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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 544 · 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 mean of 11, 15, 4, 6, 15 and 21? (a) 14 (b) 12 (c) 13 (d) 11
  2. 2.What is the mode of 19, 10, 8, 8, 19, 8 and 2? (a) 19 (b) 8 (c) 10 (d) 2
  3. 3.What is the median of 4, 7, 17, 11 and 40? (a) 7 (b) 17 (c) 11 (d) 12
  4. 4.What is the median of 12, 11, 6, 24, 33, 39 and 4? (a) 12 (b) 24 (c) 11 (d) 13
  5. 5.What is the median of 33, 31, 3, 14 and 16? (a) 3 (b) 14 (c) 16 (d) 31
  6. 6.What is the mean of 8, 11, 17, 11, 2 and 23? (a) 14 (b) 12 (c) 11 (d) 13
  7. 7.The mean of 4 numbers is 36. When the number 56 is added to them, what is the new mean? (a) 40 (b) 36 (c) 46 (d) 41
  8. 8.What is the median of 5, 17, 6, 18 and 21? (a) 18 (b) 6 (c) 16 (d) 17
  9. 9.What is the median of 35, 12, 11, 7 and 6? (a) 12 (b) 11 (c) 7 (d) 10
  10. 10.What is the mean of 18, 5, 20, 3 and 14? (a) 12 (b) 13 (c) 10 (d) 15
  11. 11.What is the median of 18, 33, 32, 10, 27, 14 and 2? (a) 14 (b) 27 (c) 10 (d) 18
  12. 12.The mean of 3 numbers is 40. When the number 32 is added to them, what is the new mean? (a) 40 (b) 38 (c) 36 (d) 39
  13. 13.What is the mode of 4, 7, 5, 4, 5, 5 and 13? (a) 13 (b) 7 (c) 4 (d) 5
  14. 14.What is the mean of 11, 2, 19, 12 and 6? (a) 9 (b) 12 (c) 10 (d) 11
  15. 15.What is the median of 23, 28, 5, 14, 17, 32 and 21? (a) 20 (b) 14 (c) 23 (d) 21
  16. 16.What is the median of 5, 17, 38, 12 and 34? (a) 12 (b) 17 (c) 34 (d) 38
  17. 17.What is the median of 9, 37, 29, 35 and 39? (a) 29 (b) 37 (c) 36 (d) 35
  18. 18.The mean of 5 numbers is 14. When the number 32 is added to them, what is the new mean? (a) 23 (b) 18 (c) 17 (d) 14
  19. 19.What is the mean of 9, 13, 11, 15 and 12? (a) 10 (b) 15 (c) 13 (d) 12
  20. 20.The mean of 9 numbers is 15. When the number 35 is added to them, what is the new mean? (a) 25 (b) 15 (c) 18 (d) 17
  21. 21.What is the mean of 10, 12, 20 and 10? (a) 12 (b) 14 (c) 15 (d) 13
  22. 22.What is the median of 13, 15, 33, 18, 1, 2 and 5? (a) 15 (b) 5 (c) 18 (d) 13
  23. 23.The mean of 7 numbers is 16. When the number 32 is added to them, what is the new mean? (a) 24 (b) 19 (c) 16 (d) 18
  24. 24.What is the mean of 8, 16, 8 and 8? (a) 11 (b) 9 (c) 8 (d) 10
  25. 25.What is the median of 15, 17, 4, 25 and 29? (a) 17 (b) 18 (c) 25 (d) 4
  26. 26.What is the mean of 20, 14, 16, 20 and 10? (a) 15 (b) 16 (c) 17 (d) 20
  27. 27.What is the mean of 5, 4, 20 and 3? (a) 9 (b) 10 (c) 7 (d) 8
  28. 28.What is the median of 18, 21, 24, 15, 7, 9 and 38? (a) 19 (b) 21 (c) 15 (d) 18
  29. 29.What is the mode of 5, 4, 10, 5, 18, 10 and 5? (a) 18 (b) 5 (c) 4 (d) 10
  30. 30.The mean of 9 numbers is 10. When the number 20 is added to them, what is the new mean? (a) 15 (b) 12 (c) 11 (d) 10
  31. 31.The mean of 6 numbers is 33. When the number 26 is added to them, what is the new mean? (a) 34 (b) 32 (c) 31 (d) 33
  32. 32.The mean of 3 numbers is 11. When the number 3 is added to them, what is the new mean? (a) 11 (b) 10 (c) 9 (d) 7
  33. 33.What is the mean of 13, 15, 3, 4, 8 and 17? (a) 11 (b) 12 (c) 9 (d) 10
  34. 34.What is the median of 5, 33, 36, 12 and 32? (a) 36 (b) 32 (c) 12 (d) 33
  35. 35.What is the median of 10, 8, 22, 29, 3, 5 and 6? (a) 10 (b) 8 (c) 6 (d) 29
  36. 36.The mean of 5 numbers is 35. When the number 41 is added to them, what is the new mean? (a) 38 (b) 37 (c) 36 (d) 35
  37. 37.What is the mean of 8, 8, 18, 9 and 17? (a) 13 (b) 12 (c) 15 (d) 10
  38. 38.What is the median of 37, 22, 26, 39 and 36? (a) 26 (b) 37 (c) 32 (d) 36
  39. 39.What is the mean of 10, 17, 18, 8 and 17? (a) 13 (b) 15 (c) 14 (d) 16
  40. 40.What is the mode of 9, 13, 6, 1, 6, 1 and 6? (a) 6 (b) 1 (c) 9 (d) 13

Answer key

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

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