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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 146 · 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 34, 4, 36, 11 and 6? (a) 11 (b) 34 (c) 36 (d) 6
  2. 2.The mean of 8 numbers is 22. When the number 31 is added to them, what is the new mean? (a) 22 (b) 24 (c) 25 (d) 23
  3. 3.What is the mean of 19, 12, 6 and 15? (a) 13 (b) 12 (c) 15 (d) 14
  4. 4.What is the median of 25, 14, 34, 18, 2, 24 and 16? (a) 19 (b) 16 (c) 24 (d) 18
  5. 5.What is the median of 4, 31, 11, 5 and 30? (a) 5 (b) 12 (c) 30 (d) 11
  6. 6.What is the median of 20, 2, 37, 12, 28, 30 and 23? (a) 23 (b) 28 (c) 20 (d) 12
  7. 7.What is the mean of 10, 3, 14, 5 and 23? (a) 13 (b) 12 (c) 10 (d) 11
  8. 8.What is the mean of 18, 3, 5 and 18? (a) 12 (b) 11 (c) 13 (d) 10
  9. 9.The mean of 4 numbers is 28. When the number 43 is added to them, what is the new mean? (a) 30 (b) 28 (c) 32 (d) 31
  10. 10.What is the mean of 11, 5, 7, 10 and 17? (a) 10 (b) 9 (c) 11 (d) 12
  11. 11.The mean of 3 numbers is 38. When the number 30 is added to them, what is the new mean? (a) 38 (b) 37 (c) 34 (d) 36
  12. 12.What is the median of 6, 4, 2, 13 and 7? (a) 2 (b) 7 (c) 6 (d) 4
  13. 13.What is the mode of 1, 1, 17, 2, 11, 1 and 17? (a) 11 (b) 1 (c) 2 (d) 17
  14. 14.What is the mode of 8, 8, 1, 18, 1, 10 and 1? (a) 18 (b) 8 (c) 1 (d) 10
  15. 15.What is the mean of 9, 4, 4 and 23? (a) 10 (b) 8 (c) 11 (d) 9
  16. 16.The mean of 4 numbers is 24. When the number 9 is added to them, what is the new mean? (a) 22 (b) 21 (c) 24 (d) 20
  17. 17.What is the mean of 11, 3, 6, 16, 16 and 20? (a) 12 (b) 14 (c) 13 (d) 11
  18. 18.What is the mean of 17, 14, 4 and 17? (a) 15 (b) 12 (c) 13 (d) 14
  19. 19.What is the mean of 7, 2, 19, 10 and 12? (a) 9 (b) 11 (c) 10 (d) 12
  20. 20.The mean of 6 numbers is 38. When the number 59 is added to them, what is the new mean? (a) 38 (b) 42 (c) 40 (d) 41
  21. 21.What is the median of 22, 33, 16, 3 and 5? (a) 17 (b) 16 (c) 5 (d) 22
  22. 22.The mean of 4 numbers is 31. When the number 36 is added to them, what is the new mean? (a) 34 (b) 32 (c) 33 (d) 31
  23. 23.What is the mode of 11, 9, 11, 9, 11, 6 and 18? (a) 18 (b) 6 (c) 9 (d) 11
  24. 24.The mean of 4 numbers is 28. When the number 23 is added to them, what is the new mean? (a) 27 (b) 28 (c) 26 (d) 29
  25. 25.The mean of 3 numbers is 24. When the number 8 is added to them, what is the new mean? (a) 20 (b) 21 (c) 16 (d) 24
  26. 26.What is the mean of 11, 19, 18 and 8? (a) 15 (b) 16 (c) 13 (d) 14
  27. 27.What is the mode of 13, 9, 13, 19, 13, 10 and 19? (a) 19 (b) 13 (c) 9 (d) 10
  28. 28.What is the median of 3, 25, 19, 38 and 7? (a) 19 (b) 20 (c) 7 (d) 25
  29. 29.What is the median of 18, 11, 20, 10 and 25? (a) 11 (b) 19 (c) 20 (d) 18
  30. 30.What is the mean of 8, 5, 11, 8, 20 and 14? (a) 13 (b) 10 (c) 12 (d) 11
  31. 31.What is the mode of 10, 18, 14, 10, 18, 18 and 4? (a) 4 (b) 18 (c) 10 (d) 14
  32. 32.The mean of 5 numbers is 28. When the number 16 is added to them, what is the new mean? (a) 28 (b) 26 (c) 22 (d) 27
  33. 33.What is the mode of 10, 12, 12, 12, 2, 1 and 1? (a) 10 (b) 1 (c) 2 (d) 12
  34. 34.The mean of 4 numbers is 29. When the number 34 is added to them, what is the new mean? (a) 30 (b) 32 (c) 31 (d) 29
  35. 35.What is the mean of 5, 13, 12 and 10? (a) 8 (b) 11 (c) 9 (d) 10
  36. 36.What is the mode of 12, 13, 13, 16, 13, 20 and 16? (a) 16 (b) 12 (c) 20 (d) 13
  37. 37.What is the mode of 15, 2, 15, 3, 4, 4 and 15? (a) 4 (b) 2 (c) 15 (d) 3
  38. 38.What is the median of 36, 8, 31, 13 and 16? (a) 31 (b) 17 (c) 16 (d) 13
  39. 39.What is the mean of 3, 16, 11, 4 and 6? (a) 7 (b) 9 (c) 8 (d) 10
  40. 40.What is the mean of 14, 12, 13 and 21? (a) 15 (b) 16 (c) 20 (d) 12

Answer key

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

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