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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 915 · 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 24. When the number 31 is added to them, what is the new mean? (a) 24 (b) 27 (c) 26 (d) 25
  2. 2.What is the median of 23, 35, 15, 21 and 12? (a) 15 (b) 22 (c) 21 (d) 23
  3. 3.What is the mode of 3, 4, 4, 3, 2, 3 and 16? (a) 4 (b) 2 (c) 3 (d) 16
  4. 4.What is the mode of 16, 11, 18, 20, 20, 11 and 20? (a) 16 (b) 11 (c) 18 (d) 20
  5. 5.What is the median of 24, 13, 36, 37 and 17? (a) 36 (b) 25 (c) 24 (d) 17
  6. 6.What is the mode of 20, 15, 8, 8, 8, 7 and 15? (a) 20 (b) 7 (c) 15 (d) 8
  7. 7.The mean of 3 numbers is 28. When the number 16 is added to them, what is the new mean? (a) 26 (b) 25 (c) 22 (d) 28
  8. 8.What is the mean of 4, 8, 5 and 7? (a) 8 (b) 6 (c) 5 (d) 7
  9. 9.The mean of 4 numbers is 28. When the number 43 is added to them, what is the new mean? (a) 31 (b) 28 (c) 32 (d) 30
  10. 10.What is the mean of 16, 15, 5, 6 and 13? (a) 13 (b) 11 (c) 10 (d) 12
  11. 11.What is the median of 21, 20, 30, 22, 5, 25 and 8? (a) 21 (b) 22 (c) 20 (d) 23
  12. 12.The mean of 3 numbers is 27. When the number 39 is added to them, what is the new mean? (a) 27 (b) 31 (c) 30 (d) 33
  13. 13.What is the median of 3, 13, 40, 25 and 1? (a) 40 (b) 25 (c) 13 (d) 3
  14. 14.What is the mean of 4, 4, 5, 15, 11 and 15? (a) 10 (b) 8 (c) 9 (d) 11
  15. 15.The mean of 6 numbers is 35. When the number 63 is added to them, what is the new mean? (a) 35 (b) 39 (c) 40 (d) 49
  16. 16.What is the median of 25, 11, 26, 32, 10, 24 and 6? (a) 11 (b) 24 (c) 25 (d) 32
  17. 17.What is the mean of 3, 17, 8 and 12? (a) 9 (b) 11 (c) 10 (d) 8
  18. 18.What is the mode of 6, 15, 16, 16, 16, 6 and 2? (a) 2 (b) 6 (c) 16 (d) 15
  19. 19.What is the mode of 13, 13, 18, 12, 7, 12 and 12? (a) 7 (b) 13 (c) 12 (d) 18
  20. 20.The mean of 4 numbers is 29. When the number 44 is added to them, what is the new mean? (a) 32 (b) 31 (c) 33 (d) 29
  21. 21.The mean of 4 numbers is 31. When the number 26 is added to them, what is the new mean? (a) 30 (b) 29 (c) 32 (d) 31
  22. 22.The mean of 3 numbers is 16. When the number 12 is added to them, what is the new mean? (a) 17 (b) 16 (c) 15 (d) 14
  23. 23.What is the median of 40, 28, 17, 25 and 9? (a) 25 (b) 28 (c) 17 (d) 26
  24. 24.The mean of 6 numbers is 17. When the number 10 is added to them, what is the new mean? (a) 15 (b) 16 (c) 17 (d) 18
  25. 25.What is the mean of 9, 16, 5, 2 and 23? (a) 10 (b) 11 (c) 13 (d) 12
  26. 26.The mean of 8 numbers is 34. When the number 70 is added to them, what is the new mean? (a) 39 (b) 34 (c) 38 (d) 52
  27. 27.What is the mean of 5, 3, 9 and 15? (a) 9 (b) 10 (c) 8 (d) 7
  28. 28.What is the median of 19, 9, 18, 16 and 12? (a) 18 (b) 12 (c) 16 (d) 17
  29. 29.The mean of 6 numbers is 25. When the number 39 is added to them, what is the new mean? (a) 32 (b) 25 (c) 27 (d) 28
  30. 30.What is the median of 5, 20, 34, 3 and 18? (a) 20 (b) 18 (c) 16 (d) 34
  31. 31.What is the mean of 6, 7, 10, 2, 18 and 17? (a) 11 (b) 9 (c) 12 (d) 10
  32. 32.What is the mode of 2, 20, 2, 12, 20, 6 and 2? (a) 20 (b) 12 (c) 2 (d) 6
  33. 33.The mean of 9 numbers is 17. When the number 7 is added to them, what is the new mean? (a) 17 (b) 15 (c) 12 (d) 16
  34. 34.What is the mode of 4, 9, 4, 13, 4, 13 and 20? (a) 4 (b) 9 (c) 20 (d) 13
  35. 35.What is the mode of 2, 7, 15, 2, 15, 6 and 15? (a) 6 (b) 7 (c) 2 (d) 15
  36. 36.What is the median of 24, 33, 39, 31 and 8? (a) 33 (b) 39 (c) 31 (d) 27
  37. 37.The mean of 5 numbers is 13. When the number 31 is added to them, what is the new mean? (a) 22 (b) 13 (c) 17 (d) 16
  38. 38.What is the mode of 5, 20, 2, 5, 20, 18 and 5? (a) 18 (b) 5 (c) 2 (d) 20
  39. 39.What is the mean of 16, 12, 7, 12 and 13? (a) 13 (b) 10 (c) 15 (d) 12
  40. 40.What is the mode of 17, 19, 1, 5, 19, 19 and 1? (a) 5 (b) 1 (c) 19 (d) 17

Answer key

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

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