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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 908 · 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 5, 5, 11, 8, 11, 1 and 5? (a) 8 (b) 5 (c) 1 (d) 11
  2. 2.What is the mode of 3, 1, 9, 9, 20, 3 and 9? (a) 3 (b) 20 (c) 1 (d) 9
  3. 3.The mean of 8 numbers is 21. When the number 30 is added to them, what is the new mean? (a) 24 (b) 22 (c) 23 (d) 21
  4. 4.What is the mean of 4, 11, 2, 13, 15 and 21? (a) 11 (b) 13 (c) 10 (d) 12
  5. 5.The mean of 8 numbers is 26. When the number 53 is added to them, what is the new mean? (a) 26 (b) 29 (c) 30 (d) 28
  6. 6.What is the mode of 12, 4, 16, 20, 20, 12 and 20? (a) 20 (b) 16 (c) 4 (d) 12
  7. 7.What is the mode of 18, 6, 7, 9, 18, 6 and 18? (a) 6 (b) 18 (c) 9 (d) 7
  8. 8.What is the mode of 1, 7, 6, 7, 9, 9 and 9? (a) 1 (b) 6 (c) 9 (d) 7
  9. 9.What is the mode of 3, 12, 4, 3, 12, 6 and 12? (a) 4 (b) 6 (c) 3 (d) 12
  10. 10.The mean of 5 numbers is 16. When the number 40 is added to them, what is the new mean? (a) 21 (b) 28 (c) 16 (d) 20
  11. 11.What is the median of 27, 9, 32, 17 and 40? (a) 32 (b) 25 (c) 17 (d) 27
  12. 12.What is the mean of 17, 4, 18, 14, 16 and 15? (a) 15 (b) 12 (c) 13 (d) 14
  13. 13.What is the mean of 15, 6, 2, 2, 7 and 10? (a) 9 (b) 7 (c) 6 (d) 8
  14. 14.What is the median of 35, 9, 7, 11, 32, 6 and 30? (a) 12 (b) 30 (c) 11 (d) 9
  15. 15.The mean of 3 numbers is 22. When the number 34 is added to them, what is the new mean? (a) 28 (b) 25 (c) 26 (d) 22
  16. 16.The mean of 7 numbers is 27. When the number 11 is added to them, what is the new mean? (a) 19 (b) 27 (c) 26 (d) 25
  17. 17.What is the mode of 10, 17, 17, 2, 10, 13 and 17? (a) 10 (b) 17 (c) 13 (d) 2
  18. 18.What is the median of 10, 7, 24, 8, 2, 20 and 34? (a) 8 (b) 10 (c) 15 (d) 20
  19. 19.The mean of 3 numbers is 21. When the number 37 is added to them, what is the new mean? (a) 26 (b) 25 (c) 29 (d) 21
  20. 20.What is the median of 13, 24, 34, 14, 27, 5 and 18? (a) 14 (b) 19 (c) 24 (d) 18
  21. 21.What is the median of 15, 35, 18, 10 and 30? (a) 19 (b) 18 (c) 15 (d) 30
  22. 22.What is the mean of 19, 6, 11 and 12? (a) 12 (b) 11 (c) 13 (d) 16
  23. 23.What is the mean of 16, 5, 3, 8 and 18? (a) 9 (b) 12 (c) 11 (d) 10
  24. 24.What is the mode of 17, 18, 1, 18, 11, 17 and 17? (a) 11 (b) 17 (c) 18 (d) 1
  25. 25.What is the mean of 4, 15, 19, 5, 11 and 12? (a) 10 (b) 12 (c) 11 (d) 13
  26. 26.The mean of 3 numbers is 13. When the number 29 is added to them, what is the new mean? (a) 17 (b) 13 (c) 21 (d) 18
  27. 27.What is the mode of 19, 20, 20, 19, 19, 16 and 14? (a) 16 (b) 19 (c) 20 (d) 14
  28. 28.What is the mean of 2, 2, 7, 7 and 7? (a) 7 (b) 4 (c) 6 (d) 5
  29. 29.What is the mode of 18, 16, 2, 4, 4, 4 and 18? (a) 2 (b) 18 (c) 4 (d) 16
  30. 30.The mean of 5 numbers is 13. When the number 37 is added to them, what is the new mean? (a) 25 (b) 18 (c) 13 (d) 17
  31. 31.What is the median of 4, 22, 40, 6 and 32? (a) 32 (b) 40 (c) 22 (d) 6
  32. 32.What is the mode of 13, 7, 13, 20, 12, 20 and 20? (a) 12 (b) 7 (c) 20 (d) 13
  33. 33.What is the mean of 16, 7, 10 and 15? (a) 12 (b) 13 (c) 16 (d) 11
  34. 34.The mean of 9 numbers is 25. When the number 35 is added to them, what is the new mean? (a) 30 (b) 27 (c) 25 (d) 26
  35. 35.The mean of 3 numbers is 31. When the number 43 is added to them, what is the new mean? (a) 31 (b) 35 (c) 37 (d) 34
  36. 36.The mean of 3 numbers is 26. When the number 38 is added to them, what is the new mean? (a) 26 (b) 30 (c) 29 (d) 32
  37. 37.What is the mode of 6, 15, 14, 2, 6, 15 and 15? (a) 2 (b) 6 (c) 14 (d) 15
  38. 38.What is the median of 22, 38, 20, 28 and 14? (a) 20 (b) 23 (c) 28 (d) 22
  39. 39.What is the mode of 18, 20, 11, 8, 18, 20 and 18? (a) 8 (b) 20 (c) 18 (d) 11
  40. 40.What is the median of 11, 33, 38, 29 and 36? (a) 38 (b) 29 (c) 36 (d) 33

Answer key

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

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