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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 938 · 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 8 numbers is 38. When the number 74 is added to them, what is the new mean? (a) 56 (b) 43 (c) 38 (d) 42
  2. 2.What is the median of 31, 1, 17, 6, 12, 14 and 4? (a) 14 (b) 6 (c) 12 (d) 13
  3. 3.What is the mode of 9, 10, 12, 12, 9, 12 and 6? (a) 9 (b) 6 (c) 10 (d) 12
  4. 4.What is the mean of 15, 12, 6, 20 and 12? (a) 14 (b) 15 (c) 12 (d) 13
  5. 5.What is the mean of 4, 20, 4, 11, 7 and 8? (a) 10 (b) 8 (c) 11 (d) 9
  6. 6.What is the median of 2, 37, 17, 38, 12, 40 and 13? (a) 13 (b) 38 (c) 37 (d) 17
  7. 7.What is the mode of 7, 6, 7, 7, 12, 6 and 8? (a) 6 (b) 8 (c) 7 (d) 12
  8. 8.What is the median of 9, 12, 4, 28, 23, 1 and 38? (a) 9 (b) 12 (c) 23 (d) 28
  9. 9.The mean of 4 numbers is 11. When the number 16 is added to them, what is the new mean? (a) 13 (b) 12 (c) 14 (d) 11
  10. 10.What is the mode of 3, 3, 4, 19, 19, 3 and 1? (a) 19 (b) 4 (c) 3 (d) 1
  11. 11.What is the mode of 4, 2, 2, 18, 2, 17 and 4? (a) 4 (b) 17 (c) 18 (d) 2
  12. 12.What is the mode of 20, 1, 20, 1, 1, 2 and 4? (a) 20 (b) 2 (c) 4 (d) 1
  13. 13.What is the mean of 16, 5, 2 and 9? (a) 7 (b) 9 (c) 10 (d) 8
  14. 14.The mean of 5 numbers is 15. When the number 3 is added to them, what is the new mean? (a) 14 (b) 9 (c) 13 (d) 15
  15. 15.The mean of 8 numbers is 29. When the number 11 is added to them, what is the new mean? (a) 28 (b) 27 (c) 20 (d) 29
  16. 16.The mean of 7 numbers is 33. When the number 49 is added to them, what is the new mean? (a) 41 (b) 36 (c) 33 (d) 35
  17. 17.What is the median of 18, 26, 8, 13, 14, 36 and 6? (a) 18 (b) 13 (c) 15 (d) 14
  18. 18.What is the mean of 20, 6, 12 and 18? (a) 16 (b) 15 (c) 13 (d) 14
  19. 19.What is the mean of 16, 8, 4, 6, 15 and 17? (a) 12 (b) 11 (c) 10 (d) 13
  20. 20.What is the mode of 12, 9, 7, 12, 6, 9 and 12? (a) 6 (b) 9 (c) 12 (d) 7
  21. 21.What is the median of 4, 15, 2, 14 and 36? (a) 2 (b) 14 (c) 4 (d) 15
  22. 22.The mean of 4 numbers is 13. When the number 8 is added to them, what is the new mean? (a) 13 (b) 12 (c) 14 (d) 11
  23. 23.What is the mode of 20, 16, 5, 16, 6, 5 and 16? (a) 16 (b) 6 (c) 20 (d) 5
  24. 24.What is the mode of 3, 20, 20, 5, 3, 3 and 2? (a) 2 (b) 5 (c) 20 (d) 3
  25. 25.What is the mode of 11, 7, 7, 20, 11, 12 and 7? (a) 12 (b) 20 (c) 7 (d) 11
  26. 26.What is the mode of 19, 19, 19, 8, 1, 8 and 5? (a) 1 (b) 19 (c) 5 (d) 8
  27. 27.The mean of 9 numbers is 38. When the number 48 is added to them, what is the new mean? (a) 43 (b) 39 (c) 38 (d) 40
  28. 28.The mean of 4 numbers is 26. When the number 11 is added to them, what is the new mean? (a) 22 (b) 24 (c) 23 (d) 26
  29. 29.What is the mean of 12, 8, 13 and 15? (a) 13 (b) 16 (c) 12 (d) 11
  30. 30.The mean of 8 numbers is 16. When the number 7 is added to them, what is the new mean? (a) 15 (b) 16 (c) 17 (d) 14
  31. 31.What is the median of 12, 8, 15, 25, 36, 22 and 38? (a) 25 (b) 15 (c) 23 (d) 22
  32. 32.What is the mean of 5, 20, 15, 5, 17 and 22? (a) 15 (b) 14 (c) 13 (d) 12
  33. 33.What is the mean of 4, 6, 15 and 3? (a) 9 (b) 7 (c) 6 (d) 8
  34. 34.What is the mode of 5, 6, 6, 2, 15, 5 and 6? (a) 2 (b) 6 (c) 5 (d) 15
  35. 35.What is the mode of 2, 2, 14, 14, 9, 2 and 8? (a) 14 (b) 9 (c) 8 (d) 2
  36. 36.What is the mode of 16, 1, 1, 8, 1, 15 and 15? (a) 15 (b) 8 (c) 16 (d) 1
  37. 37.What is the mode of 13, 13, 20, 13, 20, 1 and 12? (a) 1 (b) 12 (c) 13 (d) 20
  38. 38.The mean of 4 numbers is 31. When the number 51 is added to them, what is the new mean? (a) 36 (b) 35 (c) 41 (d) 31
  39. 39.What is the median of 40, 6, 3, 36, 13, 20 and 34? (a) 20 (b) 13 (c) 34 (d) 36
  40. 40.What is the mean of 6, 3, 10, 6 and 10? (a) 6 (b) 9 (c) 8 (d) 7

Answer key

  1. 42
  2. 12
  3. 12
  4. 13
  5. 9
  6. 17
  7. 7
  8. 12
  9. 12
  10. 3
  11. 2
  12. 1
  13. 8
  14. 13
  15. 27
  16. 35
  17. 14
  18. 14
  19. 11
  20. 12
  21. 14
  22. 12
  23. 16
  24. 3
  25. 7
  26. 19
  27. 39
  28. 23
  29. 12
  30. 15
  31. 22
  32. 14
  33. 7
  34. 6
  35. 2
  36. 1
  37. 13
  38. 35
  39. 20
  40. 7

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