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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 53 · 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 13, 20, 9, 4, 12 and 8? (a) 10 (b) 11 (c) 13 (d) 12
  2. 2.What is the mean of 20, 15, 3, 9 and 8? (a) 13 (b) 12 (c) 11 (d) 10
  3. 3.What is the mean of 9, 6, 15 and 18? (a) 13 (b) 12 (c) 11 (d) 16
  4. 4.What is the median of 12, 20, 7, 10 and 4? (a) 7 (b) 11 (c) 10 (d) 12
  5. 5.What is the median of 21, 31, 6, 2, 12, 23 and 19? (a) 2 (b) 21 (c) 12 (d) 19
  6. 6.What is the mean of 9, 12, 2, 10, 8 and 7? (a) 10 (b) 8 (c) 9 (d) 7
  7. 7.The mean of 4 numbers is 39. When the number 59 is added to them, what is the new mean? (a) 44 (b) 39 (c) 49 (d) 43
  8. 8.What is the mean of 19, 15, 3, 4 and 19? (a) 15 (b) 13 (c) 12 (d) 10
  9. 9.What is the mean of 3, 14, 14 and 5? (a) 8 (b) 9 (c) 12 (d) 10
  10. 10.What is the mode of 20, 7, 16, 20, 7, 9 and 20? (a) 16 (b) 9 (c) 20 (d) 7
  11. 11.The mean of 7 numbers is 38. When the number 30 is added to them, what is the new mean? (a) 37 (b) 36 (c) 34 (d) 38
  12. 12.What is the mode of 12, 10, 10, 15, 12, 4 and 12? (a) 10 (b) 15 (c) 12 (d) 4
  13. 13.The mean of 4 numbers is 33. When the number 38 is added to them, what is the new mean? (a) 33 (b) 36 (c) 35 (d) 34
  14. 14.What is the mode of 11, 17, 14, 11, 16, 17 and 11? (a) 14 (b) 17 (c) 16 (d) 11
  15. 15.The mean of 9 numbers is 30. When the number 20 is added to them, what is the new mean? (a) 25 (b) 28 (c) 29 (d) 30
  16. 16.What is the mode of 3, 3, 19, 6, 6, 9 and 3? (a) 6 (b) 9 (c) 3 (d) 19
  17. 17.What is the mode of 9, 1, 6, 15, 6, 9 and 9? (a) 1 (b) 9 (c) 6 (d) 15
  18. 18.The mean of 6 numbers is 12. When the number 19 is added to them, what is the new mean? (a) 15 (b) 14 (c) 13 (d) 12
  19. 19.What is the mode of 11, 4, 19, 2, 11, 11 and 19? (a) 19 (b) 11 (c) 4 (d) 2
  20. 20.What is the mean of 13, 5, 10 and 4? (a) 9 (b) 8 (c) 7 (d) 10
  21. 21.What is the mode of 19, 8, 3, 1, 8, 8 and 1? (a) 3 (b) 19 (c) 1 (d) 8
  22. 22.What is the median of 29, 30, 19, 16, 34, 10 and 6? (a) 19 (b) 29 (c) 16 (d) 20
  23. 23.What is the median of 29, 27, 21, 7 and 3? (a) 7 (b) 27 (c) 21 (d) 22
  24. 24.What is the mean of 15, 16, 20 and 21? (a) 17 (b) 24 (c) 18 (d) 19
  25. 25.The mean of 6 numbers is 10. When the number 31 is added to them, what is the new mean? (a) 10 (b) 13 (c) 12 (d) 14
  26. 26.What is the mean of 13, 17, 19, 18, 14 and 21? (a) 19 (b) 17 (c) 18 (d) 16
  27. 27.The mean of 4 numbers is 16. When the number 36 is added to them, what is the new mean? (a) 21 (b) 20 (c) 16 (d) 26
  28. 28.What is the mean of 13, 15, 2, 6 and 19? (a) 11 (b) 10 (c) 13 (d) 12
  29. 29.What is the mode of 13, 7, 12, 7, 12, 7 and 10? (a) 10 (b) 13 (c) 7 (d) 12
  30. 30.The mean of 7 numbers is 34. When the number 26 is added to them, what is the new mean? (a) 32 (b) 30 (c) 33 (d) 34
  31. 31.What is the mean of 6, 17, 6 and 15? (a) 12 (b) 13 (c) 10 (d) 11
  32. 32.What is the mean of 5, 4, 19, 6 and 6? (a) 7 (b) 10 (c) 9 (d) 8
  33. 33.What is the mean of 6, 11, 18, 10, 16 and 17? (a) 14 (b) 12 (c) 15 (d) 13
  34. 34.What is the median of 24, 7, 28, 37, 8, 12 and 20? (a) 24 (b) 12 (c) 37 (d) 20
  35. 35.What is the mean of 20, 6, 15, 3, 2 and 8? (a) 10 (b) 11 (c) 8 (d) 9
  36. 36.The mean of 9 numbers is 37. When the number 57 is added to them, what is the new mean? (a) 37 (b) 39 (c) 40 (d) 47
  37. 37.What is the mode of 2, 5, 1, 5, 7, 2 and 5? (a) 2 (b) 1 (c) 7 (d) 5
  38. 38.What is the median of 24, 16, 4, 34 and 38? (a) 34 (b) 24 (c) 16 (d) 4
  39. 39.What is the mean of 5, 17, 12, 19 and 17? (a) 14 (b) 15 (c) 13 (d) 16
  40. 40.The mean of 3 numbers is 14. When the number 18 is added to them, what is the new mean? (a) 15 (b) 17 (c) 14 (d) 16

Answer key

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

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