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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 322 · 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 25, 39, 36, 32 and 37? (a) 35 (b) 37 (c) 36 (d) 32
  2. 2.What is the mean of 20, 11, 16, 6 and 12? (a) 13 (b) 12 (c) 14 (d) 15
  3. 3.What is the mode of 10, 10, 4, 10, 15, 15 and 8? (a) 10 (b) 4 (c) 8 (d) 15
  4. 4.What is the mean of 18, 15, 19, 16 and 22? (a) 18 (b) 17 (c) 19 (d) 15
  5. 5.What is the median of 40, 2, 37, 15 and 18? (a) 37 (b) 19 (c) 15 (d) 18
  6. 6.What is the mean of 2, 20, 7, 20 and 6? (a) 13 (b) 10 (c) 11 (d) 12
  7. 7.What is the mode of 19, 9, 19, 16, 19, 7 and 16? (a) 9 (b) 16 (c) 7 (d) 19
  8. 8.The mean of 6 numbers is 31. When the number 3 is added to them, what is the new mean? (a) 17 (b) 27 (c) 28 (d) 31
  9. 9.What is the mean of 12, 6, 12, 5 and 10? (a) 11 (b) 9 (c) 8 (d) 10
  10. 10.What is the mode of 14, 10, 10, 4, 12, 12 and 12? (a) 12 (b) 14 (c) 4 (d) 10
  11. 11.What is the mode of 6, 2, 11, 17, 6, 6 and 17? (a) 2 (b) 17 (c) 6 (d) 11
  12. 12.What is the median of 7, 6, 4, 12 and 37? (a) 4 (b) 7 (c) 6 (d) 12
  13. 13.What is the mode of 9, 12, 4, 20, 4, 20 and 4? (a) 4 (b) 12 (c) 20 (d) 9
  14. 14.What is the mean of 2, 13, 13, 2, 18 and 18? (a) 13 (b) 11 (c) 10 (d) 12
  15. 15.What is the mean of 12, 10, 16, 10 and 17? (a) 15 (b) 12 (c) 13 (d) 14
  16. 16.What is the median of 2, 32, 9, 22, 11, 27 and 33? (a) 27 (b) 22 (c) 23 (d) 11
  17. 17.What is the mean of 5, 13, 2 and 12? (a) 8 (b) 9 (c) 7 (d) 10
  18. 18.What is the mean of 17, 13, 6 and 8? (a) 11 (b) 12 (c) 13 (d) 10
  19. 19.The mean of 3 numbers is 28. When the number 32 is added to them, what is the new mean? (a) 28 (b) 31 (c) 30 (d) 29
  20. 20.The mean of 3 numbers is 22. When the number 14 is added to them, what is the new mean? (a) 21 (b) 18 (c) 22 (d) 20
  21. 21.What is the mean of 13, 15, 2 and 6? (a) 12 (b) 8 (c) 9 (d) 10
  22. 22.The mean of 3 numbers is 11. When the number 3 is added to them, what is the new mean? (a) 11 (b) 9 (c) 7 (d) 10
  23. 23.What is the median of 1, 5, 3, 29, 15, 9 and 36? (a) 29 (b) 15 (c) 14 (d) 9
  24. 24.What is the median of 36, 10, 8, 29 and 2? (a) 8 (b) 29 (c) 10 (d) 17
  25. 25.What is the mean of 2, 6, 7 and 9? (a) 5 (b) 8 (c) 6 (d) 7
  26. 26.The mean of 5 numbers is 20. When the number 14 is added to them, what is the new mean? (a) 19 (b) 20 (c) 18 (d) 17
  27. 27.What is the mode of 1, 12, 12, 2, 2, 12 and 10? (a) 2 (b) 12 (c) 1 (d) 10
  28. 28.What is the mode of 11, 12, 8, 14, 14, 11 and 11? (a) 12 (b) 14 (c) 8 (d) 11
  29. 29.What is the mode of 3, 1, 2, 1, 14, 1 and 2? (a) 14 (b) 1 (c) 2 (d) 3
  30. 30.What is the median of 12, 36, 25, 17, 10, 29 and 38? (a) 17 (b) 26 (c) 25 (d) 29
  31. 31.The mean of 7 numbers is 37. When the number 61 is added to them, what is the new mean? (a) 41 (b) 40 (c) 37 (d) 49
  32. 32.What is the mean of 10, 11, 10 and 21? (a) 12 (b) 13 (c) 15 (d) 14
  33. 33.The mean of 4 numbers is 33. When the number 23 is added to them, what is the new mean? (a) 33 (b) 31 (c) 28 (d) 32
  34. 34.What is the mean of 13, 16, 17, 15 and 19? (a) 15 (b) 17 (c) 20 (d) 16
  35. 35.What is the median of 7, 9, 28, 20, 19, 14 and 37? (a) 14 (b) 18 (c) 19 (d) 20
  36. 36.What is the median of 20, 27, 38, 26, 11, 10 and 25? (a) 26 (b) 24 (c) 25 (d) 20
  37. 37.What is the median of 27, 22, 15, 6, 2, 38 and 35? (a) 15 (b) 6 (c) 22 (d) 27
  38. 38.What is the median of 10, 21, 15, 30, 9, 24 and 25? (a) 15 (b) 30 (c) 24 (d) 21
  39. 39.What is the mode of 15, 8, 2, 16, 15, 2 and 2? (a) 15 (b) 8 (c) 2 (d) 16
  40. 40.The mean of 8 numbers is 35. When the number 44 is added to them, what is the new mean? (a) 35 (b) 37 (c) 36 (d) 38

Answer key

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

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