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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 933 · 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 9, 13, 19, 1, 1, 1 and 13? (a) 13 (b) 19 (c) 9 (d) 1
  2. 2.What is the mode of 18, 6, 6, 18, 7, 6 and 15? (a) 6 (b) 15 (c) 18 (d) 7
  3. 3.What is the median of 18, 19, 37, 13, 16, 38 and 15? (a) 16 (b) 19 (c) 13 (d) 18
  4. 4.What is the mode of 11, 12, 18, 16, 11, 12 and 11? (a) 12 (b) 18 (c) 16 (d) 11
  5. 5.What is the median of 21, 4, 6, 35 and 17? (a) 6 (b) 21 (c) 18 (d) 17
  6. 6.What is the mean of 3, 5, 8 and 12? (a) 7 (b) 6 (c) 8 (d) 9
  7. 7.What is the median of 33, 9, 38, 23, 13, 5 and 21? (a) 22 (b) 21 (c) 23 (d) 13
  8. 8.The mean of 3 numbers is 22. When the number 38 is added to them, what is the new mean? (a) 30 (b) 22 (c) 26 (d) 27
  9. 9.The mean of 3 numbers is 31. When the number 23 is added to them, what is the new mean? (a) 31 (b) 29 (c) 27 (d) 30
  10. 10.What is the median of 28, 15, 18, 22 and 14? (a) 15 (b) 22 (c) 19 (d) 18
  11. 11.The mean of 9 numbers is 18. When the number 38 is added to them, what is the new mean? (a) 18 (b) 20 (c) 21 (d) 28
  12. 12.What is the mean of 8, 16, 8 and 8? (a) 8 (b) 9 (c) 10 (d) 11
  13. 13.What is the median of 5, 34, 9, 13, 39, 10 and 36? (a) 10 (b) 13 (c) 14 (d) 34
  14. 14.The mean of 3 numbers is 23. When the number 27 is added to them, what is the new mean? (a) 23 (b) 24 (c) 26 (d) 25
  15. 15.What is the median of 11, 7, 20, 12 and 6? (a) 12 (b) 11 (c) 20 (d) 7
  16. 16.What is the median of 30, 11, 23, 1, 15, 6 and 38? (a) 23 (b) 15 (c) 11 (d) 1
  17. 17.The mean of 9 numbers is 23. When the number 53 is added to them, what is the new mean? (a) 38 (b) 23 (c) 27 (d) 26
  18. 18.What is the median of 22, 28, 1, 31, 26, 12 and 3? (a) 22 (b) 12 (c) 31 (d) 26
  19. 19.The mean of 8 numbers is 16. When the number 43 is added to them, what is the new mean? (a) 19 (b) 20 (c) 18 (d) 16
  20. 20.What is the mean of 6, 5, 13, 8 and 13? (a) 11 (b) 8 (c) 10 (d) 9
  21. 21.What is the mean of 4, 6, 12, 16, 5 and 11? (a) 10 (b) 9 (c) 11 (d) 8
  22. 22.What is the mode of 17, 5, 15, 15, 15, 6 and 6? (a) 15 (b) 6 (c) 5 (d) 17
  23. 23.What is the mean of 5, 13, 14 and 20? (a) 12 (b) 15 (c) 14 (d) 13
  24. 24.The mean of 3 numbers is 32. When the number 48 is added to them, what is the new mean? (a) 37 (b) 32 (c) 40 (d) 36
  25. 25.What is the mean of 18, 19, 12 and 15? (a) 16 (b) 17 (c) 18 (d) 15
  26. 26.What is the mean of 9, 19, 10 and 2? (a) 8 (b) 9 (c) 10 (d) 11
  27. 27.What is the median of 6, 38, 11, 26 and 24? (a) 11 (b) 26 (c) 24 (d) 21
  28. 28.The mean of 7 numbers is 24. When the number 16 is added to them, what is the new mean? (a) 20 (b) 22 (c) 23 (d) 24
  29. 29.The mean of 8 numbers is 39. When the number 12 is added to them, what is the new mean? (a) 35 (b) 39 (c) 37 (d) 36
  30. 30.What is the mean of 19, 3, 13, 5, 5 and 15? (a) 11 (b) 9 (c) 12 (d) 10
  31. 31.What is the mean of 14, 3, 19 and 20? (a) 14 (b) 13 (c) 16 (d) 15
  32. 32.What is the median of 6, 22, 4, 28 and 40? (a) 22 (b) 20 (c) 28 (d) 4
  33. 33.What is the mean of 4, 4, 19, 11 and 12? (a) 9 (b) 12 (c) 10 (d) 11
  34. 34.What is the mean of 20, 13, 3 and 12? (a) 13 (b) 12 (c) 16 (d) 11
  35. 35.The mean of 8 numbers is 22. When the number 4 is added to them, what is the new mean? (a) 22 (b) 21 (c) 20 (d) 13
  36. 36.What is the mean of 9, 18, 11, 3 and 9? (a) 12 (b) 9 (c) 10 (d) 11
  37. 37.What is the mean of 17, 10, 10 and 11? (a) 13 (b) 11 (c) 16 (d) 12
  38. 38.What is the mode of 18, 1, 5, 18, 1, 1 and 12? (a) 18 (b) 12 (c) 5 (d) 1
  39. 39.What is the median of 32, 30, 34, 6 and 7? (a) 32 (b) 30 (c) 7 (d) 34
  40. 40.The mean of 9 numbers is 15. When the number 35 is added to them, what is the new mean? (a) 18 (b) 25 (c) 15 (d) 17

Answer key

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

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