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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 837 · 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.The mean of 9 numbers is 18. When the number 48 is added to them, what is the new mean? (a) 22 (b) 21 (c) 18 (d) 33
  2. 2.What is the median of 29, 18, 35, 40 and 20? (a) 30 (b) 20 (c) 29 (d) 35
  3. 3.What is the median of 25, 3, 8, 6, 36, 9 and 7? (a) 7 (b) 8 (c) 9 (d) 6
  4. 4.The mean of 9 numbers is 34. When the number 64 is added to them, what is the new mean? (a) 38 (b) 34 (c) 37 (d) 49
  5. 5.The mean of 5 numbers is 18. When the number 6 is added to them, what is the new mean? (a) 18 (b) 17 (c) 16 (d) 12
  6. 6.What is the mode of 12, 2, 3, 8, 12, 3 and 12? (a) 12 (b) 3 (c) 8 (d) 2
  7. 7.What is the mode of 16, 16, 8, 10, 2, 8 and 16? (a) 8 (b) 10 (c) 16 (d) 2
  8. 8.The mean of 9 numbers is 35. When the number 75 is added to them, what is the new mean? (a) 40 (b) 55 (c) 39 (d) 35
  9. 9.What is the mean of 5, 20, 5, 15 and 10? (a) 12 (b) 11 (c) 13 (d) 10
  10. 10.What is the median of 25, 28, 35, 31 and 2? (a) 25 (b) 31 (c) 35 (d) 28
  11. 11.What is the median of 39, 16, 8, 15 and 4? (a) 14 (b) 8 (c) 16 (d) 15
  12. 12.What is the mode of 2, 20, 11, 20, 11, 20 and 3? (a) 11 (b) 2 (c) 3 (d) 20
  13. 13.What is the mode of 18, 8, 14, 7, 18, 14 and 18? (a) 8 (b) 18 (c) 14 (d) 7
  14. 14.What is the mode of 1, 20, 1, 12, 12, 13 and 12? (a) 1 (b) 12 (c) 13 (d) 20
  15. 15.What is the mean of 9, 10, 17, 11, 4 and 15? (a) 12 (b) 10 (c) 13 (d) 11
  16. 16.The mean of 9 numbers is 24. When the number 14 is added to them, what is the new mean? (a) 22 (b) 19 (c) 23 (d) 24
  17. 17.What is the mean of 10, 16, 10 and 20? (a) 15 (b) 14 (c) 16 (d) 13
  18. 18.What is the mode of 6, 7, 20, 20, 11, 7 and 7? (a) 20 (b) 11 (c) 7 (d) 6
  19. 19.What is the mean of 12, 8, 5, 20 and 15? (a) 15 (b) 10 (c) 12 (d) 13
  20. 20.What is the median of 1, 17, 40, 13, 39, 15 and 25? (a) 17 (b) 13 (c) 15 (d) 25
  21. 21.What is the median of 25, 14, 21, 1, 13, 35 and 39? (a) 14 (b) 1 (c) 21 (d) 25
  22. 22.What is the mode of 1, 5, 9, 1, 17, 17 and 17? (a) 1 (b) 5 (c) 9 (d) 17
  23. 23.What is the mean of 18, 20, 2 and 20? (a) 12 (b) 15 (c) 20 (d) 16
  24. 24.What is the median of 12, 3, 9, 28 and 5? (a) 10 (b) 5 (c) 9 (d) 12
  25. 25.What is the mode of 9, 2, 2, 2, 20, 11 and 20? (a) 20 (b) 11 (c) 2 (d) 9
  26. 26.What is the mean of 16, 18, 9, 4, 9 and 10? (a) 10 (b) 12 (c) 13 (d) 11
  27. 27.What is the mode of 2, 2, 7, 6, 7, 17 and 2? (a) 6 (b) 7 (c) 17 (d) 2
  28. 28.What is the mean of 2, 14, 4, 16, 3 and 3? (a) 7 (b) 8 (c) 9 (d) 6
  29. 29.What is the mean of 11, 5, 18, 14 and 17? (a) 15 (b) 12 (c) 14 (d) 13
  30. 30.What is the mode of 13, 18, 18, 18, 4, 13 and 20? (a) 18 (b) 20 (c) 13 (d) 4
  31. 31.What is the mean of 2, 17, 10, 10, 8 and 19? (a) 12 (b) 10 (c) 11 (d) 13
  32. 32.What is the mean of 16, 4, 15, 9, 11 and 11? (a) 12 (b) 10 (c) 13 (d) 11
  33. 33.The mean of 9 numbers is 29. When the number 49 is added to them, what is the new mean? (a) 31 (b) 32 (c) 29 (d) 39
  34. 34.What is the mode of 3, 9, 3, 3, 5, 9 and 2? (a) 5 (b) 9 (c) 2 (d) 3
  35. 35.The mean of 9 numbers is 24. When the number 64 is added to them, what is the new mean? (a) 44 (b) 24 (c) 28 (d) 29
  36. 36.What is the mean of 7, 4, 20, 18, 2 and 9? (a) 9 (b) 12 (c) 10 (d) 11
  37. 37.What is the mean of 12, 20, 19, 2 and 7? (a) 10 (b) 13 (c) 12 (d) 15
  38. 38.What is the mode of 1, 6, 18, 9, 9, 1 and 9? (a) 6 (b) 9 (c) 1 (d) 18
  39. 39.What is the mode of 6, 2, 6, 6, 1, 10 and 1? (a) 1 (b) 6 (c) 10 (d) 2
  40. 40.What is the mode of 6, 7, 6, 8, 6, 5 and 5? (a) 8 (b) 7 (c) 5 (d) 6

Answer key

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

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