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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 644 · 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 3, 3, 20, 5, 4 and 13? (a) 7 (b) 8 (c) 10 (d) 9
  2. 2.What is the mean of 8, 7, 17 and 16? (a) 12 (b) 11 (c) 13 (d) 16
  3. 3.The mean of 3 numbers is 36. When the number 32 is added to them, what is the new mean? (a) 36 (b) 35 (c) 37 (d) 34
  4. 4.What is the median of 6, 2, 17, 31, 5, 20 and 4? (a) 5 (b) 17 (c) 6 (d) 31
  5. 5.The mean of 9 numbers is 21. When the number 1 is added to them, what is the new mean? (a) 21 (b) 19 (c) 11 (d) 20
  6. 6.What is the mean of 5, 19, 9, 6 and 6? (a) 8 (b) 9 (c) 10 (d) 11
  7. 7.What is the mean of 18, 16, 12 and 14? (a) 16 (b) 12 (c) 20 (d) 15
  8. 8.The mean of 4 numbers is 12. When the number 27 is added to them, what is the new mean? (a) 12 (b) 16 (c) 15 (d) 14
  9. 9.What is the mean of 10, 14, 19, 10, 2 and 23? (a) 14 (b) 12 (c) 15 (d) 13
  10. 10.The mean of 8 numbers is 10. When the number 46 is added to them, what is the new mean? (a) 10 (b) 15 (c) 28 (d) 14
  11. 11.What is the mode of 19, 15, 12, 12, 10, 10 and 12? (a) 10 (b) 12 (c) 19 (d) 15
  12. 12.What is the mean of 7, 4, 20, 2 and 22? (a) 10 (b) 12 (c) 13 (d) 11
  13. 13.What is the median of 9, 26, 7, 29, 8, 10 and 17? (a) 29 (b) 10 (c) 17 (d) 9
  14. 14.What is the median of 8, 26, 19, 28, 24, 23 and 11? (a) 24 (b) 23 (c) 19 (d) 28
  15. 15.What is the median of 7, 35, 30, 11, 37, 2 and 8? (a) 11 (b) 30 (c) 8 (d) 12
  16. 16.What is the mean of 3, 14, 3, 6, 9 and 7? (a) 6 (b) 8 (c) 9 (d) 7
  17. 17.What is the median of 9, 32, 2, 14, 26, 30 and 23? (a) 14 (b) 26 (c) 23 (d) 24
  18. 18.What is the mean of 13, 8, 4 and 7? (a) 10 (b) 7 (c) 9 (d) 8
  19. 19.What is the median of 6, 33, 21, 3, 40, 18 and 28? (a) 3 (b) 21 (c) 18 (d) 28
  20. 20.The mean of 4 numbers is 22. When the number 12 is added to them, what is the new mean? (a) 22 (b) 21 (c) 17 (d) 20
  21. 21.What is the median of 16, 6, 15, 24 and 13? (a) 14 (b) 15 (c) 16 (d) 13
  22. 22.What is the mean of 2, 3, 15, 12, 12 and 16? (a) 9 (b) 10 (c) 11 (d) 12
  23. 23.What is the mean of 14, 15, 2 and 5? (a) 9 (b) 12 (c) 8 (d) 10
  24. 24.What is the mean of 9, 10, 19, 20, 13 and 13? (a) 13 (b) 15 (c) 12 (d) 14
  25. 25.The mean of 3 numbers is 36. When the number 44 is added to them, what is the new mean? (a) 38 (b) 40 (c) 39 (d) 36
  26. 26.What is the mode of 6, 6, 10, 8, 3, 10 and 6? (a) 6 (b) 3 (c) 10 (d) 8
  27. 27.What is the median of 30, 9, 32, 15, 11, 37 and 3? (a) 16 (b) 15 (c) 30 (d) 11
  28. 28.What is the mean of 19, 10, 4, 14, 16 and 9? (a) 11 (b) 14 (c) 13 (d) 12
  29. 29.What is the mean of 18, 7, 14, 3 and 18? (a) 15 (b) 13 (c) 10 (d) 12
  30. 30.What is the mean of 9, 20, 17, 15 and 19? (a) 17 (b) 20 (c) 16 (d) 15
  31. 31.What is the median of 12, 13, 36, 38 and 11? (a) 13 (b) 12 (c) 36 (d) 22
  32. 32.What is the mode of 13, 9, 6, 7, 13, 13 and 6? (a) 7 (b) 6 (c) 9 (d) 13
  33. 33.What is the mean of 18, 8, 4, 10, 8 and 6? (a) 11 (b) 10 (c) 8 (d) 9
  34. 34.What is the median of 29, 28, 31, 6, 25, 19 and 16? (a) 25 (b) 22 (c) 6 (d) 28
  35. 35.What is the median of 18, 4, 3, 17 and 2? (a) 4 (b) 5 (c) 3 (d) 17
  36. 36.What is the mean of 4, 13, 15 and 20? (a) 12 (b) 13 (c) 15 (d) 14
  37. 37.What is the mean of 6, 20, 9 and 5? (a) 10 (b) 8 (c) 9 (d) 11
  38. 38.What is the median of 39, 17, 16, 14, 4, 11 and 6? (a) 16 (b) 11 (c) 14 (d) 15
  39. 39.What is the mean of 5, 13, 2, 10, 13 and 5? (a) 8 (b) 9 (c) 10 (d) 7
  40. 40.The mean of 9 numbers is 33. When the number 23 is added to them, what is the new mean? (a) 33 (b) 28 (c) 31 (d) 32

Answer key

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

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