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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 69 · 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 23, 9, 16, 26, 34, 12 and 36? (a) 16 (b) 24 (c) 23 (d) 26
  2. 2.What is the median of 4, 15, 28, 6 and 23? (a) 15 (b) 23 (c) 6 (d) 28
  3. 3.What is the median of 36, 37, 10, 1 and 11? (a) 11 (b) 10 (c) 36 (d) 19
  4. 4.What is the mode of 16, 14, 1, 1, 1, 20 and 16? (a) 14 (b) 20 (c) 1 (d) 16
  5. 5.What is the median of 3, 31, 16, 15, 19, 28 and 7? (a) 19 (b) 15 (c) 17 (d) 16
  6. 6.What is the mean of 19, 13, 16 and 12? (a) 12 (b) 16 (c) 20 (d) 15
  7. 7.What is the mean of 12, 20, 10 and 6? (a) 11 (b) 16 (c) 12 (d) 13
  8. 8.What is the median of 35, 39, 26, 29 and 5? (a) 26 (b) 29 (c) 30 (d) 35
  9. 9.What is the mode of 13, 8, 16, 16, 14, 8 and 16? (a) 14 (b) 13 (c) 16 (d) 8
  10. 10.What is the mean of 3, 17, 11 and 13? (a) 11 (b) 12 (c) 13 (d) 10
  11. 11.What is the mean of 20, 14, 8, 4, 16 and 22? (a) 15 (b) 13 (c) 12 (d) 14
  12. 12.The mean of 3 numbers is 37. When the number 49 is added to them, what is the new mean? (a) 40 (b) 43 (c) 41 (d) 37
  13. 13.What is the median of 31, 25, 23, 27, 11, 20 and 19? (a) 25 (b) 27 (c) 20 (d) 23
  14. 14.The mean of 6 numbers is 23. When the number 2 is added to them, what is the new mean? (a) 23 (b) 21 (c) 19 (d) 20
  15. 15.What is the mean of 10, 14, 9, 5, 17 and 17? (a) 13 (b) 11 (c) 12 (d) 14
  16. 16.What is the median of 33, 1, 7, 24 and 39? (a) 33 (b) 24 (c) 7 (d) 25
  17. 17.The mean of 4 numbers is 27. When the number 12 is added to them, what is the new mean? (a) 23 (b) 27 (c) 25 (d) 24
  18. 18.What is the mode of 14, 5, 10, 2, 10, 5 and 5? (a) 5 (b) 2 (c) 10 (d) 14
  19. 19.The mean of 4 numbers is 25. When the number 30 is added to them, what is the new mean? (a) 27 (b) 25 (c) 28 (d) 26
  20. 20.What is the mode of 14, 13, 13, 2, 6, 13 and 14? (a) 13 (b) 6 (c) 14 (d) 2
  21. 21.What is the mode of 11, 6, 1, 11, 8, 6 and 11? (a) 8 (b) 1 (c) 6 (d) 11
  22. 22.What is the mode of 19, 18, 18, 8, 19, 19 and 12? (a) 8 (b) 12 (c) 19 (d) 18
  23. 23.What is the median of 15, 27, 37, 14, 8, 38 and 34? (a) 14 (b) 34 (c) 27 (d) 15
  24. 24.The mean of 6 numbers is 11. When the number 18 is added to them, what is the new mean? (a) 11 (b) 14 (c) 13 (d) 12
  25. 25.What is the mode of 18, 16, 18, 16, 16, 17 and 15? (a) 15 (b) 17 (c) 18 (d) 16
  26. 26.What is the median of 26, 9, 38, 34, 27, 7 and 8? (a) 27 (b) 34 (c) 9 (d) 26
  27. 27.The mean of 4 numbers is 23. When the number 18 is added to them, what is the new mean? (a) 22 (b) 24 (c) 21 (d) 23
  28. 28.The mean of 3 numbers is 32. When the number 24 is added to them, what is the new mean? (a) 32 (b) 31 (c) 28 (d) 30
  29. 29.What is the mean of 5, 12, 5, 7 and 21? (a) 10 (b) 9 (c) 11 (d) 12
  30. 30.What is the median of 9, 32, 24, 37 and 12? (a) 25 (b) 12 (c) 24 (d) 32
  31. 31.What is the mean of 19, 17, 4, 10 and 10? (a) 12 (b) 10 (c) 15 (d) 13
  32. 32.What is the mean of 8, 11, 2, 12 and 7? (a) 8 (b) 10 (c) 7 (d) 9
  33. 33.What is the mode of 18, 18, 6, 18, 19, 19 and 1? (a) 18 (b) 1 (c) 6 (d) 19
  34. 34.What is the mean of 16, 3, 11, 10 and 10? (a) 10 (b) 11 (c) 9 (d) 12
  35. 35.What is the mean of 7, 6, 9 and 6? (a) 7 (b) 9 (c) 8 (d) 6
  36. 36.What is the median of 31, 2, 1, 27, 23, 9 and 21? (a) 23 (b) 9 (c) 21 (d) 27
  37. 37.What is the mode of 1, 8, 9, 9, 20, 8 and 8? (a) 1 (b) 8 (c) 20 (d) 9
  38. 38.What is the mean of 2, 2, 3, 10, 6 and 13? (a) 5 (b) 7 (c) 8 (d) 6
  39. 39.What is the mean of 10, 7, 7, 18, 11 and 7? (a) 10 (b) 11 (c) 12 (d) 9
  40. 40.What is the mean of 3, 7, 8 and 2? (a) 6 (b) 4 (c) 7 (d) 5

Answer key

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

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