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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 667 · 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 16, 11, 9 and 20? (a) 13 (b) 16 (c) 15 (d) 14
  2. 2.What is the mean of 11, 11, 6, 16, 6 and 4? (a) 10 (b) 8 (c) 9 (d) 11
  3. 3.What is the mean of 17, 14, 9 and 20? (a) 12 (b) 15 (c) 20 (d) 16
  4. 4.What is the mean of 9, 18, 3, 17 and 8? (a) 10 (b) 12 (c) 11 (d) 13
  5. 5.What is the mean of 6, 16, 2, 8, 6 and 4? (a) 8 (b) 7 (c) 6 (d) 9
  6. 6.What is the mean of 14, 10, 14, 15 and 7? (a) 15 (b) 10 (c) 13 (d) 12
  7. 7.What is the median of 6, 13, 29, 30, 19, 5 and 18? (a) 30 (b) 18 (c) 19 (d) 13
  8. 8.The mean of 4 numbers is 21. When the number 41 is added to them, what is the new mean? (a) 31 (b) 21 (c) 26 (d) 25
  9. 9.What is the median of 40, 7, 17, 6 and 12? (a) 12 (b) 7 (c) 17 (d) 13
  10. 10.What is the mean of 19, 8, 2, 8, 16 and 19? (a) 13 (b) 11 (c) 14 (d) 12
  11. 11.What is the median of 34, 36, 37, 35, 27, 22 and 10? (a) 35 (b) 33 (c) 34 (d) 27
  12. 12.The mean of 3 numbers is 10. When the number 6 is added to them, what is the new mean? (a) 11 (b) 8 (c) 9 (d) 10
  13. 13.What is the mean of 10, 16, 17, 20, 11 and 22? (a) 17 (b) 15 (c) 16 (d) 18
  14. 14.What is the mode of 19, 5, 5, 20, 13, 13 and 13? (a) 19 (b) 13 (c) 20 (d) 5
  15. 15.What is the mode of 9, 9, 10, 1, 10, 10 and 2? (a) 10 (b) 1 (c) 2 (d) 9
  16. 16.What is the mean of 3, 9, 9 and 3? (a) 8 (b) 5 (c) 7 (d) 6
  17. 17.What is the mean of 3, 17, 4 and 20? (a) 12 (b) 13 (c) 11 (d) 10
  18. 18.The mean of 8 numbers is 34. When the number 7 is added to them, what is the new mean? (a) 30 (b) 32 (c) 31 (d) 34
  19. 19.What is the mean of 18, 10, 13, 12 and 2? (a) 10 (b) 11 (c) 12 (d) 13
  20. 20.What is the median of 9, 13, 31, 5 and 38? (a) 9 (b) 14 (c) 31 (d) 13
  21. 21.What is the mean of 12, 8, 5 and 3? (a) 6 (b) 8 (c) 9 (d) 7
  22. 22.What is the median of 8, 35, 39, 5 and 14? (a) 14 (b) 39 (c) 35 (d) 8
  23. 23.What is the mean of 18, 3, 15 and 8? (a) 11 (b) 10 (c) 12 (d) 13
  24. 24.What is the mean of 14, 9, 2 and 23? (a) 16 (b) 12 (c) 13 (d) 11
  25. 25.What is the mean of 4, 8, 15 and 5? (a) 9 (b) 10 (c) 7 (d) 8
  26. 26.What is the mean of 3, 15, 10 and 20? (a) 12 (b) 13 (c) 16 (d) 11
  27. 27.The mean of 8 numbers is 17. When the number 44 is added to them, what is the new mean? (a) 17 (b) 21 (c) 19 (d) 20
  28. 28.The mean of 8 numbers is 18. When the number 54 is added to them, what is the new mean? (a) 22 (b) 36 (c) 18 (d) 23
  29. 29.The mean of 4 numbers is 30. When the number 20 is added to them, what is the new mean? (a) 28 (b) 29 (c) 30 (d) 25
  30. 30.What is the mode of 1, 1, 18, 1, 9, 9 and 11? (a) 11 (b) 9 (c) 18 (d) 1
  31. 31.The mean of 6 numbers is 40. When the number 61 is added to them, what is the new mean? (a) 40 (b) 43 (c) 44 (d) 42
  32. 32.What is the mean of 5, 2, 4, 3, 9 and 13? (a) 5 (b) 8 (c) 7 (d) 6
  33. 33.What is the mean of 19, 10, 15, 10, 12 and 18? (a) 15 (b) 12 (c) 13 (d) 14
  34. 34.The mean of 5 numbers is 25. When the number 31 is added to them, what is the new mean? (a) 28 (b) 25 (c) 26 (d) 27
  35. 35.What is the mode of 12, 20, 8, 8, 19, 20 and 20? (a) 12 (b) 19 (c) 20 (d) 8
  36. 36.What is the mode of 14, 6, 14, 5, 14, 5 and 3? (a) 5 (b) 6 (c) 3 (d) 14
  37. 37.What is the median of 21, 12, 3, 35 and 36? (a) 12 (b) 21 (c) 35 (d) 3
  38. 38.What is the mode of 2, 8, 8, 15, 8, 12 and 12? (a) 8 (b) 15 (c) 12 (d) 2
  39. 39.The mean of 3 numbers is 20. When the number 36 is added to them, what is the new mean? (a) 28 (b) 20 (c) 25 (d) 24
  40. 40.What is the mode of 16, 15, 4, 3, 16, 16 and 4? (a) 15 (b) 4 (c) 16 (d) 3

Answer key

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

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