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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 123 · 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 10, 6, 6 and 2? (a) 8 (b) 5 (c) 6 (d) 7
  2. 2.What is the mean of 2, 4, 16 and 18? (a) 9 (b) 8 (c) 10 (d) 11
  3. 3.What is the median of 27, 7, 39, 37, 40, 34 and 32? (a) 37 (b) 35 (c) 32 (d) 34
  4. 4.What is the median of 15, 8, 24, 31, 1, 5 and 13? (a) 15 (b) 31 (c) 13 (d) 8
  5. 5.The mean of 3 numbers is 28. When the number 44 is added to them, what is the new mean? (a) 36 (b) 33 (c) 32 (d) 28
  6. 6.What is the mean of 14, 11, 15, 4, 17 and 5? (a) 10 (b) 11 (c) 13 (d) 12
  7. 7.What is the mean of 3, 4, 9, 5 and 9? (a) 5 (b) 8 (c) 7 (d) 6
  8. 8.What is the mean of 14, 16, 14, 2 and 24? (a) 16 (b) 13 (c) 14 (d) 15
  9. 9.What is the mode of 9, 19, 9, 19, 19, 11 and 5? (a) 11 (b) 5 (c) 19 (d) 9
  10. 10.The mean of 6 numbers is 18. When the number 46 is added to them, what is the new mean? (a) 18 (b) 23 (c) 32 (d) 22
  11. 11.What is the mean of 6, 12, 3, 18, 10 and 23? (a) 11 (b) 14 (c) 12 (d) 13
  12. 12.What is the mean of 15, 14, 6, 13, 11 and 7? (a) 10 (b) 11 (c) 12 (d) 13
  13. 13.What is the mode of 5, 19, 5, 12, 15, 5 and 12? (a) 19 (b) 15 (c) 12 (d) 5
  14. 14.What is the median of 12, 1, 24, 33 and 6? (a) 6 (b) 13 (c) 24 (d) 12
  15. 15.What is the mean of 3, 14, 7 and 12? (a) 12 (b) 10 (c) 8 (d) 9
  16. 16.What is the mean of 3, 7, 19 and 15? (a) 10 (b) 12 (c) 11 (d) 13
  17. 17.What is the mode of 18, 18, 17, 15, 15, 8 and 15? (a) 17 (b) 15 (c) 8 (d) 18
  18. 18.The mean of 5 numbers is 29. When the number 41 is added to them, what is the new mean? (a) 31 (b) 35 (c) 32 (d) 29
  19. 19.What is the mean of 7, 7, 16 and 10? (a) 8 (b) 9 (c) 10 (d) 11
  20. 20.What is the mean of 16, 19, 9, 8, 11 and 21? (a) 12 (b) 14 (c) 15 (d) 13
  21. 21.What is the mean of 12, 12, 19 and 17? (a) 20 (b) 12 (c) 15 (d) 16
  22. 22.The mean of 4 numbers is 31. When the number 51 is added to them, what is the new mean? (a) 36 (b) 35 (c) 41 (d) 31
  23. 23.What is the median of 22, 32, 21, 34, 20, 23 and 2? (a) 23 (b) 21 (c) 34 (d) 22
  24. 24.The mean of 6 numbers is 10. When the number 24 is added to them, what is the new mean? (a) 17 (b) 13 (c) 10 (d) 12
  25. 25.What is the median of 37, 4, 9, 31 and 36? (a) 32 (b) 31 (c) 36 (d) 9
  26. 26.What is the median of 12, 2, 38, 9, 16, 23 and 36? (a) 9 (b) 12 (c) 16 (d) 23
  27. 27.What is the mean of 10, 9, 20, 9 and 7? (a) 13 (b) 10 (c) 12 (d) 11
  28. 28.What is the median of 27, 2, 11, 10, 33, 19 and 22? (a) 11 (b) 22 (c) 10 (d) 19
  29. 29.What is the mode of 4, 4, 11, 9, 4, 9 and 19? (a) 11 (b) 9 (c) 4 (d) 19
  30. 30.The mean of 4 numbers is 23. When the number 13 is added to them, what is the new mean? (a) 18 (b) 22 (c) 21 (d) 23
  31. 31.The mean of 3 numbers is 10. When the number 26 is added to them, what is the new mean? (a) 18 (b) 15 (c) 10 (d) 14
  32. 32.What is the median of 18, 39, 23, 6 and 5? (a) 18 (b) 6 (c) 19 (d) 23
  33. 33.What is the mean of 17, 17, 8, 13 and 20? (a) 16 (b) 17 (c) 15 (d) 14
  34. 34.What is the mean of 7, 11, 19, 18 and 15? (a) 13 (b) 15 (c) 16 (d) 14
  35. 35.The mean of 8 numbers is 40. When the number 13 is added to them, what is the new mean? (a) 40 (b) 37 (c) 36 (d) 38
  36. 36.The mean of 7 numbers is 32. When the number 40 is added to them, what is the new mean? (a) 32 (b) 34 (c) 33 (d) 36
  37. 37.What is the median of 36, 13, 25, 31 and 23? (a) 26 (b) 31 (c) 25 (d) 23
  38. 38.What is the mode of 2, 9, 13, 13, 2, 14 and 13? (a) 13 (b) 9 (c) 2 (d) 14
  39. 39.What is the median of 37, 16, 30, 8, 9, 18 and 32? (a) 16 (b) 8 (c) 30 (d) 18
  40. 40.The mean of 8 numbers is 30. When the number 66 is added to them, what is the new mean? (a) 34 (b) 30 (c) 48 (d) 35

Answer key

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

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