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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 943 · 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 median of 25, 35, 2, 37, 4, 16 and 33? (a) 16 (b) 37 (c) 33 (d) 25
  2. 2.What is the median of 30, 13, 28, 35, 14, 25 and 10? (a) 14 (b) 25 (c) 28 (d) 35
  3. 3.The mean of 6 numbers is 11. When the number 4 is added to them, what is the new mean? (a) 9 (b) 11 (c) 12 (d) 10
  4. 4.What is the mean of 9, 16, 15, 17, 13 and 20? (a) 18 (b) 15 (c) 16 (d) 14
  5. 5.What is the mean of 4, 17, 2, 5, 6 and 20? (a) 10 (b) 8 (c) 9 (d) 11
  6. 6.What is the mean of 9, 16, 10, 18 and 7? (a) 15 (b) 13 (c) 12 (d) 10
  7. 7.What is the mean of 3, 2, 11 and 20? (a) 12 (b) 10 (c) 9 (d) 8
  8. 8.The mean of 9 numbers is 19. When the number 9 is added to them, what is the new mean? (a) 14 (b) 18 (c) 19 (d) 17
  9. 9.What is the mean of 15, 10, 10 and 13? (a) 11 (b) 12 (c) 13 (d) 16
  10. 10.What is the mode of 17, 12, 17, 12, 13, 18 and 17? (a) 12 (b) 13 (c) 18 (d) 17
  11. 11.What is the mean of 13, 14, 11 and 10? (a) 16 (b) 12 (c) 13 (d) 11
  12. 12.What is the median of 23, 3, 11, 13 and 15? (a) 11 (b) 15 (c) 13 (d) 14
  13. 13.What is the mean of 3, 9, 15, 9 and 19? (a) 10 (b) 13 (c) 11 (d) 12
  14. 14.What is the mode of 1, 9, 7, 1, 1, 9 and 14? (a) 7 (b) 9 (c) 14 (d) 1
  15. 15.The mean of 4 numbers is 27. When the number 37 is added to them, what is the new mean? (a) 27 (b) 29 (c) 32 (d) 30
  16. 16.What is the median of 14, 36, 1, 22, 32, 20 and 15? (a) 15 (b) 21 (c) 22 (d) 20
  17. 17.What is the mean of 3, 18, 12 and 23? (a) 16 (b) 14 (c) 13 (d) 15
  18. 18.What is the median of 34, 28, 18, 6, 17, 12 and 27? (a) 17 (b) 27 (c) 6 (d) 18
  19. 19.What is the mode of 5, 5, 9, 8, 9, 11 and 5? (a) 8 (b) 5 (c) 11 (d) 9
  20. 20.What is the mean of 15, 3, 18, 17 and 17? (a) 13 (b) 16 (c) 14 (d) 15
  21. 21.What is the mean of 4, 13, 16, 16 and 16? (a) 13 (b) 15 (c) 14 (d) 12
  22. 22.What is the median of 6, 37, 36, 13 and 29? (a) 29 (b) 13 (c) 36 (d) 30
  23. 23.What is the mode of 4, 4, 4, 20, 20, 17 and 13? (a) 20 (b) 13 (c) 4 (d) 17
  24. 24.What is the median of 10, 9, 6, 15, 31, 27 and 3? (a) 15 (b) 11 (c) 9 (d) 10
  25. 25.What is the mode of 2, 6, 2, 6, 9, 15 and 2? (a) 6 (b) 2 (c) 9 (d) 15
  26. 26.What is the mean of 4, 14, 19 and 15? (a) 14 (b) 12 (c) 15 (d) 13
  27. 27.The mean of 8 numbers is 35. When the number 26 is added to them, what is the new mean? (a) 35 (b) 36 (c) 33 (d) 34
  28. 28.The mean of 7 numbers is 16. When the number 32 is added to them, what is the new mean? (a) 16 (b) 24 (c) 18 (d) 19
  29. 29.The mean of 4 numbers is 29. When the number 24 is added to them, what is the new mean? (a) 29 (b) 30 (c) 28 (d) 27
  30. 30.The mean of 5 numbers is 21. When the number 45 is added to them, what is the new mean? (a) 26 (b) 25 (c) 33 (d) 21
  31. 31.The mean of 3 numbers is 40. When the number 36 is added to them, what is the new mean? (a) 38 (b) 40 (c) 39 (d) 41
  32. 32.The mean of 5 numbers is 38. When the number 26 is added to them, what is the new mean? (a) 32 (b) 37 (c) 36 (d) 38
  33. 33.The mean of 9 numbers is 16. When the number 26 is added to them, what is the new mean? (a) 16 (b) 17 (c) 18 (d) 21
  34. 34.The mean of 9 numbers is 32. When the number 22 is added to them, what is the new mean? (a) 30 (b) 32 (c) 27 (d) 31
  35. 35.What is the mode of 19, 8, 13, 12, 8, 19 and 8? (a) 8 (b) 19 (c) 12 (d) 13
  36. 36.What is the median of 10, 38, 7, 12, 37, 1 and 22? (a) 13 (b) 10 (c) 12 (d) 22
  37. 37.What is the mode of 19, 18, 20, 18, 20, 18 and 10? (a) 18 (b) 10 (c) 19 (d) 20
  38. 38.The mean of 4 numbers is 13. When the number 8 is added to them, what is the new mean? (a) 13 (b) 11 (c) 14 (d) 12
  39. 39.What is the median of 37, 20, 8, 1, 35, 15 and 14? (a) 1 (b) 14 (c) 20 (d) 15
  40. 40.What is the median of 8, 17, 31, 5, 29, 7 and 15? (a) 15 (b) 16 (c) 17 (d) 5

Answer key

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

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