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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 743 · 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.The mean of 3 numbers is 18. When the number 2 is added to them, what is the new mean? (a) 14 (b) 10 (c) 18 (d) 15
  2. 2.What is the median of 30, 36, 11, 34, 26, 28 and 13? (a) 30 (b) 26 (c) 34 (d) 28
  3. 3.What is the median of 17, 25, 4, 7, 22, 1 and 35? (a) 22 (b) 7 (c) 17 (d) 18
  4. 4.What is the median of 10, 3, 40, 4, 18, 15 and 6? (a) 10 (b) 4 (c) 15 (d) 6
  5. 5.What is the mean of 20, 14, 5 and 5? (a) 12 (b) 10 (c) 11 (d) 13
  6. 6.What is the median of 20, 16, 11, 12, 21, 38 and 30? (a) 12 (b) 16 (c) 20 (d) 21
  7. 7.The mean of 5 numbers is 40. When the number 46 is added to them, what is the new mean? (a) 41 (b) 40 (c) 43 (d) 42
  8. 8.What is the mean of 12, 15, 12, 15 and 6? (a) 12 (b) 15 (c) 10 (d) 13
  9. 9.What is the median of 5, 40, 24, 18, 10, 6 and 22? (a) 18 (b) 19 (c) 10 (d) 22
  10. 10.The mean of 8 numbers is 13. When the number 49 is added to them, what is the new mean? (a) 13 (b) 18 (c) 31 (d) 17
  11. 11.What is the mean of 8, 8, 13, 7, 16 and 20? (a) 14 (b) 11 (c) 12 (d) 13
  12. 12.What is the median of 26, 22, 11, 9 and 25? (a) 22 (b) 11 (c) 23 (d) 25
  13. 13.What is the mode of 20, 16, 19, 17, 20, 19 and 19? (a) 17 (b) 20 (c) 19 (d) 16
  14. 14.The mean of 6 numbers is 39. When the number 53 is added to them, what is the new mean? (a) 42 (b) 39 (c) 41 (d) 46
  15. 15.What is the mode of 17, 5, 17, 5, 13, 6 and 17? (a) 13 (b) 5 (c) 6 (d) 17
  16. 16.What is the median of 37, 38, 9, 31, 13, 25 and 2? (a) 25 (b) 31 (c) 13 (d) 26
  17. 17.The mean of 3 numbers is 22. When the number 30 is added to them, what is the new mean? (a) 24 (b) 22 (c) 25 (d) 26
  18. 18.What is the mode of 8, 3, 8, 8, 6, 6 and 11? (a) 3 (b) 8 (c) 6 (d) 11
  19. 19.What is the mode of 2, 2, 4, 4, 4, 20 and 13? (a) 4 (b) 2 (c) 20 (d) 13
  20. 20.What is the median of 1, 29, 12, 25, 5, 37 and 33? (a) 12 (b) 25 (c) 29 (d) 26
  21. 21.What is the median of 37, 13, 26, 34 and 25? (a) 25 (b) 27 (c) 34 (d) 26
  22. 22.What is the median of 21, 24, 7, 5 and 13? (a) 7 (b) 14 (c) 21 (d) 13
  23. 23.The mean of 4 numbers is 17. When the number 12 is added to them, what is the new mean? (a) 15 (b) 18 (c) 16 (d) 17
  24. 24.What is the mean of 20, 3, 14 and 19? (a) 15 (b) 13 (c) 16 (d) 14
  25. 25.What is the mean of 11, 17, 4 and 12? (a) 11 (b) 10 (c) 13 (d) 12
  26. 26.What is the mean of 15, 5, 5 and 7? (a) 7 (b) 8 (c) 9 (d) 10
  27. 27.What is the mean of 8, 4, 16, 4, 14 and 14? (a) 12 (b) 9 (c) 11 (d) 10
  28. 28.The mean of 4 numbers is 22. When the number 42 is added to them, what is the new mean? (a) 22 (b) 32 (c) 27 (d) 26
  29. 29.What is the mean of 9, 5, 16, 12 and 13? (a) 13 (b) 11 (c) 10 (d) 12
  30. 30.What is the median of 3, 24, 40, 12, 22, 6 and 4? (a) 22 (b) 6 (c) 13 (d) 12
  31. 31.What is the median of 38, 1, 18, 31 and 9? (a) 19 (b) 31 (c) 18 (d) 9
  32. 32.What is the mode of 8, 11, 14, 11, 4, 11 and 4? (a) 14 (b) 11 (c) 8 (d) 4
  33. 33.The mean of 8 numbers is 20. When the number 38 is added to them, what is the new mean? (a) 23 (b) 20 (c) 29 (d) 22
  34. 34.What is the median of 12, 20, 17, 8 and 4? (a) 17 (b) 12 (c) 13 (d) 8
  35. 35.What is the median of 20, 13, 40, 24, 19, 31 and 18? (a) 24 (b) 21 (c) 19 (d) 20
  36. 36.What is the mean of 9, 2, 4, 5, 12 and 16? (a) 9 (b) 8 (c) 10 (d) 7
  37. 37.What is the mean of 6, 5, 7, 19 and 18? (a) 10 (b) 12 (c) 13 (d) 11
  38. 38.What is the median of 33, 31, 11, 40, 13, 12 and 38? (a) 13 (b) 40 (c) 31 (d) 33
  39. 39.What is the median of 2, 18, 12, 25 and 1? (a) 13 (b) 2 (c) 12 (d) 18
  40. 40.What is the mean of 13, 17, 17 and 13? (a) 12 (b) 20 (c) 15 (d) 16

Answer key

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

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