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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 566 · 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 6, 12, 2, 10, 8 and 4? (a) 9 (b) 6 (c) 8 (d) 7
  2. 2.What is the median of 39, 19, 36, 4 and 22? (a) 22 (b) 24 (c) 36 (d) 19
  3. 3.What is the mode of 5, 17, 5, 20, 5, 17 and 9? (a) 20 (b) 9 (c) 5 (d) 17
  4. 4.The mean of 9 numbers is 23. When the number 53 is added to them, what is the new mean? (a) 23 (b) 38 (c) 27 (d) 26
  5. 5.What is the median of 7, 28, 31, 26 and 38? (a) 26 (b) 28 (c) 29 (d) 31
  6. 6.What is the mean of 2, 5, 14 and 7? (a) 9 (b) 7 (c) 6 (d) 8
  7. 7.What is the mode of 12, 17, 2, 17, 19, 17 and 12? (a) 2 (b) 17 (c) 19 (d) 12
  8. 8.What is the median of 7, 38, 37, 4 and 13? (a) 13 (b) 37 (c) 14 (d) 7
  9. 9.What is the mode of 15, 1, 3, 1, 1, 3 and 17? (a) 1 (b) 3 (c) 17 (d) 15
  10. 10.What is the mean of 13, 4, 11, 5 and 17? (a) 11 (b) 12 (c) 10 (d) 9
  11. 11.The mean of 7 numbers is 25. When the number 49 is added to them, what is the new mean? (a) 25 (b) 29 (c) 28 (d) 37
  12. 12.What is the mode of 10, 20, 8, 16, 20, 16 and 20? (a) 10 (b) 8 (c) 16 (d) 20
  13. 13.The mean of 3 numbers is 22. When the number 10 is added to them, what is the new mean? (a) 22 (b) 20 (c) 16 (d) 19
  14. 14.What is the mean of 3, 20, 17 and 12? (a) 15 (b) 12 (c) 14 (d) 13
  15. 15.What is the median of 29, 21, 20, 4, 15, 11 and 5? (a) 15 (b) 20 (c) 11 (d) 4
  16. 16.What is the mode of 13, 8, 8, 19, 19, 8 and 18? (a) 18 (b) 19 (c) 13 (d) 8
  17. 17.What is the median of 12, 4, 38, 11 and 9? (a) 38 (b) 12 (c) 9 (d) 11
  18. 18.What is the mode of 19, 19, 7, 13, 7, 5 and 7? (a) 13 (b) 5 (c) 19 (d) 7
  19. 19.The mean of 8 numbers is 36. When the number 45 is added to them, what is the new mean? (a) 39 (b) 38 (c) 37 (d) 36
  20. 20.What is the mode of 14, 20, 15, 15, 20, 20 and 17? (a) 17 (b) 15 (c) 14 (d) 20
  21. 21.The mean of 6 numbers is 13. When the number 34 is added to them, what is the new mean? (a) 15 (b) 17 (c) 13 (d) 16
  22. 22.What is the mode of 17, 12, 5, 17, 4, 4 and 4? (a) 5 (b) 17 (c) 12 (d) 4
  23. 23.The mean of 9 numbers is 26. When the number 6 is added to them, what is the new mean? (a) 24 (b) 16 (c) 25 (d) 26
  24. 24.What is the mode of 14, 5, 6, 3, 6, 14 and 6? (a) 5 (b) 14 (c) 6 (d) 3
  25. 25.What is the mode of 2, 7, 8, 10, 10, 2 and 2? (a) 8 (b) 2 (c) 7 (d) 10
  26. 26.What is the median of 39, 24, 18, 32, 30, 1 and 11? (a) 32 (b) 24 (c) 18 (d) 30
  27. 27.What is the mode of 3, 15, 1, 3, 16, 3 and 15? (a) 15 (b) 1 (c) 16 (d) 3
  28. 28.What is the median of 9, 39, 12, 11 and 14? (a) 17 (b) 11 (c) 12 (d) 14
  29. 29.The mean of 4 numbers is 22. When the number 7 is added to them, what is the new mean? (a) 20 (b) 22 (c) 18 (d) 19
  30. 30.What is the median of 12, 9, 29, 10, 40, 5 and 36? (a) 13 (b) 29 (c) 12 (d) 10
  31. 31.What is the mean of 19, 7, 2, 19 and 13? (a) 13 (b) 12 (c) 10 (d) 15
  32. 32.The mean of 4 numbers is 33. When the number 28 is added to them, what is the new mean? (a) 33 (b) 32 (c) 31 (d) 34
  33. 33.What is the mean of 3, 5, 5 and 3? (a) 6 (b) 5 (c) 4 (d) 3
  34. 34.What is the mean of 18, 17, 5, 9 and 11? (a) 15 (b) 13 (c) 12 (d) 10
  35. 35.The mean of 3 numbers is 10. When the number 14 is added to them, what is the new mean? (a) 10 (b) 13 (c) 11 (d) 12
  36. 36.What is the mean of 20, 7, 6, 6, 12 and 15? (a) 10 (b) 11 (c) 13 (d) 12
  37. 37.What is the mean of 2, 14, 2, 2 and 15? (a) 7 (b) 9 (c) 8 (d) 6
  38. 38.What is the mean of 10, 12, 11, 9, 5 and 19? (a) 10 (b) 11 (c) 13 (d) 12
  39. 39.What is the median of 29, 10, 1, 39, 7, 14 and 40? (a) 14 (b) 29 (c) 39 (d) 20
  40. 40.The mean of 6 numbers is 39. When the number 60 is added to them, what is the new mean? (a) 42 (b) 41 (c) 43 (d) 39

Answer key

  1. 7
  2. 22
  3. 5
  4. 26
  5. 28
  6. 7
  7. 17
  8. 13
  9. 1
  10. 10
  11. 28
  12. 20
  13. 19
  14. 13
  15. 15
  16. 8
  17. 11
  18. 7
  19. 37
  20. 20
  21. 16
  22. 4
  23. 24
  24. 6
  25. 2
  26. 24
  27. 3
  28. 12
  29. 19
  30. 12
  31. 12
  32. 32
  33. 4
  34. 12
  35. 11
  36. 11
  37. 7
  38. 11
  39. 14
  40. 42

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