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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 925 · 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, 13, 13, 5, 11, 5 and 15? (a) 5 (b) 13 (c) 11 (d) 15
  2. 2.What is the mean of 7, 5, 20 and 20? (a) 13 (b) 14 (c) 12 (d) 15
  3. 3.What is the mode of 4, 11, 4, 4, 2, 11 and 14? (a) 14 (b) 2 (c) 11 (d) 4
  4. 4.What is the mean of 9, 4, 19, 7 and 16? (a) 12 (b) 11 (c) 13 (d) 10
  5. 5.What is the median of 13, 19, 10, 7 and 4? (a) 13 (b) 10 (c) 11 (d) 7
  6. 6.What is the median of 30, 20, 38, 35, 13, 31 and 21? (a) 31 (b) 30 (c) 21 (d) 35
  7. 7.The mean of 4 numbers is 22. When the number 37 is added to them, what is the new mean? (a) 25 (b) 24 (c) 22 (d) 26
  8. 8.What is the mean of 7, 13, 2 and 10? (a) 9 (b) 10 (c) 8 (d) 7
  9. 9.What is the median of 12, 6, 32, 20 and 15? (a) 20 (b) 32 (c) 15 (d) 17
  10. 10.What is the mode of 5, 1, 12, 1, 5, 19 and 1? (a) 12 (b) 1 (c) 19 (d) 5
  11. 11.What is the mean of 7, 14, 11, 10, 10 and 14? (a) 13 (b) 10 (c) 12 (d) 11
  12. 12.What is the median of 1, 20, 12, 10 and 32? (a) 20 (b) 15 (c) 10 (d) 12
  13. 13.The mean of 5 numbers is 27. When the number 3 is added to them, what is the new mean? (a) 15 (b) 27 (c) 23 (d) 24
  14. 14.What is the mean of 5, 20, 3 and 4? (a) 8 (b) 10 (c) 7 (d) 9
  15. 15.What is the mode of 11, 11, 1, 11, 1, 16 and 15? (a) 16 (b) 1 (c) 15 (d) 11
  16. 16.The mean of 4 numbers is 29. When the number 34 is added to them, what is the new mean? (a) 30 (b) 31 (c) 29 (d) 32
  17. 17.What is the mean of 17, 10, 8, 4 and 6? (a) 10 (b) 9 (c) 11 (d) 8
  18. 18.What is the mode of 11, 1, 15, 20, 1, 20 and 20? (a) 15 (b) 20 (c) 1 (d) 11
  19. 19.The mean of 8 numbers is 40. When the number 67 is added to them, what is the new mean? (a) 40 (b) 44 (c) 43 (d) 42
  20. 20.What is the median of 28, 26, 13, 38, 2, 34 and 11? (a) 28 (b) 38 (c) 13 (d) 26
  21. 21.What is the median of 34, 36, 11, 12, 25, 6 and 28? (a) 26 (b) 25 (c) 12 (d) 28
  22. 22.What is the mode of 8, 20, 8, 17, 19, 20 and 8? (a) 19 (b) 20 (c) 8 (d) 17
  23. 23.What is the mean of 5, 14, 6 and 7? (a) 9 (b) 10 (c) 8 (d) 7
  24. 24.What is the mode of 7, 20, 13, 3, 20, 3 and 20? (a) 13 (b) 3 (c) 7 (d) 20
  25. 25.What is the median of 29, 30, 38, 33, 27, 4 and 2? (a) 27 (b) 29 (c) 30 (d) 33
  26. 26.The mean of 4 numbers is 30. When the number 20 is added to them, what is the new mean? (a) 28 (b) 29 (c) 30 (d) 25
  27. 27.The mean of 8 numbers is 33. When the number 24 is added to them, what is the new mean? (a) 31 (b) 34 (c) 33 (d) 32
  28. 28.What is the mean of 16, 9, 18 and 5? (a) 13 (b) 16 (c) 11 (d) 12
  29. 29.What is the mean of 3, 9, 17, 5 and 16? (a) 10 (b) 12 (c) 11 (d) 9
  30. 30.What is the median of 31, 21, 12, 18 and 33? (a) 31 (b) 21 (c) 12 (d) 23
  31. 31.What is the mode of 16, 8, 4, 9, 16, 9 and 9? (a) 16 (b) 8 (c) 9 (d) 4
  32. 32.The mean of 4 numbers is 34. When the number 39 is added to them, what is the new mean? (a) 37 (b) 36 (c) 34 (d) 35
  33. 33.What is the median of 18, 24, 33, 7, 38, 19 and 30? (a) 19 (b) 30 (c) 24 (d) 7
  34. 34.The mean of 5 numbers is 40. When the number 28 is added to them, what is the new mean? (a) 34 (b) 40 (c) 38 (d) 39
  35. 35.What is the mode of 14, 4, 6, 6, 14, 5 and 14? (a) 4 (b) 6 (c) 5 (d) 14
  36. 36.What is the mode of 1, 1, 11, 3, 6, 1 and 3? (a) 11 (b) 3 (c) 6 (d) 1
  37. 37.The mean of 3 numbers is 30. When the number 34 is added to them, what is the new mean? (a) 32 (b) 31 (c) 33 (d) 30
  38. 38.The mean of 3 numbers is 37. When the number 29 is added to them, what is the new mean? (a) 33 (b) 37 (c) 35 (d) 36
  39. 39.What is the mode of 2, 15, 15, 13, 4, 13 and 15? (a) 4 (b) 13 (c) 2 (d) 15
  40. 40.The mean of 3 numbers is 29. When the number 21 is added to them, what is the new mean? (a) 25 (b) 29 (c) 28 (d) 27

Answer key

  1. 5
  2. 13
  3. 4
  4. 11
  5. 10
  6. 30
  7. 25
  8. 8
  9. 15
  10. 1
  11. 11
  12. 12
  13. 23
  14. 8
  15. 11
  16. 30
  17. 9
  18. 20
  19. 43
  20. 26
  21. 25
  22. 8
  23. 8
  24. 20
  25. 29
  26. 28
  27. 32
  28. 12
  29. 10
  30. 21
  31. 9
  32. 35
  33. 24
  34. 38
  35. 14
  36. 1
  37. 31
  38. 35
  39. 15
  40. 27

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