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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 781 · 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 5, 11, 6, 34 and 23? (a) 23 (b) 6 (c) 12 (d) 11
  2. 2.What is the mean of 19, 8, 19, 11, 20 and 7? (a) 12 (b) 14 (c) 13 (d) 15
  3. 3.What is the mode of 1, 16, 18, 1, 18, 3 and 1? (a) 3 (b) 1 (c) 18 (d) 16
  4. 4.What is the mode of 3, 6, 6, 8, 8, 6 and 14? (a) 8 (b) 14 (c) 6 (d) 3
  5. 5.What is the mode of 7, 7, 4, 4, 1, 5 and 4? (a) 5 (b) 7 (c) 1 (d) 4
  6. 6.What is the median of 10, 1, 7, 14, 6, 11 and 3? (a) 10 (b) 7 (c) 14 (d) 6
  7. 7.The mean of 4 numbers is 30. When the number 45 is added to them, what is the new mean? (a) 30 (b) 32 (c) 34 (d) 33
  8. 8.What is the mean of 4, 17, 3 and 16? (a) 9 (b) 11 (c) 10 (d) 8
  9. 9.What is the mean of 2, 10, 15, 15, 16 and 20? (a) 14 (b) 12 (c) 15 (d) 13
  10. 10.What is the mean of 4, 11, 12 and 9? (a) 12 (b) 9 (c) 10 (d) 8
  11. 11.What is the mode of 4, 11, 9, 7, 11, 11 and 7? (a) 7 (b) 11 (c) 4 (d) 9
  12. 12.The mean of 8 numbers is 22. When the number 31 is added to them, what is the new mean? (a) 25 (b) 23 (c) 22 (d) 24
  13. 13.The mean of 4 numbers is 28. When the number 48 is added to them, what is the new mean? (a) 38 (b) 32 (c) 28 (d) 33
  14. 14.What is the median of 10, 35, 9, 20 and 1? (a) 10 (b) 15 (c) 9 (d) 20
  15. 15.The mean of 4 numbers is 27. When the number 12 is added to them, what is the new mean? (a) 25 (b) 27 (c) 24 (d) 23
  16. 16.The mean of 4 numbers is 14. When the number 4 is added to them, what is the new mean? (a) 13 (b) 12 (c) 9 (d) 14
  17. 17.The mean of 4 numbers is 29. When the number 9 is added to them, what is the new mean? (a) 29 (b) 19 (c) 25 (d) 26
  18. 18.The mean of 6 numbers is 36. When the number 22 is added to them, what is the new mean? (a) 29 (b) 36 (c) 35 (d) 34
  19. 19.What is the mode of 1, 12, 9, 6, 9, 1 and 1? (a) 12 (b) 9 (c) 1 (d) 6
  20. 20.What is the mode of 16, 7, 6, 6, 16, 16 and 5? (a) 7 (b) 6 (c) 5 (d) 16
  21. 21.What is the median of 20, 36, 11, 30 and 29? (a) 11 (b) 20 (c) 30 (d) 29
  22. 22.What is the mode of 10, 2, 16, 16, 16, 5 and 10? (a) 16 (b) 5 (c) 2 (d) 10
  23. 23.What is the mean of 4, 11, 4 and 5? (a) 8 (b) 5 (c) 7 (d) 6
  24. 24.What is the mode of 12, 6, 12, 6, 2, 16 and 12? (a) 2 (b) 6 (c) 12 (d) 16
  25. 25.What is the median of 2, 31, 20, 15, 9, 18 and 26? (a) 15 (b) 19 (c) 18 (d) 20
  26. 26.What is the mean of 20, 14, 19, 5, 10 and 10? (a) 14 (b) 15 (c) 13 (d) 12
  27. 27.The mean of 9 numbers is 35. When the number 45 is added to them, what is the new mean? (a) 40 (b) 35 (c) 37 (d) 36
  28. 28.What is the median of 7, 9, 32, 13 and 11? (a) 9 (b) 11 (c) 13 (d) 32
  29. 29.The mean of 3 numbers is 37. When the number 41 is added to them, what is the new mean? (a) 39 (b) 37 (c) 38 (d) 40
  30. 30.What is the mode of 5, 1, 1, 4, 2, 5 and 1? (a) 2 (b) 4 (c) 1 (d) 5
  31. 31.What is the mode of 15, 16, 15, 10, 5, 15 and 16? (a) 10 (b) 15 (c) 5 (d) 16
  32. 32.What is the median of 3, 2, 13, 26 and 19? (a) 19 (b) 3 (c) 14 (d) 13
  33. 33.The mean of 9 numbers is 11. When the number 41 is added to them, what is the new mean? (a) 15 (b) 14 (c) 26 (d) 11
  34. 34.What is the mode of 19, 14, 18, 14, 16, 14 and 18? (a) 19 (b) 16 (c) 18 (d) 14
  35. 35.What is the mean of 10, 13, 4, 16 and 22? (a) 13 (b) 12 (c) 14 (d) 15
  36. 36.What is the mode of 5, 10, 2, 3, 3, 2 and 2? (a) 5 (b) 2 (c) 3 (d) 10
  37. 37.What is the median of 6, 8, 9, 3, 20, 39 and 13? (a) 14 (b) 13 (c) 3 (d) 9
  38. 38.What is the mode of 17, 16, 17, 16, 16, 14 and 20? (a) 20 (b) 14 (c) 16 (d) 17
  39. 39.What is the mean of 12, 15, 20 and 17? (a) 17 (b) 15 (c) 18 (d) 16
  40. 40.What is the median of 5, 26, 15, 14 and 12? (a) 13 (b) 12 (c) 15 (d) 14

Answer key

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

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