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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 980 · 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 5, 10, 4, 15, 9 and 5? (a) 9 (b) 10 (c) 7 (d) 8
  2. 2.What is the mean of 7, 14, 17 and 10? (a) 11 (b) 16 (c) 13 (d) 12
  3. 3.What is the mode of 10, 1, 11, 10, 1, 14 and 10? (a) 10 (b) 1 (c) 11 (d) 14
  4. 4.What is the mode of 6, 17, 6, 19, 17, 17 and 10? (a) 6 (b) 10 (c) 17 (d) 19
  5. 5.The mean of 9 numbers is 33. When the number 73 is added to them, what is the new mean? (a) 33 (b) 37 (c) 53 (d) 38
  6. 6.What is the mean of 4, 14, 20, 6 and 16? (a) 12 (b) 13 (c) 15 (d) 10
  7. 7.What is the mean of 11, 2, 7, 7, 17 and 16? (a) 12 (b) 9 (c) 11 (d) 10
  8. 8.What is the mean of 17, 8, 20, 20, 2 and 17? (a) 14 (b) 12 (c) 15 (d) 13
  9. 9.What is the mean of 19, 2, 19, 13, 14 and 17? (a) 12 (b) 14 (c) 13 (d) 15
  10. 10.What is the mode of 18, 20, 18, 2, 2, 19 and 2? (a) 18 (b) 2 (c) 20 (d) 19
  11. 11.What is the mean of 10, 20, 17, 6, 6 and 7? (a) 12 (b) 10 (c) 11 (d) 13
  12. 12.The mean of 5 numbers is 38. When the number 44 is added to them, what is the new mean? (a) 41 (b) 39 (c) 40 (d) 38
  13. 13.The mean of 5 numbers is 39. When the number 45 is added to them, what is the new mean? (a) 40 (b) 41 (c) 39 (d) 42
  14. 14.What is the mode of 12, 8, 8, 17, 15, 8 and 15? (a) 8 (b) 12 (c) 15 (d) 17
  15. 15.What is the median of 4, 3, 9, 8 and 24? (a) 7 (b) 4 (c) 8 (d) 9
  16. 16.What is the mode of 4, 7, 4, 11, 4, 6 and 7? (a) 7 (b) 4 (c) 11 (d) 6
  17. 17.The mean of 3 numbers is 10. When the number 14 is added to them, what is the new mean? (a) 11 (b) 12 (c) 13 (d) 10
  18. 18.What is the mean of 13, 12, 5, 8 and 22? (a) 12 (b) 15 (c) 10 (d) 13
  19. 19.What is the mean of 13, 17, 5, 12 and 13? (a) 13 (b) 12 (c) 10 (d) 15
  20. 20.The mean of 6 numbers is 25. When the number 18 is added to them, what is the new mean? (a) 24 (b) 23 (c) 26 (d) 25
  21. 21.What is the mean of 9, 19, 16 and 4? (a) 16 (b) 12 (c) 13 (d) 11
  22. 22.What is the mode of 18, 12, 7, 2, 7, 18 and 7? (a) 18 (b) 12 (c) 2 (d) 7
  23. 23.What is the mode of 1, 7, 1, 7, 10, 7 and 9? (a) 7 (b) 9 (c) 10 (d) 1
  24. 24.What is the mode of 12, 6, 1, 9, 1, 9 and 9? (a) 12 (b) 6 (c) 1 (d) 9
  25. 25.What is the mode of 5, 17, 10, 10, 5, 10 and 7? (a) 7 (b) 10 (c) 5 (d) 17
  26. 26.What is the median of 15, 33, 28, 24, 11, 4 and 35? (a) 28 (b) 24 (c) 15 (d) 25
  27. 27.What is the mean of 2, 6, 5 and 7? (a) 7 (b) 5 (c) 6 (d) 4
  28. 28.The mean of 5 numbers is 15. When the number 9 is added to them, what is the new mean? (a) 12 (b) 14 (c) 13 (d) 15
  29. 29.What is the median of 19, 4, 28, 20, 32, 14 and 12? (a) 19 (b) 20 (c) 18 (d) 14
  30. 30.What is the mode of 10, 10, 17, 15, 15, 10 and 1? (a) 17 (b) 15 (c) 10 (d) 1
  31. 31.What is the mean of 6, 9, 12 and 5? (a) 7 (b) 10 (c) 9 (d) 8
  32. 32.What is the median of 38, 25, 23, 2, 36, 7 and 31? (a) 23 (b) 2 (c) 31 (d) 25
  33. 33.What is the mean of 18, 12, 19 and 3? (a) 14 (b) 15 (c) 12 (d) 13
  34. 34.The mean of 4 numbers is 34. When the number 14 is added to them, what is the new mean? (a) 34 (b) 30 (c) 31 (d) 24
  35. 35.What is the mean of 10, 3, 11 and 12? (a) 9 (b) 8 (c) 10 (d) 12
  36. 36.What is the mode of 18, 10, 10, 18, 15, 18 and 19? (a) 19 (b) 15 (c) 10 (d) 18
  37. 37.The mean of 7 numbers is 24. When the number 40 is added to them, what is the new mean? (a) 24 (b) 32 (c) 26 (d) 27
  38. 38.What is the mean of 9, 19, 5, 17 and 10? (a) 10 (b) 15 (c) 12 (d) 13
  39. 39.What is the mean of 14, 18, 18, 16 and 9? (a) 16 (b) 14 (c) 15 (d) 17
  40. 40.What is the mode of 3, 3, 3, 6, 6, 9 and 18? (a) 9 (b) 6 (c) 3 (d) 18

Answer key

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

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