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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 998 · 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 10, 5, 11, 6, 20 and 20? (a) 11 (b) 13 (c) 12 (d) 14
  2. 2.What is the mean of 10, 2, 15, 9 and 14? (a) 12 (b) 10 (c) 11 (d) 9
  3. 3.What is the mean of 10, 12, 7 and 15? (a) 13 (b) 10 (c) 11 (d) 12
  4. 4.What is the mode of 3, 3, 3, 2, 16, 2 and 18? (a) 2 (b) 18 (c) 3 (d) 16
  5. 5.What is the mean of 16, 2, 9 and 9? (a) 8 (b) 12 (c) 10 (d) 9
  6. 6.What is the mode of 6, 6, 14, 14, 14, 3 and 17? (a) 17 (b) 6 (c) 14 (d) 3
  7. 7.What is the mode of 3, 12, 5, 12, 12, 18 and 3? (a) 3 (b) 18 (c) 5 (d) 12
  8. 8.The mean of 7 numbers is 39. When the number 7 is added to them, what is the new mean? (a) 23 (b) 39 (c) 35 (d) 36
  9. 9.The mean of 5 numbers is 18. When the number 12 is added to them, what is the new mean? (a) 16 (b) 17 (c) 15 (d) 18
  10. 10.The mean of 9 numbers is 34. When the number 64 is added to them, what is the new mean? (a) 38 (b) 37 (c) 34 (d) 49
  11. 11.What is the mean of 13, 17, 12 and 22? (a) 16 (b) 18 (c) 15 (d) 17
  12. 12.The mean of 5 numbers is 22. When the number 46 is added to them, what is the new mean? (a) 27 (b) 22 (c) 34 (d) 26
  13. 13.What is the mean of 12, 2, 17, 11, 13 and 17? (a) 11 (b) 13 (c) 12 (d) 14
  14. 14.The mean of 9 numbers is 17. When the number 7 is added to them, what is the new mean? (a) 17 (b) 15 (c) 12 (d) 16
  15. 15.The mean of 3 numbers is 21. When the number 37 is added to them, what is the new mean? (a) 25 (b) 21 (c) 29 (d) 26
  16. 16.The mean of 6 numbers is 24. When the number 3 is added to them, what is the new mean? (a) 21 (b) 24 (c) 22 (d) 20
  17. 17.What is the median of 23, 1, 35, 21 and 33? (a) 35 (b) 23 (c) 21 (d) 33
  18. 18.What is the mode of 12, 15, 15, 20, 12, 9 and 15? (a) 15 (b) 20 (c) 9 (d) 12
  19. 19.What is the mode of 19, 10, 3, 14, 3, 3 and 10? (a) 19 (b) 3 (c) 10 (d) 14
  20. 20.The mean of 7 numbers is 10. When the number 18 is added to them, what is the new mean? (a) 11 (b) 10 (c) 14 (d) 12
  21. 21.What is the median of 11, 36, 19, 24 and 40? (a) 19 (b) 36 (c) 26 (d) 24
  22. 22.What is the median of 4, 5, 28, 18 and 26? (a) 18 (b) 28 (c) 26 (d) 5
  23. 23.What is the mean of 3, 16, 2 and 15? (a) 8 (b) 12 (c) 10 (d) 9
  24. 24.What is the mode of 3, 18, 10, 3, 18, 15 and 18? (a) 15 (b) 18 (c) 10 (d) 3
  25. 25.What is the mode of 9, 11, 9, 7, 11, 9 and 15? (a) 11 (b) 15 (c) 7 (d) 9
  26. 26.What is the mode of 9, 15, 9, 15, 15, 1 and 13? (a) 9 (b) 15 (c) 1 (d) 13
  27. 27.What is the mode of 11, 8, 18, 11, 11, 8 and 4? (a) 4 (b) 8 (c) 11 (d) 18
  28. 28.What is the median of 24, 38, 10, 19, 22, 3 and 5? (a) 22 (b) 19 (c) 20 (d) 10
  29. 29.What is the mode of 6, 2, 15, 19, 19, 6 and 19? (a) 15 (b) 19 (c) 6 (d) 2
  30. 30.What is the mean of 2, 6, 8, 11 and 13? (a) 9 (b) 7 (c) 10 (d) 8
  31. 31.What is the median of 1, 17, 8, 22, 7, 14 and 26? (a) 17 (b) 14 (c) 8 (d) 22
  32. 32.What is the mode of 9, 17, 9, 9, 11, 11 and 20? (a) 17 (b) 20 (c) 11 (d) 9
  33. 33.What is the mean of 5, 9, 3 and 7? (a) 8 (b) 6 (c) 5 (d) 7
  34. 34.What is the mean of 15, 5, 18, 13, 3 and 6? (a) 12 (b) 9 (c) 11 (d) 10
  35. 35.What is the median of 31, 28, 22, 30 and 39? (a) 30 (b) 28 (c) 22 (d) 31
  36. 36.What is the median of 7, 1, 3, 15, 4, 12 and 23? (a) 7 (b) 15 (c) 12 (d) 4
  37. 37.What is the mode of 1, 3, 13, 12, 13, 12 and 13? (a) 1 (b) 12 (c) 3 (d) 13
  38. 38.The mean of 7 numbers is 36. When the number 28 is added to them, what is the new mean? (a) 36 (b) 34 (c) 32 (d) 35
  39. 39.What is the mean of 7, 17, 8, 13 and 15? (a) 13 (b) 15 (c) 12 (d) 10
  40. 40.What is the median of 28, 29, 31, 35, 4, 36 and 25? (a) 28 (b) 35 (c) 31 (d) 29

Answer key

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

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