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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 414 · 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 29, 1, 19, 30, 36, 18 and 32? (a) 19 (b) 29 (c) 30 (d) 28
  2. 2.What is the mode of 2, 9, 9, 17, 8, 9 and 2? (a) 8 (b) 2 (c) 9 (d) 17
  3. 3.What is the mode of 8, 15, 2, 8, 16, 8 and 16? (a) 16 (b) 2 (c) 8 (d) 15
  4. 4.What is the median of 17, 26, 20, 27 and 19? (a) 20 (b) 19 (c) 21 (d) 26
  5. 5.What is the median of 28, 5, 6, 19, 34, 21 and 27? (a) 20 (b) 27 (c) 19 (d) 21
  6. 6.What is the mode of 13, 9, 13, 20, 8, 20 and 13? (a) 9 (b) 13 (c) 8 (d) 20
  7. 7.The mean of 6 numbers is 15. When the number 36 is added to them, what is the new mean? (a) 15 (b) 18 (c) 17 (d) 19
  8. 8.The mean of 5 numbers is 26. When the number 2 is added to them, what is the new mean? (a) 14 (b) 22 (c) 26 (d) 23
  9. 9.What is the mean of 4, 9, 19, 3, 18 and 7? (a) 9 (b) 12 (c) 11 (d) 10
  10. 10.What is the median of 25, 2, 4, 11 and 12? (a) 10 (b) 11 (c) 12 (d) 4
  11. 11.What is the median of 20, 2, 8, 22, 4, 27 and 12? (a) 12 (b) 8 (c) 20 (d) 22
  12. 12.What is the mean of 2, 6, 12, 17, 14 and 15? (a) 12 (b) 11 (c) 13 (d) 10
  13. 13.What is the median of 29, 6, 32, 1, 5, 13 and 10? (a) 6 (b) 10 (c) 13 (d) 1
  14. 14.What is the median of 40, 19, 10, 1 and 7? (a) 11 (b) 10 (c) 19 (d) 7
  15. 15.What is the mode of 8, 3, 1, 3, 4, 4 and 4? (a) 1 (b) 8 (c) 3 (d) 4
  16. 16.The mean of 3 numbers is 36. When the number 20 is added to them, what is the new mean? (a) 36 (b) 32 (c) 33 (d) 28
  17. 17.The mean of 5 numbers is 12. When the number 18 is added to them, what is the new mean? (a) 15 (b) 13 (c) 14 (d) 12
  18. 18.The mean of 6 numbers is 13. When the number 6 is added to them, what is the new mean? (a) 14 (b) 12 (c) 13 (d) 11
  19. 19.What is the median of 2, 7, 16, 24 and 36? (a) 16 (b) 7 (c) 17 (d) 24
  20. 20.The mean of 9 numbers is 21. When the number 11 is added to them, what is the new mean? (a) 21 (b) 16 (c) 20 (d) 19
  21. 21.The mean of 5 numbers is 36. When the number 42 is added to them, what is the new mean? (a) 38 (b) 36 (c) 37 (d) 39
  22. 22.What is the mean of 9, 7, 19, 8, 18 and 11? (a) 13 (b) 11 (c) 12 (d) 14
  23. 23.What is the mean of 4, 10, 12, 13 and 16? (a) 10 (b) 12 (c) 13 (d) 11
  24. 24.The mean of 4 numbers is 15. When the number 30 is added to them, what is the new mean? (a) 19 (b) 15 (c) 17 (d) 18
  25. 25.The mean of 9 numbers is 25. When the number 15 is added to them, what is the new mean? (a) 23 (b) 20 (c) 25 (d) 24
  26. 26.What is the median of 4, 38, 26, 5 and 15? (a) 16 (b) 26 (c) 5 (d) 15
  27. 27.What is the mean of 6, 8, 7 and 19? (a) 8 (b) 9 (c) 10 (d) 11
  28. 28.What is the mean of 4, 19, 4 and 13? (a) 10 (b) 9 (c) 8 (d) 11
  29. 29.What is the mode of 20, 10, 9, 9, 10, 5 and 9? (a) 5 (b) 20 (c) 9 (d) 10
  30. 30.What is the mode of 3, 3, 20, 5, 7, 5 and 3? (a) 20 (b) 3 (c) 7 (d) 5
  31. 31.The mean of 8 numbers is 26. When the number 8 is added to them, what is the new mean? (a) 24 (b) 25 (c) 26 (d) 17
  32. 32.What is the mode of 4, 18, 19, 14, 19, 14 and 14? (a) 14 (b) 18 (c) 4 (d) 19
  33. 33.What is the median of 34, 20, 19, 23 and 15? (a) 21 (b) 20 (c) 23 (d) 19
  34. 34.What is the mean of 7, 5, 2 and 18? (a) 7 (b) 9 (c) 10 (d) 8
  35. 35.What is the median of 8, 11, 15, 40, 28, 34 and 30? (a) 30 (b) 40 (c) 15 (d) 28
  36. 36.The mean of 6 numbers is 40. When the number 68 is added to them, what is the new mean? (a) 45 (b) 54 (c) 44 (d) 40
  37. 37.What is the mean of 5, 18, 19, 14, 10 and 12? (a) 14 (b) 12 (c) 13 (d) 15
  38. 38.What is the mean of 18, 11, 8, 13 and 5? (a) 11 (b) 13 (c) 12 (d) 10
  39. 39.The mean of 8 numbers is 29. When the number 38 is added to them, what is the new mean? (a) 31 (b) 30 (c) 29 (d) 32
  40. 40.What is the mean of 20, 10, 11, 8 and 16? (a) 12 (b) 15 (c) 14 (d) 13

Answer key

  1. 29
  2. 9
  3. 8
  4. 20
  5. 21
  6. 13
  7. 18
  8. 22
  9. 10
  10. 11
  11. 12
  12. 11
  13. 10
  14. 10
  15. 4
  16. 32
  17. 13
  18. 12
  19. 16
  20. 20
  21. 37
  22. 12
  23. 11
  24. 18
  25. 24
  26. 15
  27. 10
  28. 10
  29. 9
  30. 3
  31. 24
  32. 14
  33. 20
  34. 8
  35. 28
  36. 44
  37. 13
  38. 11
  39. 30
  40. 13

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