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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 922 · 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.The mean of 6 numbers is 37. When the number 44 is added to them, what is the new mean? (a) 38 (b) 40 (c) 39 (d) 37
  2. 2.What is the mean of 4, 7, 5, 2 and 7? (a) 6 (b) 4 (c) 7 (d) 5
  3. 3.What is the mode of 14, 17, 18, 18, 20, 20 and 18? (a) 20 (b) 17 (c) 18 (d) 14
  4. 4.What is the median of 39, 36, 34, 3 and 12? (a) 12 (b) 34 (c) 35 (d) 36
  5. 5.What is the mean of 19, 6, 12, 19, 19 and 9? (a) 12 (b) 15 (c) 13 (d) 14
  6. 6.What is the mean of 6, 7, 4 and 7? (a) 6 (b) 8 (c) 5 (d) 7
  7. 7.The mean of 3 numbers is 10. When the number 14 is added to them, what is the new mean? (a) 13 (b) 11 (c) 12 (d) 10
  8. 8.The mean of 3 numbers is 29. When the number 17 is added to them, what is the new mean? (a) 26 (b) 29 (c) 23 (d) 27
  9. 9.What is the median of 31, 7, 39, 11, 36, 27 and 13? (a) 11 (b) 27 (c) 31 (d) 13
  10. 10.What is the median of 32, 22, 18, 27, 15, 26 and 33? (a) 22 (b) 26 (c) 27 (d) 25
  11. 11.What is the mean of 6, 8, 4 and 18? (a) 9 (b) 8 (c) 10 (d) 12
  12. 12.What is the median of 13, 9, 21, 2 and 26? (a) 21 (b) 9 (c) 14 (d) 13
  13. 13.What is the median of 17, 7, 20, 16 and 9? (a) 9 (b) 16 (c) 17 (d) 20
  14. 14.The mean of 3 numbers is 36. When the number 20 is added to them, what is the new mean? (a) 33 (b) 36 (c) 28 (d) 32
  15. 15.The mean of 8 numbers is 30. When the number 57 is added to them, what is the new mean? (a) 33 (b) 32 (c) 30 (d) 34
  16. 16.What is the median of 24, 2, 1, 7, 12, 38 and 35? (a) 7 (b) 17 (c) 24 (d) 12
  17. 17.The mean of 8 numbers is 10. When the number 37 is added to them, what is the new mean? (a) 12 (b) 10 (c) 13 (d) 14
  18. 18.What is the mean of 15, 5, 7, 15 and 18? (a) 15 (b) 10 (c) 12 (d) 13
  19. 19.The mean of 9 numbers is 13. When the number 3 is added to them, what is the new mean? (a) 11 (b) 12 (c) 13 (d) 8
  20. 20.What is the median of 38, 16, 32, 15 and 8? (a) 32 (b) 15 (c) 17 (d) 16
  21. 21.The mean of 8 numbers is 31. When the number 67 is added to them, what is the new mean? (a) 31 (b) 36 (c) 35 (d) 49
  22. 22.What is the median of 21, 12, 16, 29, 30, 19 and 9? (a) 21 (b) 19 (c) 29 (d) 16
  23. 23.What is the mean of 10, 4, 18, 7, 8 and 13? (a) 12 (b) 11 (c) 9 (d) 10
  24. 24.What is the median of 13, 1, 31, 34, 11, 10 and 22? (a) 22 (b) 11 (c) 13 (d) 34
  25. 25.What is the mean of 7, 14, 9, 12 and 8? (a) 12 (b) 9 (c) 10 (d) 11
  26. 26.The mean of 6 numbers is 12. When the number 33 is added to them, what is the new mean? (a) 12 (b) 14 (c) 15 (d) 16
  27. 27.What is the mode of 12, 12, 8, 8, 12, 2 and 20? (a) 8 (b) 20 (c) 2 (d) 12
  28. 28.The mean of 3 numbers is 25. When the number 9 is added to them, what is the new mean? (a) 17 (b) 25 (c) 22 (d) 21
  29. 29.What is the mode of 7, 4, 7, 4, 4, 15 and 13? (a) 4 (b) 13 (c) 15 (d) 7
  30. 30.What is the mode of 2, 16, 16, 16, 17, 8 and 2? (a) 2 (b) 8 (c) 17 (d) 16
  31. 31.What is the mean of 11, 13, 14, 12 and 10? (a) 12 (b) 10 (c) 13 (d) 15
  32. 32.What is the mode of 8, 4, 19, 4, 16, 4 and 8? (a) 19 (b) 4 (c) 8 (d) 16
  33. 33.The mean of 4 numbers is 12. When the number 2 is added to them, what is the new mean? (a) 12 (b) 7 (c) 10 (d) 11
  34. 34.What is the mode of 17, 17, 7, 13, 11, 17 and 7? (a) 7 (b) 11 (c) 17 (d) 13
  35. 35.The mean of 6 numbers is 15. When the number 8 is added to them, what is the new mean? (a) 15 (b) 14 (c) 13 (d) 16
  36. 36.What is the median of 20, 17, 34, 38, 2, 8 and 5? (a) 38 (b) 17 (c) 20 (d) 8
  37. 37.The mean of 4 numbers is 29. When the number 19 is added to them, what is the new mean? (a) 24 (b) 27 (c) 28 (d) 29
  38. 38.What is the median of 23, 7, 5, 20 and 1? (a) 8 (b) 5 (c) 20 (d) 7
  39. 39.What is the mean of 20, 6, 7, 3, 2 and 16? (a) 11 (b) 8 (c) 9 (d) 10
  40. 40.What is the mean of 15, 18, 9 and 6? (a) 13 (b) 16 (c) 12 (d) 11

Answer key

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

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