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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 949 · 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 13, 12, 1, 13, 13, 19 and 19? (a) 12 (b) 1 (c) 13 (d) 19
  2. 2.What is the mode of 5, 5, 2, 10, 14, 5 and 10? (a) 2 (b) 14 (c) 10 (d) 5
  3. 3.What is the mode of 9, 8, 20, 8, 20, 8 and 19? (a) 8 (b) 20 (c) 19 (d) 9
  4. 4.What is the mean of 10, 13, 4, 2 and 11? (a) 7 (b) 9 (c) 8 (d) 10
  5. 5.The mean of 8 numbers is 31. When the number 67 is added to them, what is the new mean? (a) 35 (b) 36 (c) 31 (d) 49
  6. 6.What is the mode of 14, 11, 19, 11, 11, 13 and 14? (a) 13 (b) 11 (c) 19 (d) 14
  7. 7.The mean of 9 numbers is 20. When the number 60 is added to them, what is the new mean? (a) 20 (b) 25 (c) 40 (d) 24
  8. 8.What is the mean of 9, 8, 13, 2 and 18? (a) 12 (b) 11 (c) 9 (d) 10
  9. 9.What is the mode of 6, 18, 13, 18, 16, 16 and 16? (a) 18 (b) 13 (c) 16 (d) 6
  10. 10.What is the mean of 7, 15, 20, 17, 7 and 18? (a) 12 (b) 15 (c) 14 (d) 13
  11. 11.The mean of 4 numbers is 10. When the number 5 is added to them, what is the new mean? (a) 10 (b) 8 (c) 11 (d) 9
  12. 12.What is the mean of 3, 11, 16 and 10? (a) 9 (b) 11 (c) 8 (d) 10
  13. 13.What is the mean of 11, 18, 17 and 10? (a) 13 (b) 16 (c) 14 (d) 15
  14. 14.The mean of 4 numbers is 38. When the number 33 is added to them, what is the new mean? (a) 38 (b) 37 (c) 39 (d) 36
  15. 15.What is the mean of 14, 10, 13 and 19? (a) 14 (b) 13 (c) 16 (d) 15
  16. 16.What is the median of 16, 22, 19, 1 and 13? (a) 16 (b) 17 (c) 13 (d) 19
  17. 17.The mean of 6 numbers is 32. When the number 53 is added to them, what is the new mean? (a) 36 (b) 32 (c) 34 (d) 35
  18. 18.The mean of 8 numbers is 21. When the number 3 is added to them, what is the new mean? (a) 12 (b) 21 (c) 20 (d) 19
  19. 19.What is the mode of 11, 20, 1, 18, 11, 11 and 1? (a) 18 (b) 1 (c) 11 (d) 20
  20. 20.What is the mode of 16, 14, 15, 14, 1, 16 and 16? (a) 15 (b) 1 (c) 14 (d) 16
  21. 21.The mean of 6 numbers is 20. When the number 34 is added to them, what is the new mean? (a) 20 (b) 22 (c) 23 (d) 27
  22. 22.What is the median of 12, 14, 24, 19 and 37? (a) 14 (b) 24 (c) 20 (d) 19
  23. 23.What is the mode of 14, 17, 18, 14, 14, 7 and 17? (a) 7 (b) 17 (c) 14 (d) 18
  24. 24.What is the mean of 3, 3, 18 and 12? (a) 12 (b) 10 (c) 8 (d) 9
  25. 25.What is the median of 9, 20, 26, 12 and 1? (a) 26 (b) 9 (c) 12 (d) 20
  26. 26.What is the mean of 14, 5, 4 and 9? (a) 9 (b) 8 (c) 7 (d) 10
  27. 27.The mean of 6 numbers is 17. When the number 24 is added to them, what is the new mean? (a) 18 (b) 20 (c) 19 (d) 17
  28. 28.What is the mode of 8, 14, 6, 2, 2, 8 and 8? (a) 2 (b) 6 (c) 8 (d) 14
  29. 29.What is the mode of 8, 3, 5, 8, 3, 3 and 7? (a) 3 (b) 5 (c) 7 (d) 8
  30. 30.What is the mode of 19, 19, 14, 14, 14, 7 and 3? (a) 3 (b) 7 (c) 19 (d) 14
  31. 31.What is the mode of 15, 6, 14, 6, 6, 3 and 14? (a) 3 (b) 6 (c) 14 (d) 15
  32. 32.The mean of 4 numbers is 40. When the number 35 is added to them, what is the new mean? (a) 41 (b) 39 (c) 40 (d) 38
  33. 33.What is the median of 19, 38, 3, 27, 39, 6 and 21? (a) 19 (b) 27 (c) 22 (d) 21
  34. 34.The mean of 7 numbers is 24. When the number 16 is added to them, what is the new mean? (a) 24 (b) 22 (c) 23 (d) 20
  35. 35.What is the median of 29, 32, 16, 9 and 38? (a) 32 (b) 30 (c) 29 (d) 16
  36. 36.The mean of 4 numbers is 26. When the number 6 is added to them, what is the new mean? (a) 26 (b) 16 (c) 23 (d) 22
  37. 37.The mean of 8 numbers is 28. When the number 19 is added to them, what is the new mean? (a) 27 (b) 26 (c) 29 (d) 28
  38. 38.What is the mean of 7, 14, 4 and 11? (a) 9 (b) 10 (c) 12 (d) 8
  39. 39.What is the mode of 19, 19, 19, 17, 3, 3 and 7? (a) 7 (b) 17 (c) 3 (d) 19
  40. 40.What is the mean of 6, 11, 6, 2 and 15? (a) 10 (b) 9 (c) 7 (d) 8

Answer key

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

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