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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 989 · 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 27, 35, 14, 22 and 30? (a) 22 (b) 14 (c) 30 (d) 27
  2. 2.What is the median of 35, 8, 10, 18 and 5? (a) 11 (b) 8 (c) 10 (d) 18
  3. 3.What is the mean of 12, 16, 6, 19 and 12? (a) 15 (b) 14 (c) 13 (d) 12
  4. 4.What is the median of 40, 11, 17, 35 and 19? (a) 19 (b) 20 (c) 35 (d) 17
  5. 5.What is the mode of 14, 15, 14, 1, 1, 14 and 7? (a) 15 (b) 7 (c) 14 (d) 1
  6. 6.What is the mode of 6, 18, 6, 6, 7, 18 and 19? (a) 7 (b) 6 (c) 19 (d) 18
  7. 7.The mean of 3 numbers is 13. When the number 21 is added to them, what is the new mean? (a) 17 (b) 15 (c) 13 (d) 16
  8. 8.What is the mode of 19, 19, 20, 16, 8, 16 and 16? (a) 19 (b) 16 (c) 20 (d) 8
  9. 9.What is the mean of 2, 3, 19, 7, 10 and 7? (a) 8 (b) 9 (c) 10 (d) 7
  10. 10.The mean of 5 numbers is 17. When the number 5 is added to them, what is the new mean? (a) 17 (b) 15 (c) 16 (d) 11
  11. 11.The mean of 3 numbers is 33. When the number 25 is added to them, what is the new mean? (a) 31 (b) 32 (c) 29 (d) 33
  12. 12.The mean of 3 numbers is 25. When the number 13 is added to them, what is the new mean? (a) 19 (b) 23 (c) 25 (d) 22
  13. 13.What is the median of 31, 23, 28, 2 and 13? (a) 24 (b) 28 (c) 23 (d) 13
  14. 14.What is the median of 19, 18, 34, 8 and 22? (a) 22 (b) 19 (c) 18 (d) 34
  15. 15.What is the mean of 9, 4, 8 and 19? (a) 9 (b) 8 (c) 10 (d) 11
  16. 16.What is the median of 13, 35, 12, 8 and 23? (a) 13 (b) 23 (c) 14 (d) 12
  17. 17.What is the median of 33, 34, 31, 10 and 36? (a) 31 (b) 34 (c) 32 (d) 33
  18. 18.The mean of 6 numbers is 22. When the number 29 is added to them, what is the new mean? (a) 24 (b) 22 (c) 23 (d) 25
  19. 19.What is the median of 38, 23, 37, 31 and 7? (a) 31 (b) 32 (c) 37 (d) 23
  20. 20.What is the median of 21, 8, 5, 17 and 12? (a) 5 (b) 17 (c) 12 (d) 8
  21. 21.What is the mean of 8, 8, 8, 20, 5 and 11? (a) 11 (b) 10 (c) 12 (d) 9
  22. 22.What is the mode of 5, 17, 13, 5, 13, 2 and 5? (a) 17 (b) 13 (c) 5 (d) 2
  23. 23.What is the mode of 2, 5, 5, 17, 17, 10 and 17? (a) 2 (b) 10 (c) 5 (d) 17
  24. 24.What is the mean of 2, 2, 16 and 4? (a) 7 (b) 5 (c) 8 (d) 6
  25. 25.What is the mean of 20, 9, 5, 12 and 4? (a) 11 (b) 12 (c) 10 (d) 9
  26. 26.What is the mean of 9, 12, 19 and 4? (a) 10 (b) 12 (c) 11 (d) 13
  27. 27.What is the mode of 6, 6, 20, 14, 6, 15 and 20? (a) 6 (b) 20 (c) 15 (d) 14
  28. 28.What is the mode of 11, 8, 5, 11, 5, 11 and 10? (a) 11 (b) 5 (c) 8 (d) 10
  29. 29.What is the mean of 14, 10, 15 and 17? (a) 16 (b) 14 (c) 13 (d) 15
  30. 30.What is the mean of 16, 9, 14 and 9? (a) 12 (b) 11 (c) 16 (d) 13
  31. 31.What is the mode of 20, 16, 16, 16, 3, 12 and 20? (a) 12 (b) 3 (c) 16 (d) 20
  32. 32.What is the median of 15, 35, 22, 8, 19, 40 and 18? (a) 22 (b) 8 (c) 19 (d) 18
  33. 33.What is the mode of 9, 16, 7, 7, 16, 4 and 16? (a) 9 (b) 16 (c) 7 (d) 4
  34. 34.What is the median of 14, 34, 21, 5 and 24? (a) 24 (b) 14 (c) 21 (d) 22
  35. 35.What is the mode of 4, 2, 4, 14, 14, 4 and 7? (a) 14 (b) 7 (c) 2 (d) 4
  36. 36.What is the mode of 10, 4, 10, 11, 4, 10 and 7? (a) 11 (b) 10 (c) 7 (d) 4
  37. 37.The mean of 7 numbers is 22. When the number 46 is added to them, what is the new mean? (a) 25 (b) 22 (c) 26 (d) 34
  38. 38.What is the mode of 7, 4, 4, 3, 14, 4 and 3? (a) 4 (b) 7 (c) 3 (d) 14
  39. 39.The mean of 7 numbers is 30. When the number 54 is added to them, what is the new mean? (a) 30 (b) 33 (c) 34 (d) 42
  40. 40.What is the mean of 7, 11, 9, 13 and 20? (a) 12 (b) 15 (c) 13 (d) 10

Answer key

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

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