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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 63 · 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 13, 10, 9, 3 and 20? (a) 10 (b) 13 (c) 11 (d) 12
  2. 2.What is the mode of 12, 4, 12, 6, 17, 17 and 12? (a) 6 (b) 12 (c) 17 (d) 4
  3. 3.What is the median of 13, 3, 7, 22, 29, 20 and 17? (a) 17 (b) 13 (c) 22 (d) 20
  4. 4.What is the mean of 4, 2, 4 and 18? (a) 9 (b) 7 (c) 8 (d) 6
  5. 5.What is the mode of 10, 12, 19, 10, 12, 10 and 7? (a) 7 (b) 10 (c) 19 (d) 12
  6. 6.What is the median of 6, 21, 32, 17 and 39? (a) 32 (b) 17 (c) 23 (d) 21
  7. 7.The mean of 5 numbers is 19. When the number 7 is added to them, what is the new mean? (a) 18 (b) 19 (c) 17 (d) 13
  8. 8.What is the median of 2, 12, 11, 14, 22, 10 and 30? (a) 12 (b) 13 (c) 14 (d) 11
  9. 9.The mean of 4 numbers is 39. When the number 59 is added to them, what is the new mean? (a) 49 (b) 39 (c) 43 (d) 44
  10. 10.The mean of 5 numbers is 20. When the number 14 is added to them, what is the new mean? (a) 20 (b) 17 (c) 19 (d) 18
  11. 11.What is the mode of 13, 11, 11, 7, 11, 12 and 13? (a) 13 (b) 7 (c) 11 (d) 12
  12. 12.What is the median of 38, 2, 20, 27 and 8? (a) 19 (b) 20 (c) 27 (d) 8
  13. 13.What is the median of 26, 25, 8, 6, 2, 5 and 13? (a) 9 (b) 6 (c) 8 (d) 13
  14. 14.What is the median of 32, 1, 6, 30, 25, 9 and 8? (a) 25 (b) 30 (c) 9 (d) 8
  15. 15.What is the mode of 5, 8, 3, 7, 8, 8 and 5? (a) 8 (b) 5 (c) 7 (d) 3
  16. 16.What is the mode of 17, 18, 10, 1, 17, 1 and 17? (a) 1 (b) 18 (c) 10 (d) 17
  17. 17.The mean of 4 numbers is 25. When the number 15 is added to them, what is the new mean? (a) 25 (b) 23 (c) 20 (d) 24
  18. 18.What is the median of 6, 26, 10, 30, 27, 14 and 24? (a) 24 (b) 14 (c) 26 (d) 30
  19. 19.What is the mean of 3, 2, 3, 8, 7 and 7? (a) 4 (b) 5 (c) 6 (d) 7
  20. 20.What is the mean of 16, 19, 4, 11 and 10? (a) 15 (b) 10 (c) 13 (d) 12
  21. 21.What is the mode of 17, 11, 5, 11, 5, 13 and 5? (a) 13 (b) 5 (c) 17 (d) 11
  22. 22.What is the mode of 9, 18, 9, 5, 1, 1 and 9? (a) 18 (b) 1 (c) 9 (d) 5
  23. 23.The mean of 7 numbers is 37. When the number 13 is added to them, what is the new mean? (a) 35 (b) 25 (c) 34 (d) 37
  24. 24.What is the median of 37, 26, 9, 1 and 24? (a) 24 (b) 9 (c) 26 (d) 25
  25. 25.What is the mean of 3, 2, 5 and 6? (a) 3 (b) 6 (c) 5 (d) 4
  26. 26.What is the mean of 5, 7, 6, 19, 7 and 22? (a) 12 (b) 10 (c) 13 (d) 11
  27. 27.What is the mean of 6, 18, 6, 6, 6 and 6? (a) 7 (b) 8 (c) 10 (d) 9
  28. 28.What is the mean of 17, 2, 3, 7 and 11? (a) 8 (b) 10 (c) 9 (d) 7
  29. 29.What is the median of 37, 30, 1, 11 and 28? (a) 28 (b) 30 (c) 11 (d) 1
  30. 30.What is the mean of 11, 2, 4, 5 and 8? (a) 5 (b) 7 (c) 8 (d) 6
  31. 31.What is the mode of 4, 4, 4, 7, 8, 7 and 12? (a) 7 (b) 8 (c) 4 (d) 12
  32. 32.What is the median of 34, 31, 9, 10 and 13? (a) 10 (b) 9 (c) 31 (d) 13
  33. 33.What is the mean of 3, 5, 14, 15 and 18? (a) 10 (b) 13 (c) 11 (d) 12
  34. 34.What is the mean of 2, 6, 18, 15, 2 and 23? (a) 13 (b) 11 (c) 12 (d) 10
  35. 35.What is the median of 28, 3, 10, 32 and 2? (a) 10 (b) 3 (c) 15 (d) 28
  36. 36.The mean of 8 numbers is 40. When the number 4 is added to them, what is the new mean? (a) 40 (b) 22 (c) 37 (d) 36
  37. 37.What is the mode of 1, 13, 4, 4, 4, 2 and 1? (a) 13 (b) 2 (c) 1 (d) 4
  38. 38.What is the mean of 4, 12, 14, 9 and 21? (a) 13 (b) 12 (c) 15 (d) 10
  39. 39.What is the median of 6, 30, 23, 16, 2, 34 and 21? (a) 23 (b) 21 (c) 22 (d) 16
  40. 40.What is the mean of 18, 20, 7 and 19? (a) 17 (b) 16 (c) 18 (d) 15

Answer key

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

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