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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 604 · 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 32, 36, 2, 29 and 10? (a) 2 (b) 29 (c) 10 (d) 32
  2. 2.What is the mode of 18, 6, 18, 6, 14, 10 and 18? (a) 10 (b) 18 (c) 14 (d) 6
  3. 3.The mean of 8 numbers is 30. When the number 39 is added to them, what is the new mean? (a) 32 (b) 31 (c) 30 (d) 33
  4. 4.What is the mean of 12, 7, 20, 3 and 23? (a) 15 (b) 14 (c) 13 (d) 12
  5. 5.What is the mean of 5, 20, 12, 17 and 11? (a) 15 (b) 12 (c) 14 (d) 13
  6. 6.The mean of 4 numbers is 19. When the number 39 is added to them, what is the new mean? (a) 23 (b) 24 (c) 19 (d) 29
  7. 7.What is the mean of 5, 5, 7 and 11? (a) 6 (b) 9 (c) 7 (d) 8
  8. 8.The mean of 3 numbers is 18. When the number 34 is added to them, what is the new mean? (a) 26 (b) 23 (c) 18 (d) 22
  9. 9.What is the mean of 20, 9, 3, 4, 3 and 9? (a) 10 (b) 7 (c) 8 (d) 9
  10. 10.What is the mean of 13, 6, 3, 2 and 16? (a) 7 (b) 9 (c) 8 (d) 10
  11. 11.What is the median of 28, 16, 33, 18, 22, 13 and 40? (a) 28 (b) 23 (c) 18 (d) 22
  12. 12.What is the mean of 2, 10, 15, 14, 16 and 9? (a) 12 (b) 13 (c) 10 (d) 11
  13. 13.What is the median of 10, 12, 7, 8, 15, 19 and 1? (a) 12 (b) 10 (c) 8 (d) 11
  14. 14.What is the mean of 19, 13, 5, 17 and 6? (a) 10 (b) 13 (c) 15 (d) 12
  15. 15.What is the median of 28, 3, 7, 38 and 25? (a) 28 (b) 26 (c) 7 (d) 25
  16. 16.What is the median of 4, 11, 35, 27 and 21? (a) 35 (b) 27 (c) 11 (d) 21
  17. 17.What is the mode of 16, 16, 14, 16, 18, 18 and 6? (a) 16 (b) 14 (c) 18 (d) 6
  18. 18.The mean of 5 numbers is 39. When the number 63 is added to them, what is the new mean? (a) 44 (b) 39 (c) 51 (d) 43
  19. 19.What is the mean of 6, 6, 8 and 20? (a) 8 (b) 9 (c) 11 (d) 10
  20. 20.What is the mode of 20, 20, 2, 2, 1, 20 and 19? (a) 2 (b) 19 (c) 1 (d) 20
  21. 21.What is the mode of 8, 12, 11, 8, 11, 11 and 18? (a) 12 (b) 8 (c) 18 (d) 11
  22. 22.What is the mode of 18, 2, 7, 15, 7, 7 and 15? (a) 2 (b) 15 (c) 18 (d) 7
  23. 23.What is the mean of 6, 10, 6 and 14? (a) 12 (b) 10 (c) 8 (d) 9
  24. 24.What is the median of 19, 17, 15, 13 and 4? (a) 13 (b) 16 (c) 15 (d) 17
  25. 25.What is the mean of 13, 5, 17, 3 and 7? (a) 10 (b) 11 (c) 9 (d) 8
  26. 26.The mean of 7 numbers is 33. When the number 57 is added to them, what is the new mean? (a) 37 (b) 45 (c) 36 (d) 33
  27. 27.The mean of 6 numbers is 18. When the number 25 is added to them, what is the new mean? (a) 18 (b) 21 (c) 20 (d) 19
  28. 28.What is the mode of 1, 1, 6, 3, 3, 3 and 7? (a) 6 (b) 3 (c) 7 (d) 1
  29. 29.The mean of 7 numbers is 29. When the number 61 is added to them, what is the new mean? (a) 45 (b) 34 (c) 33 (d) 29
  30. 30.What is the mean of 5, 8, 18 and 17? (a) 13 (b) 11 (c) 12 (d) 16
  31. 31.The mean of 5 numbers is 18. When the number 36 is added to them, what is the new mean? (a) 21 (b) 27 (c) 22 (d) 18
  32. 32.What is the mean of 8, 10, 10 and 16? (a) 12 (b) 10 (c) 13 (d) 11
  33. 33.What is the mean of 12, 3, 2, 7 and 21? (a) 9 (b) 8 (c) 10 (d) 11
  34. 34.What is the mode of 10, 13, 8, 19, 8, 8 and 13? (a) 10 (b) 19 (c) 8 (d) 13
  35. 35.What is the mean of 16, 17, 11, 6 and 10? (a) 10 (b) 12 (c) 13 (d) 15
  36. 36.What is the mean of 5, 8, 19, 19, 19 and 20? (a) 14 (b) 18 (c) 16 (d) 15
  37. 37.What is the mean of 18, 20, 3 and 19? (a) 20 (b) 12 (c) 15 (d) 16
  38. 38.What is the mode of 20, 18, 16, 16, 20, 20 and 1? (a) 1 (b) 16 (c) 18 (d) 20
  39. 39.What is the mode of 17, 4, 11, 9, 17, 11 and 11? (a) 4 (b) 17 (c) 11 (d) 9
  40. 40.What is the median of 16, 28, 25, 39 and 29? (a) 28 (b) 27 (c) 25 (d) 29

Answer key

  1. 29
  2. 18
  3. 31
  4. 13
  5. 13
  6. 23
  7. 7
  8. 22
  9. 8
  10. 8
  11. 22
  12. 11
  13. 10
  14. 12
  15. 25
  16. 21
  17. 16
  18. 43
  19. 10
  20. 20
  21. 11
  22. 7
  23. 9
  24. 15
  25. 9
  26. 36
  27. 19
  28. 3
  29. 33
  30. 12
  31. 21
  32. 11
  33. 9
  34. 8
  35. 12
  36. 15
  37. 15
  38. 20
  39. 11
  40. 28

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