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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 624 · 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 13, 10, 2, 21 and 36? (a) 13 (b) 2 (c) 10 (d) 21
  2. 2.What is the mean of 14, 2, 17, 10 and 22? (a) 13 (b) 14 (c) 12 (d) 15
  3. 3.What is the mean of 4, 11, 2, 6, 2 and 23? (a) 9 (b) 10 (c) 7 (d) 8
  4. 4.What is the median of 26, 10, 6, 3 and 27? (a) 6 (b) 26 (c) 11 (d) 10
  5. 5.What is the mode of 13, 11, 10, 13, 13, 10 and 6? (a) 13 (b) 11 (c) 6 (d) 10
  6. 6.What is the median of 11, 7, 33, 12, 38, 24 and 30? (a) 12 (b) 25 (c) 24 (d) 30
  7. 7.What is the median of 13, 40, 22, 10 and 1? (a) 14 (b) 22 (c) 10 (d) 13
  8. 8.What is the mode of 3, 17, 13, 13, 17, 15 and 13? (a) 15 (b) 17 (c) 3 (d) 13
  9. 9.The mean of 4 numbers is 35. When the number 20 is added to them, what is the new mean? (a) 31 (b) 32 (c) 33 (d) 35
  10. 10.What is the mode of 4, 4, 2, 12, 15, 12 and 12? (a) 15 (b) 2 (c) 12 (d) 4
  11. 11.What is the mode of 16, 1, 10, 1, 3, 3 and 1? (a) 1 (b) 16 (c) 3 (d) 10
  12. 12.What is the mean of 12, 4, 8, 12, 2 and 22? (a) 11 (b) 9 (c) 12 (d) 10
  13. 13.What is the mean of 9, 14, 9, 14 and 14? (a) 15 (b) 10 (c) 12 (d) 13
  14. 14.The mean of 4 numbers is 23. When the number 33 is added to them, what is the new mean? (a) 25 (b) 28 (c) 26 (d) 23
  15. 15.What is the median of 3, 24, 16, 12, 20, 31 and 30? (a) 20 (b) 12 (c) 24 (d) 16
  16. 16.The mean of 6 numbers is 31. When the number 10 is added to them, what is the new mean? (a) 27 (b) 28 (c) 31 (d) 29
  17. 17.What is the median of 36, 1, 40, 20 and 10? (a) 36 (b) 10 (c) 40 (d) 20
  18. 18.What is the median of 22, 1, 20, 19, 9, 16 and 11? (a) 19 (b) 16 (c) 14 (d) 11
  19. 19.The mean of 7 numbers is 35. When the number 59 is added to them, what is the new mean? (a) 39 (b) 47 (c) 38 (d) 35
  20. 20.What is the mode of 16, 1, 14, 11, 1, 14 and 14? (a) 1 (b) 16 (c) 11 (d) 14
  21. 21.What is the median of 39, 3, 12, 13, 24, 10 and 25? (a) 24 (b) 13 (c) 18 (d) 12
  22. 22.The mean of 9 numbers is 16. When the number 6 is added to them, what is the new mean? (a) 16 (b) 14 (c) 11 (d) 15
  23. 23.What is the median of 35, 32, 27, 36 and 11? (a) 33 (b) 35 (c) 32 (d) 27
  24. 24.What is the median of 30, 8, 21, 18 and 9? (a) 19 (b) 9 (c) 21 (d) 18
  25. 25.The mean of 4 numbers is 33. When the number 28 is added to them, what is the new mean? (a) 31 (b) 32 (c) 33 (d) 34
  26. 26.What is the mean of 15, 2, 8, 12, 11 and 6? (a) 11 (b) 10 (c) 9 (d) 8
  27. 27.What is the mean of 9, 14, 10, 3, 14 and 10? (a) 9 (b) 10 (c) 11 (d) 12
  28. 28.What is the median of 18, 5, 6, 12, 34, 24 and 28? (a) 19 (b) 18 (c) 12 (d) 24
  29. 29.The mean of 5 numbers is 20. When the number 2 is added to them, what is the new mean? (a) 17 (b) 18 (c) 20 (d) 11
  30. 30.What is the mode of 20, 15, 10, 17, 20, 20 and 15? (a) 10 (b) 20 (c) 17 (d) 15
  31. 31.What is the mode of 12, 3, 3, 12, 18, 5 and 3? (a) 12 (b) 5 (c) 3 (d) 18
  32. 32.What is the mode of 19, 15, 15, 15, 4, 6 and 19? (a) 19 (b) 6 (c) 15 (d) 4
  33. 33.What is the mode of 17, 20, 3, 3, 17, 17 and 15? (a) 3 (b) 20 (c) 15 (d) 17
  34. 34.What is the mean of 16, 10, 13, 19, 5 and 21? (a) 12 (b) 13 (c) 14 (d) 15
  35. 35.What is the mode of 20, 16, 20, 14, 16, 16 and 11? (a) 11 (b) 14 (c) 16 (d) 20
  36. 36.What is the mean of 4, 2, 12 and 22? (a) 10 (b) 9 (c) 11 (d) 8
  37. 37.What is the mean of 12, 19, 15, 10, 11 and 11? (a) 12 (b) 15 (c) 14 (d) 13
  38. 38.What is the median of 19, 29, 3, 40 and 10? (a) 29 (b) 3 (c) 10 (d) 19
  39. 39.What is the mean of 8, 15, 3, 4 and 20? (a) 11 (b) 9 (c) 12 (d) 10
  40. 40.What is the median of 15, 26, 17, 21, 16, 4 and 12? (a) 21 (b) 17 (c) 16 (d) 15

Answer key

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

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