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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 463 · 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 7, 13, 16, 13, 7, 13 and 9? (a) 13 (b) 9 (c) 16 (d) 7
  2. 2.What is the median of 34, 39, 18, 14 and 37? (a) 34 (b) 37 (c) 35 (d) 18
  3. 3.What is the mean of 3, 9, 5, 14, 8 and 21? (a) 11 (b) 10 (c) 12 (d) 9
  4. 4.What is the mean of 6, 11, 3, 3 and 2? (a) 4 (b) 6 (c) 7 (d) 5
  5. 5.What is the median of 39, 36, 12, 18 and 10? (a) 23 (b) 36 (c) 12 (d) 18
  6. 6.What is the mode of 10, 10, 10, 15, 1, 1 and 2? (a) 1 (b) 2 (c) 15 (d) 10
  7. 7.The mean of 9 numbers is 11. When the number 21 is added to them, what is the new mean? (a) 16 (b) 11 (c) 12 (d) 13
  8. 8.What is the mean of 7, 7, 4 and 14? (a) 10 (b) 8 (c) 7 (d) 9
  9. 9.What is the mode of 17, 8, 12, 8, 8, 17 and 7? (a) 12 (b) 17 (c) 8 (d) 7
  10. 10.The mean of 9 numbers is 26. When the number 66 is added to them, what is the new mean? (a) 26 (b) 30 (c) 46 (d) 31
  11. 11.The mean of 6 numbers is 30. When the number 9 is added to them, what is the new mean? (a) 30 (b) 27 (c) 26 (d) 28
  12. 12.What is the mean of 4, 14, 14 and 12? (a) 13 (b) 10 (c) 11 (d) 12
  13. 13.What is the mode of 18, 18, 5, 6, 8, 8 and 8? (a) 18 (b) 6 (c) 8 (d) 5
  14. 14.What is the median of 28, 17, 20, 30 and 6? (a) 20 (b) 21 (c) 17 (d) 28
  15. 15.The mean of 7 numbers is 32. When the number 16 is added to them, what is the new mean? (a) 24 (b) 30 (c) 31 (d) 32
  16. 16.What is the mode of 18, 1, 12, 1, 17, 1 and 17? (a) 17 (b) 18 (c) 1 (d) 12
  17. 17.What is the median of 38, 28, 3, 36 and 5? (a) 28 (b) 22 (c) 3 (d) 36
  18. 18.What is the median of 24, 22, 17, 4, 28, 19 and 6? (a) 19 (b) 4 (c) 17 (d) 22
  19. 19.What is the mean of 3, 3, 13 and 13? (a) 9 (b) 10 (c) 7 (d) 8
  20. 20.What is the mean of 5, 5, 7 and 11? (a) 9 (b) 6 (c) 8 (d) 7
  21. 21.What is the mean of 20, 7, 5, 5, 18 and 17? (a) 13 (b) 14 (c) 11 (d) 12
  22. 22.What is the mode of 3, 16, 1, 3, 4, 1 and 1? (a) 4 (b) 3 (c) 16 (d) 1
  23. 23.What is the mean of 20, 11, 7, 12, 20 and 8? (a) 12 (b) 14 (c) 13 (d) 15
  24. 24.The mean of 4 numbers is 35. When the number 20 is added to them, what is the new mean? (a) 31 (b) 32 (c) 35 (d) 33
  25. 25.What is the median of 14, 10, 35, 28 and 2? (a) 35 (b) 10 (c) 28 (d) 14
  26. 26.What is the median of 18, 12, 6, 7 and 9? (a) 6 (b) 12 (c) 7 (d) 9
  27. 27.What is the median of 18, 13, 4, 1 and 39? (a) 18 (b) 4 (c) 13 (d) 15
  28. 28.What is the mode of 1, 12, 1, 17, 17, 1 and 8? (a) 17 (b) 12 (c) 1 (d) 8
  29. 29.What is the mode of 14, 17, 14, 14, 1, 6 and 17? (a) 6 (b) 1 (c) 14 (d) 17
  30. 30.The mean of 3 numbers is 39. When the number 55 is added to them, what is the new mean? (a) 47 (b) 43 (c) 39 (d) 44
  31. 31.What is the mean of 14, 14, 14, 2 and 6? (a) 12 (b) 9 (c) 11 (d) 10
  32. 32.What is the median of 18, 9, 33, 20 and 21? (a) 18 (b) 21 (c) 33 (d) 20
  33. 33.What is the median of 23, 6, 9, 35, 31, 32 and 20? (a) 20 (b) 31 (c) 23 (d) 35
  34. 34.What is the median of 13, 1, 15, 24, 9, 25 and 6? (a) 15 (b) 24 (c) 9 (d) 13
  35. 35.What is the mean of 18, 11, 9 and 6? (a) 12 (b) 11 (c) 10 (d) 13
  36. 36.What is the median of 4, 36, 11, 12, 22, 28 and 24? (a) 12 (b) 23 (c) 24 (d) 22
  37. 37.The mean of 6 numbers is 15. When the number 8 is added to them, what is the new mean? (a) 16 (b) 13 (c) 14 (d) 15
  38. 38.What is the median of 9, 20, 3, 6 and 37? (a) 15 (b) 20 (c) 3 (d) 9
  39. 39.What is the mode of 11, 6, 3, 15, 11, 3 and 3? (a) 15 (b) 6 (c) 11 (d) 3
  40. 40.What is the mode of 9, 5, 9, 20, 9, 6 and 20? (a) 9 (b) 5 (c) 20 (d) 6

Answer key

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

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