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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 422 · 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 15, 13, 6, 8, 11 and 7? (a) 9 (b) 11 (c) 12 (d) 10
  2. 2.What is the median of 16, 19, 24, 38 and 35? (a) 25 (b) 24 (c) 19 (d) 35
  3. 3.The mean of 4 numbers is 18. When the number 38 is added to them, what is the new mean? (a) 23 (b) 18 (c) 22 (d) 28
  4. 4.What is the median of 40, 25, 11, 23, 17, 22 and 19? (a) 19 (b) 21 (c) 23 (d) 22
  5. 5.What is the mode of 12, 12, 6, 19, 19, 7 and 19? (a) 6 (b) 12 (c) 7 (d) 19
  6. 6.What is the median of 9, 20, 36, 3 and 19? (a) 36 (b) 19 (c) 20 (d) 9
  7. 7.What is the mode of 13, 6, 3, 1, 6, 13 and 6? (a) 13 (b) 3 (c) 6 (d) 1
  8. 8.What is the median of 12, 37, 39, 40 and 23? (a) 23 (b) 39 (c) 38 (d) 37
  9. 9.The mean of 8 numbers is 31. When the number 49 is added to them, what is the new mean? (a) 31 (b) 34 (c) 33 (d) 40
  10. 10.What is the median of 2, 37, 38, 28 and 3? (a) 38 (b) 28 (c) 3 (d) 37
  11. 11.What is the mode of 7, 9, 9, 14, 7, 9 and 6? (a) 6 (b) 9 (c) 7 (d) 14
  12. 12.What is the mode of 16, 2, 16, 17, 2, 4 and 16? (a) 4 (b) 17 (c) 2 (d) 16
  13. 13.What is the mean of 6, 16, 7 and 11? (a) 9 (b) 8 (c) 10 (d) 11
  14. 14.What is the mode of 11, 5, 11, 7, 11, 5 and 15? (a) 5 (b) 11 (c) 7 (d) 15
  15. 15.What is the mean of 5, 10, 9, 15 and 21? (a) 13 (b) 10 (c) 15 (d) 12
  16. 16.What is the mean of 11, 17, 10, 7 and 5? (a) 10 (b) 9 (c) 12 (d) 11
  17. 17.The mean of 5 numbers is 31. When the number 25 is added to them, what is the new mean? (a) 29 (b) 28 (c) 31 (d) 30
  18. 18.The mean of 7 numbers is 31. When the number 63 is added to them, what is the new mean? (a) 47 (b) 35 (c) 36 (d) 31
  19. 19.The mean of 8 numbers is 34. When the number 52 is added to them, what is the new mean? (a) 36 (b) 34 (c) 37 (d) 43
  20. 20.What is the median of 15, 34, 1, 33 and 16? (a) 16 (b) 1 (c) 33 (d) 15
  21. 21.The mean of 8 numbers is 28. When the number 46 is added to them, what is the new mean? (a) 31 (b) 28 (c) 37 (d) 30
  22. 22.What is the median of 15, 28, 14, 5 and 32? (a) 28 (b) 16 (c) 14 (d) 15
  23. 23.What is the median of 6, 14, 33, 19, 10, 15 and 28? (a) 14 (b) 19 (c) 15 (d) 16
  24. 24.What is the median of 17, 9, 21, 13 and 3? (a) 9 (b) 13 (c) 21 (d) 17
  25. 25.What is the mean of 11, 9, 3 and 5? (a) 8 (b) 6 (c) 7 (d) 9
  26. 26.What is the mode of 20, 4, 4, 20, 2, 4 and 8? (a) 20 (b) 4 (c) 2 (d) 8
  27. 27.What is the median of 2, 9, 30, 26 and 3? (a) 30 (b) 9 (c) 26 (d) 14
  28. 28.The mean of 8 numbers is 29. When the number 38 is added to them, what is the new mean? (a) 31 (b) 29 (c) 32 (d) 30
  29. 29.What is the mean of 10, 11, 14 and 21? (a) 15 (b) 14 (c) 13 (d) 16
  30. 30.What is the median of 1, 4, 33, 6 and 26? (a) 6 (b) 14 (c) 26 (d) 33
  31. 31.The mean of 5 numbers is 32. When the number 26 is added to them, what is the new mean? (a) 30 (b) 31 (c) 32 (d) 29
  32. 32.What is the mean of 4, 17, 5, 16 and 13? (a) 10 (b) 11 (c) 12 (d) 13
  33. 33.The mean of 7 numbers is 35. When the number 3 is added to them, what is the new mean? (a) 35 (b) 19 (c) 32 (d) 31
  34. 34.The mean of 9 numbers is 32. When the number 22 is added to them, what is the new mean? (a) 32 (b) 31 (c) 27 (d) 30
  35. 35.What is the mean of 5, 5, 7 and 19? (a) 10 (b) 8 (c) 9 (d) 12
  36. 36.What is the mode of 4, 1, 11, 4, 11, 16 and 4? (a) 16 (b) 11 (c) 4 (d) 1
  37. 37.What is the median of 8, 32, 6, 9, 27, 37 and 4? (a) 27 (b) 10 (c) 9 (d) 8
  38. 38.What is the mean of 14, 2, 10 and 18? (a) 11 (b) 13 (c) 12 (d) 10
  39. 39.What is the mode of 1, 1, 16, 13, 1, 3 and 16? (a) 1 (b) 3 (c) 16 (d) 13
  40. 40.What is the mean of 13, 5, 8, 13 and 11? (a) 12 (b) 9 (c) 11 (d) 10

Answer key

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

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