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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 983 · 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 5, 10, 3 and 10? (a) 9 (b) 8 (c) 6 (d) 7
  2. 2.What is the mode of 7, 6, 18, 7, 15, 15 and 7? (a) 15 (b) 6 (c) 18 (d) 7
  3. 3.The mean of 7 numbers is 32. When the number 8 is added to them, what is the new mean? (a) 20 (b) 29 (c) 30 (d) 32
  4. 4.What is the median of 11, 8, 30, 10, 34, 7 and 21? (a) 10 (b) 12 (c) 11 (d) 21
  5. 5.What is the mode of 12, 11, 16, 19, 19, 19 and 12? (a) 19 (b) 11 (c) 12 (d) 16
  6. 6.What is the median of 11, 18, 4, 20, 31, 40 and 27? (a) 20 (b) 27 (c) 21 (d) 18
  7. 7.What is the median of 18, 29, 25, 11 and 2? (a) 18 (b) 25 (c) 11 (d) 17
  8. 8.The mean of 6 numbers is 15. When the number 36 is added to them, what is the new mean? (a) 18 (b) 17 (c) 19 (d) 15
  9. 9.The mean of 4 numbers is 15. When the number 5 is added to them, what is the new mean? (a) 14 (b) 10 (c) 13 (d) 15
  10. 10.What is the mean of 13, 5, 9, 15, 6 and 12? (a) 12 (b) 9 (c) 11 (d) 10
  11. 11.The mean of 5 numbers is 31. When the number 37 is added to them, what is the new mean? (a) 32 (b) 33 (c) 31 (d) 34
  12. 12.What is the mode of 15, 1, 10, 1, 5, 1 and 10? (a) 15 (b) 10 (c) 1 (d) 5
  13. 13.What is the median of 36, 1, 28, 20 and 25? (a) 28 (b) 25 (c) 22 (d) 20
  14. 14.The mean of 9 numbers is 15. When the number 45 is added to them, what is the new mean? (a) 30 (b) 19 (c) 18 (d) 15
  15. 15.What is the mode of 5, 15, 1, 17, 1, 5 and 5? (a) 5 (b) 15 (c) 1 (d) 17
  16. 16.What is the median of 25, 23, 18, 32 and 31? (a) 31 (b) 23 (c) 25 (d) 18
  17. 17.What is the mode of 6, 19, 4, 4, 19, 2 and 4? (a) 6 (b) 4 (c) 19 (d) 2
  18. 18.What is the mean of 10, 16, 19, 19, 11 and 9? (a) 14 (b) 13 (c) 12 (d) 15
  19. 19.What is the mean of 7, 17, 10, 7 and 9? (a) 12 (b) 11 (c) 10 (d) 9
  20. 20.What is the median of 25, 22, 9, 11, 14, 30 and 6? (a) 11 (b) 14 (c) 15 (d) 22
  21. 21.The mean of 8 numbers is 32. When the number 41 is added to them, what is the new mean? (a) 35 (b) 34 (c) 32 (d) 33
  22. 22.The mean of 8 numbers is 31. When the number 49 is added to them, what is the new mean? (a) 34 (b) 40 (c) 33 (d) 31
  23. 23.What is the mean of 8, 6, 13, 2, 8 and 17? (a) 9 (b) 11 (c) 10 (d) 8
  24. 24.What is the mode of 4, 17, 3, 3, 4, 3 and 13? (a) 4 (b) 3 (c) 17 (d) 13
  25. 25.What is the mode of 19, 1, 1, 17, 1, 19 and 13? (a) 13 (b) 1 (c) 17 (d) 19
  26. 26.The mean of 5 numbers is 27. When the number 21 is added to them, what is the new mean? (a) 25 (b) 24 (c) 26 (d) 27
  27. 27.The mean of 6 numbers is 37. When the number 23 is added to them, what is the new mean? (a) 35 (b) 30 (c) 36 (d) 37
  28. 28.The mean of 4 numbers is 12. When the number 17 is added to them, what is the new mean? (a) 15 (b) 13 (c) 12 (d) 14
  29. 29.What is the median of 31, 7, 30, 13, 9, 32 and 36? (a) 29 (b) 13 (c) 30 (d) 31
  30. 30.What is the mode of 16, 4, 16, 18, 19, 16 and 18? (a) 4 (b) 19 (c) 16 (d) 18
  31. 31.The mean of 3 numbers is 39. When the number 47 is added to them, what is the new mean? (a) 39 (b) 41 (c) 42 (d) 43
  32. 32.What is the mean of 15, 10, 15, 4, 14 and 8? (a) 13 (b) 10 (c) 12 (d) 11
  33. 33.What is the median of 27, 21, 7, 10, 40, 8 and 1? (a) 11 (b) 10 (c) 21 (d) 8
  34. 34.What is the median of 38, 1, 9, 19 and 13? (a) 9 (b) 16 (c) 19 (d) 13
  35. 35.What is the mean of 19, 5, 12 and 8? (a) 11 (b) 10 (c) 13 (d) 12
  36. 36.What is the median of 33, 31, 1, 22, 34, 24 and 26? (a) 31 (b) 26 (c) 24 (d) 22
  37. 37.The mean of 7 numbers is 28. When the number 12 is added to them, what is the new mean? (a) 28 (b) 26 (c) 27 (d) 20
  38. 38.What is the mean of 6, 4, 18, 11, 19 and 20? (a) 14 (b) 12 (c) 13 (d) 15
  39. 39.The mean of 9 numbers is 39. When the number 9 is added to them, what is the new mean? (a) 36 (b) 39 (c) 24 (d) 37
  40. 40.What is the mode of 6, 11, 11, 16, 11, 12 and 6? (a) 12 (b) 16 (c) 6 (d) 11

Answer key

  1. 7
  2. 7
  3. 29
  4. 11
  5. 19
  6. 20
  7. 18
  8. 18
  9. 13
  10. 10
  11. 32
  12. 1
  13. 25
  14. 18
  15. 5
  16. 25
  17. 4
  18. 14
  19. 10
  20. 14
  21. 33
  22. 33
  23. 9
  24. 3
  25. 1
  26. 26
  27. 35
  28. 13
  29. 30
  30. 16
  31. 41
  32. 11
  33. 10
  34. 13
  35. 11
  36. 26
  37. 26
  38. 13
  39. 36
  40. 11

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