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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 929 · 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 median of 4, 40, 29, 6 and 11? (a) 6 (b) 18 (c) 29 (d) 11
  2. 2.What is the mode of 9, 3, 20, 15, 3, 15 and 15? (a) 9 (b) 15 (c) 20 (d) 3
  3. 3.What is the median of 1, 20, 5, 22, 34, 12 and 4? (a) 12 (b) 14 (c) 20 (d) 22
  4. 4.What is the mode of 19, 8, 19, 15, 8, 17 and 8? (a) 8 (b) 17 (c) 15 (d) 19
  5. 5.What is the mean of 9, 18, 19, 17 and 12? (a) 14 (b) 15 (c) 17 (d) 16
  6. 6.What is the median of 3, 38, 34, 11 and 1? (a) 11 (b) 3 (c) 12 (d) 34
  7. 7.What is the mean of 18, 11, 13, 16 and 7? (a) 15 (b) 12 (c) 13 (d) 14
  8. 8.What is the mean of 14, 10, 13 and 19? (a) 13 (b) 15 (c) 14 (d) 16
  9. 9.What is the median of 12, 4, 40, 35, 23, 14 and 13? (a) 13 (b) 23 (c) 14 (d) 35
  10. 10.What is the mode of 12, 10, 2, 2, 12, 20 and 12? (a) 2 (b) 20 (c) 10 (d) 12
  11. 11.What is the mode of 5, 11, 10, 10, 11, 10 and 18? (a) 11 (b) 18 (c) 10 (d) 5
  12. 12.What is the mean of 18, 10, 15 and 9? (a) 15 (b) 13 (c) 14 (d) 12
  13. 13.What is the mode of 7, 19, 1, 1, 1, 19 and 11? (a) 19 (b) 1 (c) 11 (d) 7
  14. 14.The mean of 9 numbers is 32. When the number 22 is added to them, what is the new mean? (a) 27 (b) 30 (c) 31 (d) 32
  15. 15.What is the mode of 20, 1, 1, 15, 14, 1 and 15? (a) 1 (b) 14 (c) 20 (d) 15
  16. 16.What is the mode of 9, 3, 9, 10, 9, 15 and 3? (a) 10 (b) 15 (c) 3 (d) 9
  17. 17.What is the mean of 9, 7, 4, 2 and 3? (a) 4 (b) 5 (c) 6 (d) 7
  18. 18.The mean of 7 numbers is 24. When the number 8 is added to them, what is the new mean? (a) 22 (b) 24 (c) 23 (d) 16
  19. 19.What is the mode of 10, 2, 4, 2, 18, 10 and 10? (a) 18 (b) 4 (c) 2 (d) 10
  20. 20.The mean of 4 numbers is 21. When the number 16 is added to them, what is the new mean? (a) 19 (b) 21 (c) 20 (d) 22
  21. 21.What is the median of 26, 4, 15, 33, 29, 13 and 28? (a) 26 (b) 28 (c) 15 (d) 33
  22. 22.What is the mean of 16, 18, 7, 20, 19 and 16? (a) 17 (b) 15 (c) 18 (d) 16
  23. 23.What is the mode of 6, 1, 2, 6, 9, 1 and 1? (a) 1 (b) 2 (c) 9 (d) 6
  24. 24.What is the median of 33, 34, 17, 10, 8, 35 and 2? (a) 10 (b) 18 (c) 17 (d) 33
  25. 25.What is the median of 31, 23, 16, 3 and 15? (a) 17 (b) 15 (c) 23 (d) 16
  26. 26.The mean of 4 numbers is 11. When the number 31 is added to them, what is the new mean? (a) 16 (b) 21 (c) 15 (d) 11
  27. 27.What is the mode of 14, 14, 14, 16, 9, 12 and 12? (a) 14 (b) 16 (c) 12 (d) 9
  28. 28.What is the mode of 20, 20, 17, 3, 3, 15 and 20? (a) 15 (b) 20 (c) 3 (d) 17
  29. 29.What is the mode of 13, 9, 20, 13, 17, 13 and 20? (a) 13 (b) 17 (c) 20 (d) 9
  30. 30.The mean of 7 numbers is 28. When the number 60 is added to them, what is the new mean? (a) 44 (b) 33 (c) 28 (d) 32
  31. 31.The mean of 7 numbers is 27. When the number 43 is added to them, what is the new mean? (a) 30 (b) 35 (c) 27 (d) 29
  32. 32.What is the median of 20, 23, 17, 10 and 25? (a) 17 (b) 23 (c) 19 (d) 20
  33. 33.What is the median of 22, 29, 2, 24 and 6? (a) 22 (b) 24 (c) 6 (d) 2
  34. 34.What is the mean of 2, 14, 5, 4, 4 and 13? (a) 6 (b) 9 (c) 8 (d) 7
  35. 35.What is the mean of 3, 14, 14, 14, 8 and 13? (a) 10 (b) 13 (c) 12 (d) 11
  36. 36.What is the median of 25, 13, 32, 1 and 12? (a) 13 (b) 12 (c) 25 (d) 32
  37. 37.What is the median of 22, 26, 9, 15, 13, 11 and 6? (a) 13 (b) 11 (c) 14 (d) 15
  38. 38.The mean of 9 numbers is 30. When the number 10 is added to them, what is the new mean? (a) 20 (b) 29 (c) 28 (d) 30
  39. 39.What is the mode of 2, 17, 17, 18, 18, 18 and 13? (a) 2 (b) 17 (c) 13 (d) 18
  40. 40.What is the mean of 20, 16, 11 and 5? (a) 15 (b) 12 (c) 13 (d) 14

Answer key

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

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