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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 467 · 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 9, 6, 9, 1, 16, 16 and 9? (a) 6 (b) 16 (c) 9 (d) 1
  2. 2.What is the median of 20, 9, 40, 8 and 31? (a) 31 (b) 20 (c) 9 (d) 40
  3. 3.What is the mode of 6, 20, 17, 20, 10, 6 and 20? (a) 20 (b) 10 (c) 6 (d) 17
  4. 4.The mean of 9 numbers is 26. When the number 46 is added to them, what is the new mean? (a) 36 (b) 29 (c) 26 (d) 28
  5. 5.What is the mean of 4, 17, 18 and 17? (a) 13 (b) 15 (c) 14 (d) 16
  6. 6.What is the mean of 7, 14, 11, 18 and 20? (a) 14 (b) 13 (c) 15 (d) 16
  7. 7.The mean of 5 numbers is 33. When the number 57 is added to them, what is the new mean? (a) 37 (b) 33 (c) 45 (d) 38
  8. 8.What is the mode of 20, 14, 5, 18, 14, 14 and 20? (a) 5 (b) 20 (c) 18 (d) 14
  9. 9.What is the mode of 2, 16, 2, 2, 4, 4 and 8? (a) 16 (b) 8 (c) 2 (d) 4
  10. 10.What is the median of 37, 8, 15, 16, 30, 14 and 31? (a) 17 (b) 15 (c) 16 (d) 30
  11. 11.What is the mean of 7, 13, 6, 4, 8 and 4? (a) 7 (b) 8 (c) 9 (d) 6
  12. 12.What is the mean of 6, 17, 2, 8, 10 and 11? (a) 8 (b) 11 (c) 10 (d) 9
  13. 13.What is the median of 26, 13, 31, 14, 25, 17 and 9? (a) 25 (b) 14 (c) 18 (d) 17
  14. 14.What is the mode of 4, 19, 4, 4, 17, 1 and 19? (a) 19 (b) 17 (c) 4 (d) 1
  15. 15.What is the mode of 10, 12, 13, 12, 8, 13 and 12? (a) 10 (b) 8 (c) 13 (d) 12
  16. 16.What is the mode of 2, 12, 1, 12, 7, 1 and 1? (a) 12 (b) 2 (c) 7 (d) 1
  17. 17.What is the mean of 4, 3, 19, 9, 4 and 3? (a) 8 (b) 6 (c) 7 (d) 9
  18. 18.What is the mean of 5, 4, 19, 20, 11 and 7? (a) 12 (b) 13 (c) 10 (d) 11
  19. 19.What is the mean of 4, 15, 9 and 20? (a) 16 (b) 13 (c) 11 (d) 12
  20. 20.What is the mean of 19, 3, 7 and 11? (a) 10 (b) 9 (c) 8 (d) 11
  21. 21.The mean of 8 numbers is 38. When the number 74 is added to them, what is the new mean? (a) 38 (b) 42 (c) 56 (d) 43
  22. 22.What is the mean of 6, 18, 6, 9 and 21? (a) 15 (b) 13 (c) 10 (d) 12
  23. 23.What is the mode of 11, 20, 11, 16, 11, 18 and 20? (a) 20 (b) 11 (c) 18 (d) 16
  24. 24.What is the mode of 4, 11, 7, 19, 19, 19 and 7? (a) 19 (b) 4 (c) 11 (d) 7
  25. 25.What is the mode of 6, 11, 6, 20, 11, 11 and 1? (a) 11 (b) 6 (c) 20 (d) 1
  26. 26.What is the mode of 17, 11, 9, 11, 17, 1 and 11? (a) 11 (b) 1 (c) 17 (d) 9
  27. 27.The mean of 8 numbers is 34. When the number 70 is added to them, what is the new mean? (a) 34 (b) 38 (c) 39 (d) 52
  28. 28.What is the mean of 11, 8, 6 and 19? (a) 11 (b) 10 (c) 12 (d) 13
  29. 29.The mean of 5 numbers is 22. When the number 16 is added to them, what is the new mean? (a) 22 (b) 21 (c) 19 (d) 20
  30. 30.What is the mode of 19, 2, 4, 2, 1, 4 and 4? (a) 19 (b) 2 (c) 4 (d) 1
  31. 31.What is the mode of 15, 4, 14, 4, 6, 6 and 4? (a) 4 (b) 14 (c) 6 (d) 15
  32. 32.What is the mode of 17, 1, 11, 5, 5, 1 and 1? (a) 17 (b) 11 (c) 1 (d) 5
  33. 33.The mean of 3 numbers is 37. When the number 25 is added to them, what is the new mean? (a) 31 (b) 37 (c) 34 (d) 35
  34. 34.The mean of 5 numbers is 15. When the number 39 is added to them, what is the new mean? (a) 20 (b) 27 (c) 15 (d) 19
  35. 35.What is the mean of 14, 19, 12 and 7? (a) 13 (b) 14 (c) 15 (d) 12
  36. 36.What is the mean of 8, 15, 15 and 18? (a) 13 (b) 14 (c) 16 (d) 15
  37. 37.The mean of 5 numbers is 10. When the number 34 is added to them, what is the new mean? (a) 14 (b) 15 (c) 22 (d) 10
  38. 38.What is the mode of 2, 2, 19, 17, 2, 19 and 6? (a) 6 (b) 17 (c) 19 (d) 2
  39. 39.What is the mean of 17, 4, 12, 18, 8 and 13? (a) 14 (b) 12 (c) 13 (d) 11
  40. 40.What is the median of 14, 2, 20, 12 and 18? (a) 14 (b) 12 (c) 18 (d) 20

Answer key

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

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