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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 783 · 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 37, 40, 35, 4, 16, 38 and 32? (a) 4 (b) 32 (c) 37 (d) 35
  2. 2.What is the mean of 10, 20, 20, 12, 10 and 18? (a) 14 (b) 18 (c) 16 (d) 15
  3. 3.What is the median of 28, 10, 19, 2 and 17? (a) 18 (b) 10 (c) 17 (d) 19
  4. 4.What is the mean of 3, 9, 2 and 22? (a) 12 (b) 10 (c) 9 (d) 8
  5. 5.What is the mode of 4, 11, 1, 11, 6, 1 and 1? (a) 4 (b) 11 (c) 6 (d) 1
  6. 6.What is the mode of 5, 2, 18, 5, 2, 20 and 2? (a) 2 (b) 5 (c) 18 (d) 20
  7. 7.What is the mode of 3, 8, 10, 3, 10, 18 and 10? (a) 3 (b) 8 (c) 18 (d) 10
  8. 8.What is the median of 2, 38, 31, 5 and 27? (a) 28 (b) 31 (c) 27 (d) 5
  9. 9.The mean of 9 numbers is 31. When the number 51 is added to them, what is the new mean? (a) 41 (b) 31 (c) 34 (d) 33
  10. 10.What is the median of 15, 10, 12, 14 and 28? (a) 14 (b) 13 (c) 15 (d) 12
  11. 11.What is the median of 25, 8, 39, 27, 10, 9 and 5? (a) 25 (b) 9 (c) 27 (d) 10
  12. 12.What is the median of 27, 30, 26, 13, 11, 34 and 22? (a) 13 (b) 27 (c) 22 (d) 26
  13. 13.The mean of 7 numbers is 16. When the number 24 is added to them, what is the new mean? (a) 18 (b) 20 (c) 16 (d) 17
  14. 14.What is the median of 39, 11, 3, 8, 27, 26 and 30? (a) 27 (b) 8 (c) 11 (d) 26
  15. 15.The mean of 4 numbers is 18. When the number 28 is added to them, what is the new mean? (a) 20 (b) 23 (c) 21 (d) 18
  16. 16.What is the median of 10, 12, 25, 36, 20, 31 and 8? (a) 12 (b) 25 (c) 36 (d) 20
  17. 17.What is the median of 17, 13, 24, 36 and 7? (a) 17 (b) 13 (c) 18 (d) 24
  18. 18.What is the mean of 9, 10, 2, 9, 4 and 8? (a) 9 (b) 6 (c) 7 (d) 8
  19. 19.What is the median of 24, 5, 23, 26 and 27? (a) 21 (b) 23 (c) 24 (d) 26
  20. 20.The mean of 5 numbers is 35. When the number 53 is added to them, what is the new mean? (a) 44 (b) 35 (c) 38 (d) 39
  21. 21.What is the mode of 15, 10, 20, 20, 20, 15 and 1? (a) 1 (b) 20 (c) 10 (d) 15
  22. 22.What is the median of 37, 38, 25, 12 and 20? (a) 20 (b) 26 (c) 25 (d) 37
  23. 23.The mean of 3 numbers is 14. When the number 6 is added to them, what is the new mean? (a) 14 (b) 12 (c) 13 (d) 10
  24. 24.What is the mean of 12, 2, 2, 14 and 20? (a) 11 (b) 9 (c) 12 (d) 10
  25. 25.What is the mean of 16, 7, 2 and 11? (a) 8 (b) 10 (c) 9 (d) 12
  26. 26.What is the median of 18, 11, 15, 1 and 5? (a) 11 (b) 5 (c) 15 (d) 10
  27. 27.What is the median of 21, 1, 28, 15 and 30? (a) 15 (b) 28 (c) 19 (d) 21
  28. 28.The mean of 6 numbers is 33. When the number 40 is added to them, what is the new mean? (a) 36 (b) 34 (c) 35 (d) 33
  29. 29.What is the mean of 8, 13, 6 and 17? (a) 13 (b) 10 (c) 12 (d) 11
  30. 30.The mean of 9 numbers is 15. When the number 45 is added to them, what is the new mean? (a) 30 (b) 15 (c) 18 (d) 19
  31. 31.What is the mean of 13, 20, 17 and 6? (a) 14 (b) 16 (c) 13 (d) 15
  32. 32.What is the median of 8, 9, 22, 28, 15, 2 and 6? (a) 9 (b) 8 (c) 15 (d) 28
  33. 33.What is the mean of 14, 14, 3, 18, 16 and 7? (a) 12 (b) 14 (c) 13 (d) 11
  34. 34.What is the mode of 6, 6, 6, 16, 5, 17 and 16? (a) 17 (b) 5 (c) 16 (d) 6
  35. 35.What is the mean of 8, 15, 10, 12 and 10? (a) 10 (b) 12 (c) 11 (d) 13
  36. 36.What is the median of 22, 15, 35, 9 and 32? (a) 32 (b) 22 (c) 15 (d) 35
  37. 37.What is the median of 16, 9, 6, 4 and 35? (a) 14 (b) 16 (c) 6 (d) 9
  38. 38.What is the median of 10, 38, 1, 17 and 23? (a) 1 (b) 23 (c) 10 (d) 17
  39. 39.What is the median of 16, 38, 26, 31 and 27? (a) 26 (b) 31 (c) 28 (d) 27
  40. 40.What is the mean of 12, 19, 4, 6, 19 and 6? (a) 13 (b) 12 (c) 11 (d) 10

Answer key

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

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