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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 909 · 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 1, 20, 7, 10, 1, 1 and 7? (a) 10 (b) 1 (c) 20 (d) 7
  2. 2.What is the mean of 16, 15, 3, 4 and 17? (a) 10 (b) 13 (c) 11 (d) 12
  3. 3.The mean of 3 numbers is 17. When the number 29 is added to them, what is the new mean? (a) 23 (b) 17 (c) 20 (d) 21
  4. 4.What is the median of 37, 8, 20, 12 and 3? (a) 12 (b) 16 (c) 8 (d) 20
  5. 5.What is the mean of 19, 3, 7, 15 and 6? (a) 10 (b) 11 (c) 12 (d) 9
  6. 6.The mean of 7 numbers is 18. When the number 2 is added to them, what is the new mean? (a) 10 (b) 16 (c) 18 (d) 17
  7. 7.What is the median of 20, 10, 24, 16, 14, 30 and 5? (a) 14 (b) 20 (c) 16 (d) 17
  8. 8.The mean of 3 numbers is 17. When the number 21 is added to them, what is the new mean? (a) 17 (b) 19 (c) 20 (d) 18
  9. 9.What is the mean of 5, 13, 4, 20, 3 and 3? (a) 7 (b) 9 (c) 8 (d) 10
  10. 10.What is the median of 8, 3, 19, 38 and 7? (a) 8 (b) 7 (c) 15 (d) 19
  11. 11.The mean of 3 numbers is 17. When the number 5 is added to them, what is the new mean? (a) 14 (b) 11 (c) 15 (d) 17
  12. 12.The mean of 9 numbers is 32. When the number 52 is added to them, what is the new mean? (a) 32 (b) 35 (c) 42 (d) 34
  13. 13.What is the median of 1, 5, 18, 3, 31, 4 and 12? (a) 5 (b) 12 (c) 3 (d) 4
  14. 14.What is the mode of 4, 20, 3, 20, 18, 18 and 18? (a) 4 (b) 18 (c) 3 (d) 20
  15. 15.What is the mode of 7, 2, 1, 1, 7, 1 and 10? (a) 1 (b) 2 (c) 10 (d) 7
  16. 16.What is the median of 4, 8, 33, 30, 22, 40 and 34? (a) 30 (b) 22 (c) 33 (d) 31
  17. 17.What is the mode of 2, 15, 19, 19, 3, 19 and 2? (a) 3 (b) 2 (c) 19 (d) 15
  18. 18.What is the mean of 16, 17, 13, 13 and 6? (a) 13 (b) 14 (c) 15 (d) 12
  19. 19.What is the mode of 8, 1, 12, 11, 12, 1 and 12? (a) 12 (b) 11 (c) 1 (d) 8
  20. 20.What is the median of 15, 34, 25, 21 and 35? (a) 21 (b) 34 (c) 25 (d) 26
  21. 21.What is the mode of 3, 9, 20, 20, 17, 9 and 20? (a) 9 (b) 20 (c) 17 (d) 3
  22. 22.What is the median of 20, 7, 16, 39 and 26? (a) 16 (b) 26 (c) 21 (d) 20
  23. 23.The mean of 7 numbers is 33. When the number 57 is added to them, what is the new mean? (a) 36 (b) 33 (c) 45 (d) 37
  24. 24.What is the mean of 14, 5, 16, 18 and 12? (a) 12 (b) 15 (c) 14 (d) 13
  25. 25.What is the mean of 20, 19, 14, 4 and 8? (a) 13 (b) 12 (c) 14 (d) 15
  26. 26.What is the mean of 15, 19, 14 and 12? (a) 16 (b) 15 (c) 12 (d) 20
  27. 27.The mean of 3 numbers is 29. When the number 45 is added to them, what is the new mean? (a) 37 (b) 33 (c) 29 (d) 34
  28. 28.What is the mode of 10, 7, 20, 4, 20, 10 and 10? (a) 7 (b) 20 (c) 10 (d) 4
  29. 29.What is the median of 8, 28, 32, 39, 37, 2 and 19? (a) 28 (b) 39 (c) 19 (d) 32
  30. 30.What is the median of 23, 29, 18, 21 and 38? (a) 21 (b) 18 (c) 29 (d) 23
  31. 31.What is the mean of 19, 12, 20 and 13? (a) 15 (b) 18 (c) 16 (d) 17
  32. 32.What is the mean of 16, 18, 2 and 12? (a) 13 (b) 16 (c) 11 (d) 12
  33. 33.The mean of 6 numbers is 40. When the number 54 is added to them, what is the new mean? (a) 47 (b) 43 (c) 40 (d) 42
  34. 34.What is the mode of 1, 10, 17, 1, 1, 15 and 10? (a) 10 (b) 1 (c) 15 (d) 17
  35. 35.What is the median of 4, 20, 31, 17, 16, 14 and 1? (a) 17 (b) 16 (c) 15 (d) 14
  36. 36.What is the mean of 4, 17, 19, 9 and 21? (a) 15 (b) 14 (c) 16 (d) 13
  37. 37.What is the mean of 4, 17, 20, 13 and 6? (a) 15 (b) 10 (c) 13 (d) 12
  38. 38.The mean of 4 numbers is 32. When the number 22 is added to them, what is the new mean? (a) 27 (b) 32 (c) 30 (d) 31
  39. 39.What is the mode of 2, 10, 14, 2, 10, 10 and 11? (a) 14 (b) 10 (c) 11 (d) 2
  40. 40.What is the mean of 9, 17, 11, 7, 13 and 15? (a) 13 (b) 11 (c) 12 (d) 14

Answer key

  1. 1
  2. 11
  3. 20
  4. 12
  5. 10
  6. 16
  7. 16
  8. 18
  9. 8
  10. 8
  11. 14
  12. 34
  13. 5
  14. 18
  15. 1
  16. 30
  17. 19
  18. 13
  19. 12
  20. 25
  21. 20
  22. 20
  23. 36
  24. 13
  25. 13
  26. 15
  27. 33
  28. 10
  29. 28
  30. 23
  31. 16
  32. 12
  33. 42
  34. 1
  35. 16
  36. 14
  37. 12
  38. 30
  39. 10
  40. 12

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