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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 968 · 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 2, 18, 2, 7, 18, 15 and 2? (a) 18 (b) 2 (c) 15 (d) 7
  2. 2.What is the median of 2, 3, 40, 23, 39, 6 and 14? (a) 23 (b) 15 (c) 14 (d) 6
  3. 3.What is the median of 7, 19, 10, 21 and 40? (a) 10 (b) 19 (c) 20 (d) 21
  4. 4.What is the mean of 19, 14, 2, 13, 6 and 6? (a) 10 (b) 11 (c) 12 (d) 9
  5. 5.What is the mean of 16, 10, 13 and 9? (a) 12 (b) 16 (c) 11 (d) 13
  6. 6.The mean of 9 numbers is 23. When the number 13 is added to them, what is the new mean? (a) 21 (b) 22 (c) 23 (d) 18
  7. 7.What is the mean of 18, 17, 6 and 3? (a) 11 (b) 13 (c) 10 (d) 12
  8. 8.What is the median of 19, 12, 15, 21 and 40? (a) 15 (b) 19 (c) 21 (d) 20
  9. 9.What is the mean of 14, 2, 17, 15 and 12? (a) 13 (b) 15 (c) 10 (d) 12
  10. 10.What is the mode of 4, 16, 12, 12, 12, 15 and 16? (a) 16 (b) 4 (c) 12 (d) 15
  11. 11.What is the mean of 18, 2, 18, 9, 12 and 7? (a) 11 (b) 12 (c) 13 (d) 10
  12. 12.What is the mode of 17, 7, 2, 2, 12, 7 and 2? (a) 12 (b) 17 (c) 7 (d) 2
  13. 13.What is the mean of 2, 10, 14 and 6? (a) 9 (b) 10 (c) 8 (d) 7
  14. 14.What is the mean of 4, 5, 16 and 11? (a) 8 (b) 12 (c) 9 (d) 10
  15. 15.What is the mode of 13, 16, 16, 16, 7, 3 and 3? (a) 13 (b) 16 (c) 3 (d) 7
  16. 16.What is the mode of 5, 2, 4, 8, 2, 5 and 2? (a) 2 (b) 4 (c) 8 (d) 5
  17. 17.The mean of 4 numbers is 31. When the number 21 is added to them, what is the new mean? (a) 26 (b) 31 (c) 29 (d) 30
  18. 18.What is the median of 37, 29, 28, 12 and 15? (a) 28 (b) 27 (c) 29 (d) 15
  19. 19.What is the mean of 19, 2, 6 and 17? (a) 13 (b) 12 (c) 10 (d) 11
  20. 20.What is the median of 14, 11, 31, 7 and 40? (a) 15 (b) 11 (c) 14 (d) 31
  21. 21.What is the mode of 2, 7, 4, 2, 6, 4 and 2? (a) 4 (b) 7 (c) 2 (d) 6
  22. 22.What is the mode of 8, 14, 10, 14, 17, 14 and 10? (a) 17 (b) 8 (c) 14 (d) 10
  23. 23.The mean of 8 numbers is 28. When the number 19 is added to them, what is the new mean? (a) 28 (b) 26 (c) 27 (d) 29
  24. 24.The mean of 3 numbers is 22. When the number 34 is added to them, what is the new mean? (a) 28 (b) 26 (c) 25 (d) 22
  25. 25.What is the median of 36, 7, 27, 9 and 1? (a) 16 (b) 27 (c) 9 (d) 7
  26. 26.What is the mode of 7, 7, 1, 16, 7, 19 and 1? (a) 19 (b) 16 (c) 7 (d) 1
  27. 27.What is the mode of 14, 1, 11, 14, 1, 5 and 14? (a) 11 (b) 1 (c) 14 (d) 5
  28. 28.The mean of 3 numbers is 37. When the number 29 is added to them, what is the new mean? (a) 36 (b) 33 (c) 35 (d) 37
  29. 29.What is the mean of 5, 13, 8 and 6? (a) 9 (b) 7 (c) 8 (d) 10
  30. 30.What is the mode of 3, 1, 17, 3, 17, 17 and 19? (a) 1 (b) 3 (c) 19 (d) 17
  31. 31.The mean of 9 numbers is 24. When the number 44 is added to them, what is the new mean? (a) 34 (b) 27 (c) 24 (d) 26
  32. 32.What is the mean of 3, 13, 9, 4 and 11? (a) 9 (b) 10 (c) 8 (d) 7
  33. 33.What is the mode of 8, 16, 16, 8, 12, 16 and 9? (a) 16 (b) 8 (c) 12 (d) 9
  34. 34.What is the mode of 13, 10, 10, 13, 10, 2 and 20? (a) 20 (b) 13 (c) 10 (d) 2
  35. 35.What is the mode of 4, 1, 9, 1, 1, 12 and 12? (a) 4 (b) 12 (c) 9 (d) 1
  36. 36.What is the mean of 9, 16, 13, 6, 8 and 2? (a) 10 (b) 11 (c) 8 (d) 9
  37. 37.The mean of 3 numbers is 38. When the number 42 is added to them, what is the new mean? (a) 38 (b) 39 (c) 40 (d) 41
  38. 38.What is the mean of 6, 10, 16, 3, 5 and 20? (a) 11 (b) 10 (c) 12 (d) 9
  39. 39.What is the median of 38, 8, 11, 7 and 20? (a) 12 (b) 11 (c) 8 (d) 20
  40. 40.The mean of 3 numbers is 40. When the number 44 is added to them, what is the new mean? (a) 43 (b) 41 (c) 40 (d) 42

Answer key

  1. 2
  2. 14
  3. 19
  4. 10
  5. 12
  6. 22
  7. 11
  8. 19
  9. 12
  10. 12
  11. 11
  12. 2
  13. 8
  14. 9
  15. 16
  16. 2
  17. 29
  18. 28
  19. 11
  20. 14
  21. 2
  22. 14
  23. 27
  24. 25
  25. 9
  26. 7
  27. 14
  28. 35
  29. 8
  30. 17
  31. 26
  32. 8
  33. 16
  34. 10
  35. 1
  36. 9
  37. 39
  38. 10
  39. 11
  40. 41

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