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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 905 · 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.The mean of 4 numbers is 20. When the number 30 is added to them, what is the new mean? (a) 22 (b) 23 (c) 20 (d) 25
  2. 2.What is the mean of 5, 6, 7, 2, 17 and 17? (a) 9 (b) 10 (c) 11 (d) 8
  3. 3.What is the mean of 7, 7, 9, 15, 10 and 24? (a) 14 (b) 11 (c) 12 (d) 13
  4. 4.What is the median of 20, 33, 31, 22 and 25? (a) 25 (b) 31 (c) 26 (d) 22
  5. 5.What is the mean of 14, 3, 19 and 4? (a) 8 (b) 11 (c) 10 (d) 9
  6. 6.What is the median of 4, 26, 25, 30 and 39? (a) 26 (b) 25 (c) 27 (d) 30
  7. 7.What is the mean of 10, 4, 7, 14, 13 and 12? (a) 10 (b) 9 (c) 11 (d) 12
  8. 8.What is the median of 5, 36, 8, 4 and 9? (a) 5 (b) 9 (c) 8 (d) 7
  9. 9.What is the mode of 13, 12, 12, 5, 13, 12 and 3? (a) 5 (b) 12 (c) 13 (d) 3
  10. 10.The mean of 8 numbers is 12. When the number 21 is added to them, what is the new mean? (a) 12 (b) 13 (c) 14 (d) 15
  11. 11.What is the mode of 4, 2, 15, 2, 1, 2 and 4? (a) 1 (b) 4 (c) 2 (d) 15
  12. 12.The mean of 5 numbers is 39. When the number 21 is added to them, what is the new mean? (a) 39 (b) 37 (c) 30 (d) 36
  13. 13.What is the median of 2, 13, 1, 22 and 11? (a) 1 (b) 13 (c) 2 (d) 11
  14. 14.The mean of 4 numbers is 18. When the number 33 is added to them, what is the new mean? (a) 18 (b) 22 (c) 21 (d) 20
  15. 15.What is the mode of 4, 6, 10, 10, 14, 6 and 6? (a) 14 (b) 4 (c) 6 (d) 10
  16. 16.The mean of 3 numbers is 15. When the number 23 is added to them, what is the new mean? (a) 19 (b) 15 (c) 18 (d) 17
  17. 17.The mean of 7 numbers is 37. When the number 29 is added to them, what is the new mean? (a) 33 (b) 35 (c) 37 (d) 36
  18. 18.What is the mode of 9, 17, 5, 9, 8, 9 and 5? (a) 9 (b) 17 (c) 8 (d) 5
  19. 19.What is the median of 37, 32, 14, 12, 27, 26 and 35? (a) 12 (b) 32 (c) 27 (d) 26
  20. 20.What is the median of 18, 21, 32, 6, 20, 15 and 14? (a) 6 (b) 15 (c) 20 (d) 18
  21. 21.What is the median of 5, 24, 39, 32 and 21? (a) 39 (b) 21 (c) 32 (d) 24
  22. 22.What is the median of 11, 32, 27, 14 and 30? (a) 27 (b) 14 (c) 28 (d) 30
  23. 23.What is the mean of 19, 17, 8, 12 and 4? (a) 10 (b) 15 (c) 12 (d) 13
  24. 24.What is the mode of 6, 6, 16, 4, 18, 6 and 18? (a) 4 (b) 18 (c) 6 (d) 16
  25. 25.What is the median of 21, 10, 20, 32 and 15? (a) 21 (b) 20 (c) 19 (d) 15
  26. 26.What is the mean of 14, 20, 18, 9 and 4? (a) 12 (b) 13 (c) 15 (d) 14
  27. 27.What is the mode of 5, 16, 5, 9, 12, 12 and 5? (a) 16 (b) 5 (c) 12 (d) 9
  28. 28.The mean of 6 numbers is 17. When the number 3 is added to them, what is the new mean? (a) 17 (b) 16 (c) 10 (d) 15
  29. 29.What is the median of 24, 20, 2, 36, 30, 38 and 3? (a) 20 (b) 24 (c) 36 (d) 30
  30. 30.The mean of 6 numbers is 31. When the number 24 is added to them, what is the new mean? (a) 32 (b) 31 (c) 29 (d) 30
  31. 31.What is the mean of 13, 6, 19, 15 and 12? (a) 15 (b) 13 (c) 14 (d) 12
  32. 32.What is the median of 19, 8, 32, 21, 29, 4 and 25? (a) 21 (b) 22 (c) 25 (d) 19
  33. 33.What is the mean of 3, 18, 14, 19, 10 and 20? (a) 13 (b) 15 (c) 14 (d) 12
  34. 34.What is the mean of 18, 7, 18, 20, 8 and 13? (a) 14 (b) 15 (c) 12 (d) 13
  35. 35.What is the mean of 11, 9, 7, 5 and 18? (a) 9 (b) 10 (c) 12 (d) 11
  36. 36.What is the median of 19, 26, 27, 1 and 29? (a) 19 (b) 27 (c) 25 (d) 26
  37. 37.The mean of 5 numbers is 14. When the number 2 is added to them, what is the new mean? (a) 8 (b) 13 (c) 12 (d) 14
  38. 38.What is the mean of 17, 3, 6 and 14? (a) 11 (b) 8 (c) 10 (d) 9
  39. 39.What is the mode of 9, 9, 8, 11, 3, 11 and 9? (a) 8 (b) 3 (c) 11 (d) 9
  40. 40.What is the mean of 2, 20, 5, 10, 17 and 12? (a) 13 (b) 10 (c) 11 (d) 12

Answer key

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

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