13, 32, 16 and 9? (a) 16 (b) 32 (c) 13 (d) 17
  6. 6.What is the mode of 10, 20, 20, 13, 2, 10 and 20? (a) 10 (b) 13 (c) 20 (d) 2
  7. 7.What is the median of 5, 14, 34, 21, 12, 10 and 26? (a) 21 (b) 15 (c) 14 (d) 12
  8. 8.The mean of 5 numbers is 25. When the number 31 is added to them, what is the new mean? (a) 26 (b) 25 (c) 27 (d) 28
  9. 9.What is the median of 5, 16, 13, 29, 32, 30 and 19? (a) 16 (b) 20 (c) 29 (d) 19
  10. 10.What is the mean of 11, 6, 2, 16 and 5? (a) 7 (b) 9 (c) 10 (d) 8
  11. 11.What is the mean of 18, 9, 18, 12, 2 and 19? (a) 12 (b) 15 (c) 14 (d) 13
  12. 12.What is the mode of 20, 18, 9, 9, 3, 9 and 3? (a) 20 (b) 18 (c) 9 (d) 3
  13. 13.What is the median of 29, 7, 39, 36 and 30? (a) 36 (b) 39 (c) 30 (d) 29
  14. 14.What is the mode of 8, 3, 17, 1, 8, 8 and 17? (a) 17 (b) 1 (c) 3 (d) 8
  15. 15.What is the mode of 11, 5, 19, 19, 9, 5 and 19? (a) 9 (b) 19 (c) 11 (d) 5
  16. 16.What is the mode of 3, 6, 16, 6, 16, 7 and 16? (a) 7 (b) 3 (c) 16 (d) 6
  17. 17.The mean of 8 numbers is 18. When the number 36 is added to them, what is the new mean? (a) 18 (b) 21 (c) 20 (d) 27
  18. 18.What is the mean of 11, 16, 3 and 6? (a) 12 (b) 10 (c) 9 (d) 8
  19. 19.The mean of 3 numbers is 29. When the number 17 is added to them, what is the new mean? (a) 23 (b) 29 (c) 27 (d) 26
  20. 20.What is the median of 1, 16, 19, 36, 12, 34 and 28? (a) 28 (b) 19 (c) 36 (d) 16
  21. 21.What is the mode of 16, 19, 7, 19, 6, 6 and 6? (a) 7 (b) 6 (c) 19 (d) 16
  22. 22.What is the median of 21, 40, 4, 19 and 29? (a) 29 (b) 4 (c) 19 (d) 21
  23. 23.The mean of 3 numbers is 24. When the number 12 is added to them, what is the new mean? (a) 22 (b) 18 (c) 21 (d) 24
  24. 24.What is the median of 3, 23, 1, 9 and 27? (a) 23 (b) 1 (c) 9 (d) 3
  25. 25.What is the mean of 9, 16, 19, 17 and 19? (a) 15 (b) 20 (c) 16 (d) 17
  26. 26.What is the mean of 18, 4, 20, 11, 3 and 22? (a) 15 (b) 13 (c) 12 (d) 14
  27. 27.What is the median of 36, 12, 39, 24 and 14? (a) 25 (b) 24 (c) 36 (d) 39
  28. 28.What is the mode of 19, 4, 19, 4, 4, 18 and 10? (a) 10 (b) 18 (c) 19 (d) 4
  29. 29.What is the mean of 8, 19, 17 and 4? (a) 11 (b) 16 (c) 12 (d) 13
  30. 30.What is the median of 28, 21, 8, 7 and 20? (a) 21 (b) 20 (c) 19 (d) 8
  31. 31.What is the median of 29, 30, 35, 12 and 16? (a) 35 (b) 16 (c) 30 (d) 29
  32. 32.What is the median of 2, 23, 6, 11 and 38? (a) 23 (b) 11 (c) 6 (d) 16
  33. 33.What is the mode of 7, 3, 15, 10, 7, 3 and 7? (a) 7 (b) 15 (c) 10 (d) 3
  34. 34.The mean of 4 numbers is 32. When the number 22 is added to them, what is the new mean? (a) 30 (b) 32 (c) 31 (d) 27
  35. 35.What is the mode of 6, 15, 6, 19, 15, 6 and 4? (a) 4 (b) 19 (c) 15 (d) 6
  36. 36.What is the mode of 5, 5, 10, 2, 5, 6 and 6? (a) 10 (b) 6 (c) 5 (d) 2
  37. 37.What is the mode of 19, 19, 17, 17, 4, 19 and 1? (a) 19 (b) 1 (c) 17 (d) 4
  38. 38.What is the median of 25, 38, 7, 24 and 19? (a) 24 (b) 7 (c) 19 (d) 25
  39. 39.What is the median of 7, 23, 29, 26, 40, 2 and 8? (a) 23 (b) 8 (c) 26 (d) 24
  40. 40.The mean of 3 numbers is 20. When the number 16 is added to them, what is the new mean? (a) 18 (b) 21 (c) 20 (d) 19

Answer key

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

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