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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 904 · 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 18, 16, 9, 2, 17 and 16? (a) 15 (b) 12 (c) 13 (d) 14
  2. 2.What is the mode of 7, 7, 14, 7, 16, 16 and 13? (a) 16 (b) 14 (c) 7 (d) 13
  3. 3.What is the mode of 7, 1, 14, 1, 14, 4 and 1? (a) 7 (b) 1 (c) 14 (d) 4
  4. 4.What is the median of 29, 35, 1, 4 and 34? (a) 1 (b) 4 (c) 34 (d) 29
  5. 5.What is the mode of 19, 2, 19, 1, 17, 17 and 17? (a) 1 (b) 19 (c) 2 (d) 17
  6. 6.The mean of 8 numbers is 25. When the number 16 is added to them, what is the new mean? (a) 25 (b) 23 (c) 26 (d) 24
  7. 7.What is the mean of 8, 7, 9 and 20? (a) 12 (b) 11 (c) 13 (d) 10
  8. 8.What is the mean of 13, 6, 2, 12 and 2? (a) 9 (b) 6 (c) 7 (d) 8
  9. 9.What is the mode of 17, 12, 17, 17, 9, 7 and 7? (a) 17 (b) 7 (c) 12 (d) 9
  10. 10.The mean of 4 numbers is 24. When the number 19 is added to them, what is the new mean? (a) 23 (b) 22 (c) 25 (d) 24
  11. 11.What is the mode of 18, 5, 18, 5, 14, 17 and 18? (a) 14 (b) 5 (c) 18 (d) 17
  12. 12.What is the mode of 15, 16, 11, 16, 17, 11 and 16? (a) 15 (b) 17 (c) 16 (d) 11
  13. 13.What is the median of 26, 22, 2, 8 and 15? (a) 22 (b) 2 (c) 8 (d) 15
  14. 14.The mean of 9 numbers is 15. When the number 35 is added to them, what is the new mean? (a) 18 (b) 15 (c) 17 (d) 25
  15. 15.What is the mode of 17, 9, 4, 9, 16, 4 and 4? (a) 17 (b) 9 (c) 16 (d) 4
  16. 16.The mean of 9 numbers is 10. When the number 30 is added to them, what is the new mean? (a) 13 (b) 10 (c) 20 (d) 12
  17. 17.What is the mode of 3, 19, 18, 18, 18, 3 and 16? (a) 18 (b) 3 (c) 19 (d) 16
  18. 18.What is the median of 3, 21, 30, 27, 20, 13 and 12? (a) 18 (b) 27 (c) 20 (d) 21
  19. 19.What is the mean of 9, 2, 15 and 6? (a) 8 (b) 7 (c) 9 (d) 10
  20. 20.The mean of 9 numbers is 19. When the number 29 is added to them, what is the new mean? (a) 21 (b) 20 (c) 24 (d) 19
  21. 21.What is the mode of 11, 5, 11, 19, 19, 11 and 15? (a) 19 (b) 15 (c) 11 (d) 5
  22. 22.What is the mode of 10, 20, 20, 10, 6, 3 and 20? (a) 6 (b) 10 (c) 20 (d) 3
  23. 23.The mean of 4 numbers is 20. When the number 40 is added to them, what is the new mean? (a) 25 (b) 20 (c) 24 (d) 30
  24. 24.What is the mean of 20, 18, 20, 2 and 20? (a) 17 (b) 20 (c) 15 (d) 16
  25. 25.What is the mode of 1, 13, 12, 13, 1, 13 and 15? (a) 12 (b) 15 (c) 13 (d) 1
  26. 26.The mean of 3 numbers is 38. When the number 42 is added to them, what is the new mean? (a) 41 (b) 38 (c) 40 (d) 39
  27. 27.What is the median of 7, 32, 33, 10, 8, 25 and 30? (a) 30 (b) 26 (c) 10 (d) 25
  28. 28.What is the mode of 11, 2, 11, 11, 18, 3 and 18? (a) 11 (b) 18 (c) 2 (d) 3
  29. 29.What is the median of 19, 17, 16, 21, 36, 7 and 15? (a) 19 (b) 21 (c) 17 (d) 16
  30. 30.The mean of 5 numbers is 31. When the number 49 is added to them, what is the new mean? (a) 35 (b) 40 (c) 34 (d) 31
  31. 31.The mean of 8 numbers is 28. When the number 1 is added to them, what is the new mean? (a) 24 (b) 25 (c) 26 (d) 28
  32. 32.The mean of 3 numbers is 11. When the number 7 is added to them, what is the new mean? (a) 10 (b) 11 (c) 9 (d) 12
  33. 33.What is the median of 5, 33, 24, 9 and 14? (a) 24 (b) 17 (c) 9 (d) 14
  34. 34.The mean of 7 numbers is 40. When the number 64 is added to them, what is the new mean? (a) 43 (b) 40 (c) 52 (d) 44
  35. 35.The mean of 3 numbers is 23. When the number 31 is added to them, what is the new mean? (a) 23 (b) 27 (c) 26 (d) 25
  36. 36.What is the mode of 9, 1, 15, 5, 1, 9 and 9? (a) 9 (b) 5 (c) 1 (d) 15
  37. 37.What is the mode of 13, 13, 18, 11, 5, 13 and 11? (a) 5 (b) 11 (c) 13 (d) 18
  38. 38.What is the mean of 20, 3, 20, 7, 6 and 22? (a) 12 (b) 14 (c) 15 (d) 13
  39. 39.What is the mode of 2, 2, 8, 4, 3, 8 and 2? (a) 4 (b) 2 (c) 8 (d) 3
  40. 40.What is the median of 3, 9, 4, 7 and 1? (a) 4 (b) 7 (c) 3 (d) 5

Answer key

  1. 13
  2. 7
  3. 1
  4. 29
  5. 17
  6. 24
  7. 11
  8. 7
  9. 17
  10. 23
  11. 18
  12. 16
  13. 15
  14. 17
  15. 4
  16. 12
  17. 18
  18. 20
  19. 8
  20. 20
  21. 11
  22. 20
  23. 24
  24. 16
  25. 13
  26. 39
  27. 25
  28. 11
  29. 17
  30. 34
  31. 25
  32. 10
  33. 14
  34. 43
  35. 25
  36. 9
  37. 13
  38. 13
  39. 2
  40. 4

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