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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 955 · 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 20, 11, 11, 20, 6, 14 and 11? (a) 11 (b) 20 (c) 14 (d) 6
  2. 2.The mean of 4 numbers is 26. When the number 21 is added to them, what is the new mean? (a) 25 (b) 24 (c) 26 (d) 27
  3. 3.What is the mean of 17, 13, 14 and 12? (a) 15 (b) 13 (c) 14 (d) 16
  4. 4.What is the median of 12, 9, 33, 16 and 11? (a) 12 (b) 33 (c) 16 (d) 11
  5. 5.What is the mode of 8, 15, 13, 15, 19, 15 and 19? (a) 8 (b) 13 (c) 19 (d) 15
  6. 6.What is the median of 36, 11, 5, 40 and 26? (a) 11 (b) 26 (c) 5 (d) 36
  7. 7.What is the mean of 5, 15, 17, 6, 12 and 17? (a) 11 (b) 13 (c) 14 (d) 12
  8. 8.What is the mean of 8, 18, 7 and 11? (a) 12 (b) 10 (c) 13 (d) 11
  9. 9.What is the mode of 19, 19, 10, 13, 10, 10 and 17? (a) 19 (b) 10 (c) 17 (d) 13
  10. 10.The mean of 3 numbers is 16. When the number 20 is added to them, what is the new mean? (a) 17 (b) 16 (c) 18 (d) 19
  11. 11.What is the median of 8, 7, 17, 18 and 10? (a) 17 (b) 12 (c) 10 (d) 8
  12. 12.What is the mean of 16, 3, 15 and 14? (a) 11 (b) 16 (c) 13 (d) 12
  13. 13.The mean of 8 numbers is 20. When the number 11 is added to them, what is the new mean? (a) 18 (b) 20 (c) 21 (d) 19
  14. 14.The mean of 8 numbers is 32. When the number 41 is added to them, what is the new mean? (a) 35 (b) 34 (c) 33 (d) 32
  15. 15.What is the median of 33, 17, 6, 39, 7, 32 and 30? (a) 30 (b) 39 (c) 32 (d) 17
  16. 16.The mean of 8 numbers is 22. When the number 13 is added to them, what is the new mean? (a) 20 (b) 23 (c) 22 (d) 21
  17. 17.What is the mean of 7, 15, 20, 18, 15 and 9? (a) 12 (b) 14 (c) 13 (d) 15
  18. 18.The mean of 3 numbers is 14. When the number 6 is added to them, what is the new mean? (a) 12 (b) 13 (c) 14 (d) 10
  19. 19.What is the median of 16, 25, 21, 9, 1, 26 and 20? (a) 9 (b) 21 (c) 16 (d) 20
  20. 20.What is the median of 4, 9, 8, 7, 36, 16 and 35? (a) 7 (b) 8 (c) 9 (d) 16
  21. 21.The mean of 4 numbers is 28. When the number 33 is added to them, what is the new mean? (a) 30 (b) 28 (c) 29 (d) 31
  22. 22.The mean of 8 numbers is 22. When the number 4 is added to them, what is the new mean? (a) 22 (b) 13 (c) 21 (d) 20
  23. 23.What is the mean of 16, 3, 18, 20 and 8? (a) 14 (b) 12 (c) 13 (d) 15
  24. 24.What is the mode of 12, 15, 15, 13, 15, 4 and 13? (a) 12 (b) 15 (c) 13 (d) 4
  25. 25.What is the mean of 19, 20, 16 and 9? (a) 16 (b) 15 (c) 17 (d) 18
  26. 26.The mean of 3 numbers is 39. When the number 27 is added to them, what is the new mean? (a) 39 (b) 37 (c) 36 (d) 33
  27. 27.The mean of 8 numbers is 22. When the number 58 is added to them, what is the new mean? (a) 27 (b) 40 (c) 26 (d) 22
  28. 28.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
  29. 29.What is the mode of 9, 8, 18, 8, 9, 9 and 1? (a) 8 (b) 9 (c) 18 (d) 1
  30. 30.What is the mean of 8, 17, 12, 14, 8 and 19? (a) 15 (b) 12 (c) 13 (d) 14
  31. 31.What is the median of 36, 11, 35, 2 and 7? (a) 12 (b) 7 (c) 35 (d) 11
  32. 32.What is the mean of 14, 6, 8, 18 and 14? (a) 12 (b) 15 (c) 13 (d) 10
  33. 33.What is the median of 5, 34, 31, 2 and 40? (a) 34 (b) 5 (c) 32 (d) 31
  34. 34.The mean of 4 numbers is 20. When the number 25 is added to them, what is the new mean? (a) 22 (b) 21 (c) 20 (d) 23
  35. 35.The mean of 6 numbers is 19. When the number 40 is added to them, what is the new mean? (a) 21 (b) 23 (c) 22 (d) 19
  36. 36.What is the mode of 18, 20, 20, 10, 4, 10 and 20? (a) 10 (b) 20 (c) 18 (d) 4
  37. 37.What is the median of 40, 16, 4, 24 and 26? (a) 22 (b) 24 (c) 4 (d) 26
  38. 38.What is the mode of 9, 12, 6, 12, 13, 6 and 6? (a) 6 (b) 9 (c) 12 (d) 13
  39. 39.What is the mean of 3, 18, 18, 2, 11 and 8? (a) 12 (b) 10 (c) 9 (d) 11
  40. 40.What is the mode of 9, 11, 15, 11, 11, 8 and 9? (a) 8 (b) 15 (c) 11 (d) 9

Answer key

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

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