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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 987 · 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 20, 20, 11, 17, 4, 20 and 4? (a) 17 (b) 11 (c) 4 (d) 20
  2. 2.What is the mean of 19, 15, 20, 5 and 11? (a) 16 (b) 15 (c) 14 (d) 13
  3. 3.What is the mean of 6, 19, 7 and 16? (a) 12 (b) 16 (c) 13 (d) 11
  4. 4.The mean of 4 numbers is 34. When the number 14 is added to them, what is the new mean? (a) 31 (b) 24 (c) 30 (d) 34
  5. 5.What is the mean of 18, 13, 18, 8 and 18? (a) 14 (b) 17 (c) 15 (d) 16
  6. 6.What is the mean of 7, 14, 4, 12, 14 and 9? (a) 12 (b) 11 (c) 10 (d) 9
  7. 7.What is the mode of 5, 5, 12, 19, 20, 12 and 12? (a) 5 (b) 20 (c) 19 (d) 12
  8. 8.What is the mean of 20, 17, 17 and 6? (a) 20 (b) 16 (c) 15 (d) 12
  9. 9.What is the median of 18, 9, 22, 27 and 3? (a) 22 (b) 19 (c) 9 (d) 18
  10. 10.What is the mode of 9, 13, 9, 6, 9, 14 and 13? (a) 14 (b) 6 (c) 9 (d) 13
  11. 11.What is the mean of 20, 4, 14, 6, 20 and 8? (a) 13 (b) 11 (c) 14 (d) 12
  12. 12.What is the mode of 16, 6, 19, 20, 19, 6 and 6? (a) 6 (b) 20 (c) 19 (d) 16
  13. 13.What is the mean of 4, 3, 6, 14 and 18? (a) 8 (b) 10 (c) 9 (d) 11
  14. 14.What is the mode of 8, 14, 18, 14, 14, 8 and 13? (a) 8 (b) 13 (c) 18 (d) 14
  15. 15.What is the median of 10, 7, 20, 1, 35, 24 and 5? (a) 1 (b) 10 (c) 20 (d) 7
  16. 16.What is the mean of 18, 2, 2, 2, 5 and 19? (a) 9 (b) 7 (c) 10 (d) 8
  17. 17.What is the mean of 2, 6, 12, 18, 7 and 15? (a) 9 (b) 10 (c) 11 (d) 12
  18. 18.What is the mean of 8, 19, 8 and 21? (a) 15 (b) 16 (c) 13 (d) 14
  19. 19.What is the mean of 2, 7, 9, 13 and 4? (a) 9 (b) 8 (c) 7 (d) 6
  20. 20.What is the mean of 16, 3, 7, 18 and 21? (a) 14 (b) 15 (c) 13 (d) 12
  21. 21.The mean of 3 numbers is 16. When the number 28 is added to them, what is the new mean? (a) 16 (b) 22 (c) 20 (d) 19
  22. 22.The mean of 7 numbers is 28. When the number 20 is added to them, what is the new mean? (a) 26 (b) 27 (c) 28 (d) 24
  23. 23.What is the mean of 3, 14, 17, 6 and 15? (a) 10 (b) 11 (c) 12 (d) 13
  24. 24.What is the mean of 5, 10, 17, 17 and 16? (a) 12 (b) 13 (c) 14 (d) 15
  25. 25.The mean of 6 numbers is 11. When the number 4 is added to them, what is the new mean? (a) 10 (b) 12 (c) 9 (d) 11
  26. 26.The mean of 9 numbers is 34. When the number 24 is added to them, what is the new mean? (a) 33 (b) 32 (c) 29 (d) 34
  27. 27.The mean of 3 numbers is 34. When the number 46 is added to them, what is the new mean? (a) 38 (b) 37 (c) 34 (d) 40
  28. 28.The mean of 9 numbers is 29. When the number 19 is added to them, what is the new mean? (a) 27 (b) 28 (c) 24 (d) 29
  29. 29.What is the median of 29, 30, 34, 4, 39, 22 and 33? (a) 30 (b) 29 (c) 33 (d) 4
  30. 30.The mean of 6 numbers is 16. When the number 2 is added to them, what is the new mean? (a) 15 (b) 14 (c) 16 (d) 9
  31. 31.What is the mode of 19, 13, 5, 19, 19, 16 and 13? (a) 5 (b) 16 (c) 13 (d) 19
  32. 32.What is the mode of 1, 18, 14, 18, 11, 14 and 14? (a) 11 (b) 1 (c) 18 (d) 14
  33. 33.What is the mean of 18, 2, 18, 15, 2 and 5? (a) 11 (b) 9 (c) 10 (d) 12
  34. 34.What is the mode of 10, 7, 13, 7, 4, 13 and 13? (a) 10 (b) 13 (c) 7 (d) 4
  35. 35.The mean of 5 numbers is 17. When the number 41 is added to them, what is the new mean? (a) 21 (b) 17 (c) 22 (d) 29
  36. 36.What is the mean of 19, 4, 5, 11 and 6? (a) 11 (b) 8 (c) 10 (d) 9
  37. 37.What is the median of 1, 19, 36, 32 and 28? (a) 36 (b) 19 (c) 32 (d) 28
  38. 38.What is the mean of 18, 6, 5, 14, 18 and 17? (a) 14 (b) 13 (c) 12 (d) 15
  39. 39.The mean of 4 numbers is 32. When the number 12 is added to them, what is the new mean? (a) 32 (b) 22 (c) 29 (d) 28
  40. 40.What is the mode of 18, 6, 18, 1, 3, 18 and 1? (a) 18 (b) 1 (c) 3 (d) 6

Answer key

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

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