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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 919 · 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 26, 1, 20, 8 and 6? (a) 20 (b) 6 (c) 9 (d) 8
  2. 2.The mean of 8 numbers is 20. When the number 29 is added to them, what is the new mean? (a) 23 (b) 20 (c) 22 (d) 21
  3. 3.The mean of 5 numbers is 38. When the number 14 is added to them, what is the new mean? (a) 35 (b) 38 (c) 34 (d) 26
  4. 4.What is the mode of 17, 12, 4, 13, 12, 12 and 13? (a) 12 (b) 17 (c) 13 (d) 4
  5. 5.What is the mode of 13, 4, 3, 20, 20, 20 and 4? (a) 13 (b) 20 (c) 4 (d) 3
  6. 6.What is the mode of 3, 16, 20, 3, 20, 3 and 5? (a) 20 (b) 5 (c) 16 (d) 3
  7. 7.What is the median of 22, 23, 21, 17, 3, 24 and 13? (a) 22 (b) 20 (c) 21 (d) 17
  8. 8.The mean of 5 numbers is 18. When the number 24 is added to them, what is the new mean? (a) 19 (b) 21 (c) 20 (d) 18
  9. 9.The mean of 9 numbers is 27. When the number 17 is added to them, what is the new mean? (a) 25 (b) 27 (c) 22 (d) 26
  10. 10.What is the median of 5, 36, 9, 19, 13, 29 and 12? (a) 12 (b) 19 (c) 13 (d) 14
  11. 11.What is the mean of 18, 11, 12, 6 and 8? (a) 11 (b) 12 (c) 13 (d) 10
  12. 12.What is the mode of 14, 4, 8, 15, 15, 15 and 4? (a) 4 (b) 8 (c) 14 (d) 15
  13. 13.What is the mean of 19, 14, 12 and 11? (a) 16 (b) 14 (c) 15 (d) 13
  14. 14.What is the mode of 11, 19, 2, 20, 11, 20 and 11? (a) 20 (b) 2 (c) 11 (d) 19
  15. 15.What is the median of 13, 9, 11, 38, 3, 33 and 6? (a) 38 (b) 9 (c) 13 (d) 11
  16. 16.The mean of 9 numbers is 23. When the number 3 is added to them, what is the new mean? (a) 22 (b) 21 (c) 23 (d) 13
  17. 17.What is the median of 15, 14, 22, 36, 8, 6 and 18? (a) 15 (b) 17 (c) 36 (d) 18
  18. 18.The mean of 8 numbers is 12. When the number 3 is added to them, what is the new mean? (a) 13 (b) 10 (c) 11 (d) 12
  19. 19.The mean of 4 numbers is 40. When the number 45 is added to them, what is the new mean? (a) 40 (b) 43 (c) 41 (d) 42
  20. 20.What is the mean of 6, 17, 9, 2 and 16? (a) 10 (b) 12 (c) 9 (d) 11
  21. 21.What is the median of 26, 31, 25, 40 and 3? (a) 27 (b) 26 (c) 25 (d) 31
  22. 22.What is the mode of 8, 4, 10, 4, 8, 4 and 20? (a) 20 (b) 8 (c) 4 (d) 10
  23. 23.The mean of 6 numbers is 35. When the number 14 is added to them, what is the new mean? (a) 32 (b) 33 (c) 31 (d) 35
  24. 24.What is the median of 20, 2, 17, 21 and 35? (a) 20 (b) 17 (c) 21 (d) 19
  25. 25.What is the mean of 14, 3, 19, 11 and 18? (a) 15 (b) 14 (c) 13 (d) 12
  26. 26.What is the median of 9, 37, 15, 22, 27, 16 and 4? (a) 17 (b) 22 (c) 15 (d) 16
  27. 27.What is the mean of 8, 12, 14, 18 and 8? (a) 10 (b) 12 (c) 15 (d) 13
  28. 28.What is the median of 10, 6, 26, 38, 22, 32 and 30? (a) 38 (b) 30 (c) 26 (d) 22
  29. 29.What is the mode of 13, 8, 17, 10, 8, 17 and 17? (a) 8 (b) 10 (c) 17 (d) 13
  30. 30.What is the mode of 9, 3, 18, 12, 9, 9 and 12? (a) 3 (b) 18 (c) 12 (d) 9
  31. 31.What is the mean of 4, 4, 16 and 8? (a) 9 (b) 7 (c) 10 (d) 8
  32. 32.What is the mean of 2, 8, 10 and 4? (a) 8 (b) 6 (c) 5 (d) 7
  33. 33.What is the mean of 13, 4, 20, 8, 18 and 15? (a) 14 (b) 13 (c) 12 (d) 15
  34. 34.What is the median of 25, 29, 36, 14, 11, 33 and 16? (a) 16 (b) 14 (c) 29 (d) 25
  35. 35.The mean of 4 numbers is 37. When the number 17 is added to them, what is the new mean? (a) 27 (b) 33 (c) 37 (d) 34
  36. 36.What is the median of 3, 39, 15, 13, 17, 11 and 24? (a) 15 (b) 13 (c) 16 (d) 17
  37. 37.What is the mode of 13, 1, 1, 7, 1, 12 and 12? (a) 1 (b) 12 (c) 13 (d) 7
  38. 38.What is the mean of 6, 19, 19 and 4? (a) 16 (b) 13 (c) 11 (d) 12
  39. 39.The mean of 5 numbers is 36. When the number 30 is added to them, what is the new mean? (a) 35 (b) 36 (c) 33 (d) 34
  40. 40.What is the mode of 1, 1, 10, 4, 1, 12 and 4? (a) 12 (b) 1 (c) 10 (d) 4

Answer key

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

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