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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 361 · 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 6, 15, 4 and 19? (a) 13 (b) 12 (c) 10 (d) 11
  2. 2.The mean of 5 numbers is 34. When the number 52 is added to them, what is the new mean? (a) 34 (b) 43 (c) 37 (d) 38
  3. 3.What is the mean of 6, 20, 13, 6 and 20? (a) 15 (b) 13 (c) 12 (d) 14
  4. 4.What is the median of 7, 10, 12, 15, 25, 24 and 19? (a) 19 (b) 15 (c) 12 (d) 16
  5. 5.The mean of 3 numbers is 20. When the number 12 is added to them, what is the new mean? (a) 16 (b) 20 (c) 18 (d) 19
  6. 6.What is the mean of 7, 15, 8 and 6? (a) 12 (b) 10 (c) 9 (d) 8
  7. 7.What is the mean of 3, 7, 9, 4 and 7? (a) 8 (b) 7 (c) 5 (d) 6
  8. 8.What is the mode of 2, 17, 3, 19, 2, 2 and 19? (a) 3 (b) 17 (c) 19 (d) 2
  9. 9.What is the median of 12, 21, 18, 19, 30, 40 and 4? (a) 18 (b) 20 (c) 19 (d) 21
  10. 10.What is the mean of 14, 11, 3 and 20? (a) 12 (b) 16 (c) 11 (d) 13
  11. 11.What is the mean of 2, 2, 11, 5 and 20? (a) 9 (b) 10 (c) 7 (d) 8
  12. 12.What is the mean of 11, 9, 9, 8 and 8? (a) 10 (b) 8 (c) 11 (d) 9
  13. 13.The mean of 4 numbers is 26. When the number 36 is added to them, what is the new mean? (a) 31 (b) 26 (c) 28 (d) 29
  14. 14.The mean of 5 numbers is 10. When the number 16 is added to them, what is the new mean? (a) 12 (b) 13 (c) 11 (d) 10
  15. 15.The mean of 4 numbers is 39. When the number 49 is added to them, what is the new mean? (a) 44 (b) 41 (c) 42 (d) 39
  16. 16.The mean of 4 numbers is 25. When the number 5 is added to them, what is the new mean? (a) 15 (b) 25 (c) 22 (d) 21
  17. 17.The mean of 3 numbers is 20. When the number 36 is added to them, what is the new mean? (a) 25 (b) 20 (c) 24 (d) 28
  18. 18.What is the median of 17, 11, 29, 14, 9, 8 and 22? (a) 14 (b) 15 (c) 11 (d) 17
  19. 19.What is the mean of 10, 14, 5, 20 and 6? (a) 10 (b) 12 (c) 13 (d) 11
  20. 20.What is the median of 18, 29, 37, 25 and 27? (a) 27 (b) 29 (c) 37 (d) 25
  21. 21.What is the median of 30, 31, 25, 2 and 3? (a) 30 (b) 25 (c) 26 (d) 3
  22. 22.What is the mean of 12, 4, 6, 11 and 12? (a) 9 (b) 8 (c) 10 (d) 11
  23. 23.What is the median of 7, 29, 6, 15, 11, 37 and 16? (a) 15 (b) 16 (c) 14 (d) 11
  24. 24.What is the mean of 20, 10, 4 and 2? (a) 8 (b) 12 (c) 10 (d) 9
  25. 25.What is the median of 4, 20, 1, 24 and 25? (a) 1 (b) 24 (c) 20 (d) 4
  26. 26.What is the median of 35, 27, 24, 7, 16, 22 and 34? (a) 24 (b) 7 (c) 27 (d) 22
  27. 27.What is the median of 31, 39, 35, 17 and 10? (a) 35 (b) 32 (c) 31 (d) 17
  28. 28.What is the median of 16, 1, 9, 7 and 25? (a) 9 (b) 10 (c) 16 (d) 7
  29. 29.What is the median of 3, 34, 37, 19, 36, 33 and 18? (a) 34 (b) 19 (c) 33 (d) 32
  30. 30.What is the median of 4, 1, 8, 40, 31, 9 and 13? (a) 8 (b) 13 (c) 40 (d) 9
  31. 31.What is the median of 18, 39, 13, 26 and 5? (a) 19 (b) 18 (c) 26 (d) 13
  32. 32.What is the mode of 13, 2, 13, 17, 18, 18 and 18? (a) 13 (b) 17 (c) 2 (d) 18
  33. 33.What is the mode of 16, 16, 18, 7, 16, 7 and 5? (a) 7 (b) 16 (c) 5 (d) 18
  34. 34.What is the median of 30, 25, 9, 13, 5, 20 and 27? (a) 13 (b) 20 (c) 25 (d) 21
  35. 35.What is the mode of 16, 16, 2, 10, 2, 16 and 17? (a) 16 (b) 17 (c) 2 (d) 10
  36. 36.What is the mean of 5, 2, 13, 16, 2 and 22? (a) 11 (b) 9 (c) 12 (d) 10
  37. 37.What is the mode of 12, 3, 20, 10, 20, 12 and 20? (a) 20 (b) 10 (c) 12 (d) 3
  38. 38.What is the median of 21, 40, 38, 25, 16, 14 and 39? (a) 21 (b) 38 (c) 26 (d) 25
  39. 39.What is the mode of 5, 2, 9, 15, 15, 5 and 15? (a) 9 (b) 15 (c) 2 (d) 5
  40. 40.The mean of 8 numbers is 27. When the number 36 is added to them, what is the new mean? (a) 30 (b) 29 (c) 28 (d) 27

Answer key

  1. 11
  2. 37
  3. 13
  4. 15
  5. 18
  6. 9
  7. 6
  8. 2
  9. 19
  10. 12
  11. 8
  12. 9
  13. 28
  14. 11
  15. 41
  16. 21
  17. 24
  18. 14
  19. 11
  20. 27
  21. 25
  22. 9
  23. 15
  24. 9
  25. 20
  26. 24
  27. 31
  28. 9
  29. 33
  30. 9
  31. 18
  32. 18
  33. 16
  34. 20
  35. 16
  36. 10
  37. 20
  38. 25
  39. 15
  40. 28

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