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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 971 · 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 mode of 3, 7, 7, 9, 3, 7 and 8? (a) 7 (b) 3 (c) 9 (d) 8
  2. 2.What is the mean of 7, 2, 5, 13 and 13? (a) 10 (b) 9 (c) 8 (d) 7
  3. 3.What is the mode of 11, 18, 18, 13, 11, 9 and 11? (a) 11 (b) 13 (c) 9 (d) 18
  4. 4.The mean of 3 numbers is 34. When the number 22 is added to them, what is the new mean? (a) 32 (b) 34 (c) 28 (d) 31
  5. 5.What is the mean of 18, 8, 7, 3, 3 and 9? (a) 10 (b) 7 (c) 9 (d) 8
  6. 6.The mean of 8 numbers is 34. When the number 61 is added to them, what is the new mean? (a) 34 (b) 38 (c) 36 (d) 37
  7. 7.The mean of 5 numbers is 15. When the number 21 is added to them, what is the new mean? (a) 18 (b) 15 (c) 17 (d) 16
  8. 8.The mean of 6 numbers is 37. When the number 16 is added to them, what is the new mean? (a) 35 (b) 34 (c) 37 (d) 33
  9. 9.The mean of 3 numbers is 25. When the number 41 is added to them, what is the new mean? (a) 29 (b) 25 (c) 30 (d) 33
  10. 10.The mean of 3 numbers is 31. When the number 15 is added to them, what is the new mean? (a) 28 (b) 31 (c) 27 (d) 23
  11. 11.What is the mean of 2, 7, 14, 8, 9 and 20? (a) 12 (b) 11 (c) 9 (d) 10
  12. 12.What is the median of 20, 15, 33, 7 and 16? (a) 33 (b) 16 (c) 15 (d) 20
  13. 13.The mean of 4 numbers is 36. When the number 51 is added to them, what is the new mean? (a) 36 (b) 40 (c) 38 (d) 39
  14. 14.What is the mode of 18, 2, 18, 18, 10, 2 and 1? (a) 1 (b) 10 (c) 2 (d) 18
  15. 15.What is the median of 1, 3, 27, 17 and 20? (a) 20 (b) 27 (c) 3 (d) 17
  16. 16.What is the mode of 7, 11, 12, 7, 7, 1 and 12? (a) 1 (b) 11 (c) 12 (d) 7
  17. 17.What is the mean of 16, 5, 4, 5, 13 and 5? (a) 7 (b) 10 (c) 8 (d) 9
  18. 18.What is the mode of 4, 19, 10, 10, 6, 4 and 4? (a) 4 (b) 19 (c) 10 (d) 6
  19. 19.What is the median of 19, 6, 28, 29, 23, 15 and 25? (a) 29 (b) 25 (c) 23 (d) 19
  20. 20.What is the median of 15, 13, 23, 31, 19, 37 and 10? (a) 31 (b) 19 (c) 15 (d) 23
  21. 21.What is the mean of 3, 12, 19 and 2? (a) 10 (b) 12 (c) 9 (d) 8
  22. 22.What is the mean of 9, 15, 19, 7 and 5? (a) 12 (b) 13 (c) 10 (d) 11
  23. 23.The mean of 4 numbers is 40. When the number 30 is added to them, what is the new mean? (a) 40 (b) 35 (c) 39 (d) 38
  24. 24.What is the mode of 7, 5, 19, 2, 19, 7 and 19? (a) 5 (b) 2 (c) 19 (d) 7
  25. 25.What is the median of 36, 25, 12, 5, 20, 7 and 21? (a) 21 (b) 18 (c) 20 (d) 5
  26. 26.The mean of 6 numbers is 23. When the number 2 is added to them, what is the new mean? (a) 23 (b) 20 (c) 21 (d) 19
  27. 27.The mean of 6 numbers is 34. When the number 55 is added to them, what is the new mean? (a) 34 (b) 36 (c) 38 (d) 37
  28. 28.What is the mode of 20, 12, 10, 20, 5, 20 and 12? (a) 20 (b) 5 (c) 12 (d) 10
  29. 29.The mean of 9 numbers is 37. When the number 17 is added to them, what is the new mean? (a) 36 (b) 35 (c) 27 (d) 37
  30. 30.The mean of 5 numbers is 17. When the number 29 is added to them, what is the new mean? (a) 17 (b) 19 (c) 23 (d) 20
  31. 31.What is the mean of 10, 15, 4, 10, 6 and 15? (a) 12 (b) 10 (c) 11 (d) 9
  32. 32.What is the mean of 7, 17, 4, 10, 3 and 7? (a) 8 (b) 10 (c) 9 (d) 7
  33. 33.What is the mode of 20, 6, 20, 6, 4, 20 and 3? (a) 20 (b) 3 (c) 4 (d) 6
  34. 34.What is the mean of 17, 9, 6, 2 and 21? (a) 11 (b) 10 (c) 13 (d) 12
  35. 35.What is the median of 8, 39, 12, 34 and 35? (a) 12 (b) 33 (c) 35 (d) 34
  36. 36.The mean of 8 numbers is 37. When the number 55 is added to them, what is the new mean? (a) 40 (b) 39 (c) 37 (d) 46
  37. 37.What is the mean of 3, 20, 7, 10 and 15? (a) 13 (b) 11 (c) 12 (d) 10
  38. 38.What is the median of 20, 5, 23, 7 and 16? (a) 7 (b) 16 (c) 20 (d) 23
  39. 39.What is the mode of 10, 14, 2, 5, 10, 14 and 14? (a) 2 (b) 5 (c) 10 (d) 14
  40. 40.What is the mode of 5, 18, 18, 5, 10, 18 and 3? (a) 10 (b) 18 (c) 3 (d) 5

Answer key

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

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