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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 958 · 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 mean of 8, 2, 11, 20, 6 and 7? (a) 9 (b) 11 (c) 8 (d) 10
  2. 2.What is the mode of 4, 18, 4, 12, 18, 4 and 6? (a) 18 (b) 6 (c) 12 (d) 4
  3. 3.What is the mode of 14, 10, 10, 1, 18, 18 and 10? (a) 10 (b) 1 (c) 14 (d) 18
  4. 4.The mean of 6 numbers is 37. When the number 23 is added to them, what is the new mean? (a) 36 (b) 37 (c) 35 (d) 30
  5. 5.What is the median of 18, 34, 21, 23 and 15? (a) 22 (b) 21 (c) 23 (d) 18
  6. 6.The mean of 4 numbers is 29. When the number 14 is added to them, what is the new mean? (a) 27 (b) 26 (c) 25 (d) 29
  7. 7.What is the mode of 3, 3, 15, 20, 3, 8 and 20? (a) 15 (b) 20 (c) 8 (d) 3
  8. 8.What is the mean of 10, 6, 14, 4 and 16? (a) 12 (b) 10 (c) 9 (d) 11
  9. 9.What is the mean of 7, 16, 16, 6 and 15? (a) 15 (b) 12 (c) 10 (d) 13
  10. 10.The mean of 9 numbers is 14. When the number 44 is added to them, what is the new mean? (a) 18 (b) 14 (c) 17 (d) 29
  11. 11.What is the mean of 18, 18, 7, 6 and 16? (a) 14 (b) 12 (c) 15 (d) 13
  12. 12.The mean of 4 numbers is 39. When the number 44 is added to them, what is the new mean? (a) 39 (b) 41 (c) 40 (d) 42
  13. 13.What is the mean of 18, 9, 15, 14, 8 and 2? (a) 12 (b) 10 (c) 13 (d) 11
  14. 14.What is the mode of 5, 5, 16, 16, 8, 6 and 16? (a) 6 (b) 8 (c) 16 (d) 5
  15. 15.The mean of 5 numbers is 30. When the number 24 is added to them, what is the new mean? (a) 27 (b) 30 (c) 29 (d) 28
  16. 16.What is the median of 13, 33, 15, 28, 24, 11 and 1? (a) 13 (b) 24 (c) 15 (d) 28
  17. 17.The mean of 6 numbers is 37. When the number 58 is added to them, what is the new mean? (a) 39 (b) 40 (c) 41 (d) 37
  18. 18.What is the mean of 9, 8, 7, 6 and 5? (a) 6 (b) 9 (c) 7 (d) 8
  19. 19.What is the mode of 3, 7, 3, 11, 7, 15 and 7? (a) 3 (b) 7 (c) 11 (d) 15
  20. 20.What is the mode of 15, 7, 3, 19, 7, 19 and 19? (a) 7 (b) 3 (c) 19 (d) 15
  21. 21.The mean of 8 numbers is 36. When the number 63 is added to them, what is the new mean? (a) 36 (b) 39 (c) 40 (d) 38
  22. 22.What is the mode of 17, 5, 19, 1, 5, 19 and 19? (a) 5 (b) 17 (c) 19 (d) 1
  23. 23.The mean of 7 numbers is 17. When the number 25 is added to them, what is the new mean? (a) 21 (b) 18 (c) 17 (d) 19
  24. 24.The mean of 9 numbers is 10. When the number 30 is added to them, what is the new mean? (a) 10 (b) 12 (c) 20 (d) 13
  25. 25.What is the mode of 4, 4, 16, 1, 16, 4 and 19? (a) 4 (b) 1 (c) 19 (d) 16
  26. 26.What is the mode of 14, 16, 17, 16, 7, 14 and 16? (a) 17 (b) 14 (c) 7 (d) 16
  27. 27.The mean of 4 numbers is 23. When the number 18 is added to them, what is the new mean? (a) 23 (b) 24 (c) 21 (d) 22
  28. 28.What is the median of 3, 29, 6, 23, 2, 9 and 27? (a) 6 (b) 23 (c) 10 (d) 9
  29. 29.The mean of 3 numbers is 24. When the number 12 is added to them, what is the new mean? (a) 24 (b) 21 (c) 18 (d) 22
  30. 30.What is the median of 19, 28, 15, 12 and 35? (a) 28 (b) 15 (c) 20 (d) 19
  31. 31.What is the mode of 10, 6, 6, 6, 17, 10 and 4? (a) 4 (b) 6 (c) 17 (d) 10
  32. 32.What is the mean of 17, 6, 14, 4, 16 and 3? (a) 11 (b) 12 (c) 10 (d) 9
  33. 33.The mean of 4 numbers is 12. When the number 32 is added to them, what is the new mean? (a) 17 (b) 16 (c) 12 (d) 22
  34. 34.What is the median of 25, 27, 3, 33 and 4? (a) 25 (b) 27 (c) 3 (d) 4
  35. 35.What is the mode of 14, 6, 6, 19, 18, 19 and 19? (a) 14 (b) 18 (c) 6 (d) 19
  36. 36.The mean of 9 numbers is 15. When the number 25 is added to them, what is the new mean? (a) 15 (b) 16 (c) 20 (d) 17
  37. 37.What is the mean of 7, 11, 16 and 14? (a) 13 (b) 12 (c) 16 (d) 11
  38. 38.What is the mean of 7, 9, 14 and 14? (a) 13 (b) 11 (c) 12 (d) 10
  39. 39.The mean of 3 numbers is 28. When the number 32 is added to them, what is the new mean? (a) 30 (b) 28 (c) 29 (d) 31
  40. 40.What is the mean of 16, 12, 4, 10, 7 and 17? (a) 10 (b) 11 (c) 13 (d) 12

Answer key

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

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