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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 163 · 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 11, 23, 37, 39 and 6? (a) 11 (b) 24 (c) 23 (d) 37
  2. 2.What is the mode of 6, 9, 11, 8, 9, 6 and 6? (a) 8 (b) 11 (c) 6 (d) 9
  3. 3.What is the mean of 4, 13, 8, 11 and 9? (a) 9 (b) 10 (c) 8 (d) 11
  4. 4.What is the mode of 1, 1, 5, 6, 6, 4 and 6? (a) 4 (b) 1 (c) 6 (d) 5
  5. 5.What is the median of 10, 27, 35, 17 and 20? (a) 20 (b) 17 (c) 35 (d) 27
  6. 6.What is the median of 26, 10, 29, 18 and 23? (a) 18 (b) 23 (c) 26 (d) 29
  7. 7.What is the mode of 11, 16, 16, 9, 11, 16 and 14? (a) 14 (b) 9 (c) 16 (d) 11
  8. 8.The mean of 5 numbers is 19. When the number 31 is added to them, what is the new mean? (a) 19 (b) 22 (c) 21 (d) 25
  9. 9.What is the mean of 7, 8, 15, 9 and 16? (a) 12 (b) 10 (c) 11 (d) 13
  10. 10.The mean of 3 numbers is 35. When the number 47 is added to them, what is the new mean? (a) 35 (b) 41 (c) 39 (d) 38
  11. 11.What is the mode of 4, 6, 12, 6, 6, 20 and 4? (a) 20 (b) 12 (c) 6 (d) 4
  12. 12.What is the mode of 1, 20, 7, 7, 20, 7 and 11? (a) 20 (b) 1 (c) 11 (d) 7
  13. 13.The mean of 8 numbers is 22. When the number 13 is added to them, what is the new mean? (a) 23 (b) 21 (c) 20 (d) 22
  14. 14.What is the mean of 20, 5, 12 and 19? (a) 16 (b) 13 (c) 15 (d) 14
  15. 15.The mean of 3 numbers is 21. When the number 33 is added to them, what is the new mean? (a) 25 (b) 21 (c) 24 (d) 27
  16. 16.What is the median of 12, 25, 11, 14, 31, 8 and 22? (a) 12 (b) 22 (c) 14 (d) 15
  17. 17.What is the mean of 11, 5, 20, 20 and 9? (a) 15 (b) 13 (c) 12 (d) 14
  18. 18.What is the mode of 9, 11, 9, 6, 2, 2 and 2? (a) 9 (b) 2 (c) 6 (d) 11
  19. 19.The mean of 4 numbers is 33. When the number 48 is added to them, what is the new mean? (a) 37 (b) 33 (c) 35 (d) 36
  20. 20.What is the mode of 1, 15, 15, 9, 1, 15 and 18? (a) 15 (b) 1 (c) 9 (d) 18
  21. 21.What is the mean of 4, 15, 2, 5 and 9? (a) 9 (b) 7 (c) 6 (d) 8
  22. 22.What is the median of 27, 15, 28, 2, 16, 6 and 11? (a) 15 (b) 2 (c) 11 (d) 16
  23. 23.What is the median of 32, 37, 3, 16 and 8? (a) 3 (b) 32 (c) 16 (d) 8
  24. 24.What is the median of 35, 25, 18, 7, 11, 10 and 20? (a) 20 (b) 11 (c) 7 (d) 18
  25. 25.The mean of 8 numbers is 39. When the number 30 is added to them, what is the new mean? (a) 40 (b) 37 (c) 39 (d) 38
  26. 26.The mean of 3 numbers is 27. When the number 31 is added to them, what is the new mean? (a) 27 (b) 30 (c) 29 (d) 28
  27. 27.What is the mean of 9, 14, 6, 7, 13 and 17? (a) 12 (b) 11 (c) 10 (d) 13
  28. 28.What is the median of 21, 38, 24, 11, 28, 18 and 6? (a) 21 (b) 11 (c) 18 (d) 24
  29. 29.What is the mode of 17, 17, 16, 17, 16, 20 and 11? (a) 17 (b) 11 (c) 16 (d) 20
  30. 30.What is the median of 31, 8, 29, 36, 5, 18 and 10? (a) 18 (b) 29 (c) 10 (d) 36
  31. 31.What is the mean of 11, 2, 4 and 11? (a) 7 (b) 6 (c) 8 (d) 9
  32. 32.What is the mode of 18, 13, 12, 13, 18, 13 and 9? (a) 18 (b) 12 (c) 13 (d) 9
  33. 33.The mean of 7 numbers is 26. When the number 10 is added to them, what is the new mean? (a) 26 (b) 25 (c) 24 (d) 18
  34. 34.What is the mean of 12, 11, 19, 6, 11 and 13? (a) 13 (b) 11 (c) 12 (d) 14
  35. 35.What is the mean of 4, 20, 5 and 7? (a) 12 (b) 10 (c) 8 (d) 9
  36. 36.What is the mean of 5, 7, 2, 14 and 7? (a) 6 (b) 8 (c) 9 (d) 7
  37. 37.The mean of 4 numbers is 17. When the number 22 is added to them, what is the new mean? (a) 20 (b) 17 (c) 19 (d) 18
  38. 38.The mean of 6 numbers is 40. When the number 68 is added to them, what is the new mean? (a) 54 (b) 40 (c) 44 (d) 45
  39. 39.What is the median of 7, 3, 23, 16, 19, 5 and 12? (a) 16 (b) 13 (c) 12 (d) 7
  40. 40.The mean of 7 numbers is 18. When the number 26 is added to them, what is the new mean? (a) 18 (b) 20 (c) 19 (d) 22

Answer key

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

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