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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 301 · 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 mode of 4, 7, 18, 1, 7, 18 and 7? (a) 4 (b) 1 (c) 18 (d) 7
  2. 2.The mean of 8 numbers is 14. When the number 41 is added to them, what is the new mean? (a) 17 (b) 18 (c) 16 (d) 14
  3. 3.What is the mode of 8, 17, 8, 10, 8, 10 and 7? (a) 17 (b) 7 (c) 10 (d) 8
  4. 4.The mean of 7 numbers is 36. When the number 68 is added to them, what is the new mean? (a) 52 (b) 41 (c) 36 (d) 40
  5. 5.What is the median of 37, 28, 17, 19, 11, 14 and 32? (a) 17 (b) 28 (c) 19 (d) 20
  6. 6.What is the mean of 2, 12, 3, 19 and 19? (a) 12 (b) 11 (c) 10 (d) 13
  7. 7.What is the mode of 3, 7, 3, 14, 6, 6 and 3? (a) 7 (b) 3 (c) 14 (d) 6
  8. 8.What is the mode of 12, 20, 5, 5, 5, 1 and 12? (a) 1 (b) 20 (c) 5 (d) 12
  9. 9.What is the mode of 9, 9, 3, 6, 6, 9 and 11? (a) 3 (b) 11 (c) 6 (d) 9
  10. 10.What is the median of 9, 4, 6, 40 and 22? (a) 6 (b) 22 (c) 10 (d) 9
  11. 11.The mean of 9 numbers is 40. When the number 30 is added to them, what is the new mean? (a) 38 (b) 40 (c) 35 (d) 39
  12. 12.The mean of 3 numbers is 39. When the number 51 is added to them, what is the new mean? (a) 45 (b) 43 (c) 39 (d) 42
  13. 13.What is the mean of 10, 7, 11, 19 and 13? (a) 12 (b) 13 (c) 10 (d) 15
  14. 14.The mean of 7 numbers is 38. When the number 22 is added to them, what is the new mean? (a) 36 (b) 38 (c) 30 (d) 37
  15. 15.The mean of 9 numbers is 32. When the number 22 is added to them, what is the new mean? (a) 31 (b) 32 (c) 27 (d) 30
  16. 16.What is the mode of 12, 1, 2, 2, 12, 16 and 12? (a) 1 (b) 12 (c) 16 (d) 2
  17. 17.The mean of 4 numbers is 40. When the number 55 is added to them, what is the new mean? (a) 42 (b) 44 (c) 40 (d) 43
  18. 18.What is the mode of 8, 9, 2, 2, 2, 8 and 17? (a) 17 (b) 2 (c) 9 (d) 8
  19. 19.What is the mean of 2, 19, 5 and 18? (a) 12 (b) 10 (c) 11 (d) 13
  20. 20.The mean of 5 numbers is 35. When the number 41 is added to them, what is the new mean? (a) 38 (b) 37 (c) 35 (d) 36
  21. 21.The mean of 8 numbers is 20. When the number 29 is added to them, what is the new mean? (a) 20 (b) 23 (c) 22 (d) 21
  22. 22.What is the mode of 10, 10, 16, 17, 16, 10 and 19? (a) 17 (b) 10 (c) 19 (d) 16
  23. 23.The mean of 6 numbers is 12. When the number 26 is added to them, what is the new mean? (a) 15 (b) 14 (c) 12 (d) 19
  24. 24.What is the mean of 7, 5, 14 and 14? (a) 9 (b) 11 (c) 8 (d) 10
  25. 25.What is the mean of 11, 5, 11, 19 and 4? (a) 11 (b) 12 (c) 9 (d) 10
  26. 26.What is the mean of 5, 13, 17, 13, 14 and 4? (a) 11 (b) 12 (c) 13 (d) 10
  27. 27.What is the mean of 2, 2, 4 and 20? (a) 9 (b) 8 (c) 6 (d) 7
  28. 28.What is the mode of 3, 8, 6, 18, 8, 8 and 18? (a) 3 (b) 6 (c) 8 (d) 18
  29. 29.What is the mode of 19, 1, 11, 14, 14, 1 and 1? (a) 14 (b) 19 (c) 1 (d) 11
  30. 30.The mean of 6 numbers is 18. When the number 25 is added to them, what is the new mean? (a) 19 (b) 20 (c) 21 (d) 18
  31. 31.What is the mean of 14, 4, 3, 16 and 8? (a) 9 (b) 8 (c) 10 (d) 11
  32. 32.What is the mode of 15, 2, 8, 8, 2, 8 and 11? (a) 11 (b) 15 (c) 2 (d) 8
  33. 33.The mean of 6 numbers is 14. When the number 35 is added to them, what is the new mean? (a) 14 (b) 17 (c) 16 (d) 18
  34. 34.The mean of 9 numbers is 23. When the number 33 is added to them, what is the new mean? (a) 25 (b) 24 (c) 23 (d) 28
  35. 35.What is the mean of 9, 4, 6, 2 and 9? (a) 7 (b) 6 (c) 8 (d) 5
  36. 36.The mean of 5 numbers is 10. When the number 4 is added to them, what is the new mean? (a) 7 (b) 10 (c) 9 (d) 8
  37. 37.What is the mean of 17, 10, 7 and 6? (a) 8 (b) 10 (c) 9 (d) 11
  38. 38.What is the mean of 4, 14, 16, 9, 7 and 10? (a) 12 (b) 10 (c) 11 (d) 9
  39. 39.What is the median of 38, 12, 9, 24, 39, 21 and 20? (a) 20 (b) 21 (c) 24 (d) 22
  40. 40.What is the median of 35, 36, 12, 20 and 4? (a) 21 (b) 35 (c) 12 (d) 20

Answer key

  1. 7
  2. 17
  3. 8
  4. 40
  5. 19
  6. 11
  7. 3
  8. 5
  9. 9
  10. 9
  11. 39
  12. 42
  13. 12
  14. 36
  15. 31
  16. 12
  17. 43
  18. 2
  19. 11
  20. 36
  21. 21
  22. 10
  23. 14
  24. 10
  25. 10
  26. 11
  27. 7
  28. 8
  29. 1
  30. 19
  31. 9
  32. 8
  33. 17
  34. 24
  35. 6
  36. 9
  37. 10
  38. 10
  39. 21
  40. 20

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