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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 205 · 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 9, 9, 19, 2, 11 and 4? (a) 11 (b) 8 (c) 10 (d) 9
  2. 2.The mean of 7 numbers is 26. When the number 18 is added to them, what is the new mean? (a) 22 (b) 25 (c) 24 (d) 26
  3. 3.What is the median of 29, 2, 7, 34 and 15? (a) 15 (b) 16 (c) 29 (d) 7
  4. 4.The mean of 6 numbers is 38. When the number 59 is added to them, what is the new mean? (a) 38 (b) 40 (c) 41 (d) 42
  5. 5.The mean of 8 numbers is 28. When the number 46 is added to them, what is the new mean? (a) 37 (b) 30 (c) 28 (d) 31
  6. 6.What is the mode of 11, 6, 11, 6, 20, 6 and 8? (a) 8 (b) 11 (c) 6 (d) 20
  7. 7.What is the median of 6, 26, 31, 34, 8, 35 and 5? (a) 31 (b) 8 (c) 34 (d) 26
  8. 8.What is the mean of 4, 20, 15, 5, 9 and 19? (a) 11 (b) 12 (c) 14 (d) 13
  9. 9.What is the median of 40, 15, 19, 2 and 35? (a) 35 (b) 15 (c) 20 (d) 19
  10. 10.What is the median of 4, 9, 10, 12 and 22? (a) 12 (b) 9 (c) 10 (d) 11
  11. 11.What is the mean of 10, 4, 11 and 3? (a) 8 (b) 9 (c) 7 (d) 6
  12. 12.What is the mode of 2, 2, 19, 1, 17, 2 and 17? (a) 19 (b) 17 (c) 1 (d) 2
  13. 13.What is the mean of 19, 12, 2 and 7? (a) 11 (b) 10 (c) 8 (d) 9
  14. 14.What is the mode of 4, 18, 15, 18, 18, 6 and 15? (a) 4 (b) 15 (c) 18 (d) 6
  15. 15.What is the median of 38, 7, 33, 24, 2, 25 and 15? (a) 15 (b) 25 (c) 23 (d) 24
  16. 16.What is the median of 29, 31, 1, 17 and 3? (a) 17 (b) 3 (c) 29 (d) 1
  17. 17.What is the median of 23, 4, 22, 3, 39, 30 and 5? (a) 18 (b) 23 (c) 3 (d) 22
  18. 18.The mean of 9 numbers is 36. When the number 46 is added to them, what is the new mean? (a) 37 (b) 36 (c) 38 (d) 41
  19. 19.What is the mode of 4, 17, 16, 4, 15, 4 and 17? (a) 15 (b) 17 (c) 4 (d) 16
  20. 20.What is the mean of 6, 10, 15, 4, 15 and 10? (a) 9 (b) 11 (c) 12 (d) 10
  21. 21.What is the median of 11, 12, 38, 16 and 5? (a) 12 (b) 38 (c) 16 (d) 11
  22. 22.What is the mode of 2, 16, 19, 16, 17, 19 and 16? (a) 16 (b) 19 (c) 17 (d) 2
  23. 23.What is the mode of 4, 17, 4, 16, 16, 16 and 2? (a) 2 (b) 17 (c) 16 (d) 4
  24. 24.What is the median of 11, 36, 34, 29, 40, 26 and 20? (a) 34 (b) 26 (c) 28 (d) 29
  25. 25.The mean of 9 numbers is 12. When the number 32 is added to them, what is the new mean? (a) 15 (b) 22 (c) 12 (d) 14
  26. 26.What is the mean of 9, 11, 13, 5, 15 and 13? (a) 13 (b) 10 (c) 11 (d) 12
  27. 27.What is the mode of 10, 16, 17, 1, 1, 10 and 10? (a) 16 (b) 10 (c) 17 (d) 1
  28. 28.What is the median of 35, 12, 17, 18 and 5? (a) 18 (b) 12 (c) 16 (d) 17
  29. 29.What is the mean of 8, 7, 16 and 9? (a) 11 (b) 10 (c) 9 (d) 8
  30. 30.The mean of 5 numbers is 35. When the number 29 is added to them, what is the new mean? (a) 33 (b) 34 (c) 35 (d) 32
  31. 31.What is the median of 32, 7, 1, 16 and 12? (a) 7 (b) 16 (c) 1 (d) 12
  32. 32.The mean of 9 numbers is 10. When the number 30 is added to them, what is the new mean? (a) 12 (b) 20 (c) 10 (d) 13
  33. 33.The mean of 3 numbers is 12. When the number 8 is added to them, what is the new mean? (a) 12 (b) 13 (c) 11 (d) 10
  34. 34.The mean of 5 numbers is 11. When the number 23 is added to them, what is the new mean? (a) 13 (b) 11 (c) 14 (d) 17
  35. 35.What is the mean of 7, 7, 10, 20, 2 and 8? (a) 10 (b) 9 (c) 11 (d) 8
  36. 36.What is the median of 18, 26, 36, 11, 2, 1 and 29? (a) 18 (b) 26 (c) 11 (d) 19
  37. 37.The mean of 8 numbers is 11. When the number 2 is added to them, what is the new mean? (a) 11 (b) 10 (c) 12 (d) 9
  38. 38.The mean of 3 numbers is 21. When the number 9 is added to them, what is the new mean? (a) 15 (b) 21 (c) 19 (d) 18
  39. 39.What is the mean of 13, 6, 12, 8 and 21? (a) 15 (b) 10 (c) 12 (d) 13
  40. 40.What is the median of 30, 4, 29, 11 and 17? (a) 18 (b) 11 (c) 29 (d) 17

Answer key

  1. 9
  2. 25
  3. 15
  4. 41
  5. 30
  6. 6
  7. 26
  8. 12
  9. 19
  10. 10
  11. 7
  12. 2
  13. 10
  14. 18
  15. 24
  16. 17
  17. 22
  18. 37
  19. 4
  20. 10
  21. 12
  22. 16
  23. 16
  24. 29
  25. 14
  26. 11
  27. 10
  28. 17
  29. 10
  30. 34
  31. 12
  32. 12
  33. 11
  34. 13
  35. 9
  36. 18
  37. 10
  38. 18
  39. 12
  40. 17

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