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Mean Median Mode Worksheet for Maths Olympiad

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

Answer key

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

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