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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 439 · 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, 5, 8 and 13? (a) 9 (b) 10 (c) 7 (d) 8
  2. 2.The mean of 7 numbers is 36. When the number 28 is added to them, what is the new mean? (a) 36 (b) 34 (c) 32 (d) 35
  3. 3.What is the mean of 10, 15, 5, 17 and 8? (a) 12 (b) 10 (c) 11 (d) 13
  4. 4.The mean of 4 numbers is 29. When the number 44 is added to them, what is the new mean? (a) 29 (b) 32 (c) 31 (d) 33
  5. 5.What is the median of 38, 13, 35, 5 and 6? (a) 6 (b) 14 (c) 13 (d) 35
  6. 6.What is the median of 2, 9, 8, 18, 37, 38 and 4? (a) 8 (b) 9 (c) 10 (d) 18
  7. 7.What is the mode of 20, 4, 16, 15, 16, 4 and 16? (a) 20 (b) 4 (c) 15 (d) 16
  8. 8.The mean of 8 numbers is 27. When the number 9 is added to them, what is the new mean? (a) 27 (b) 25 (c) 18 (d) 26
  9. 9.What is the median of 29, 18, 3, 22 and 6? (a) 22 (b) 6 (c) 3 (d) 18
  10. 10.The mean of 4 numbers is 25. When the number 5 is added to them, what is the new mean? (a) 25 (b) 22 (c) 15 (d) 21
  11. 11.What is the mode of 19, 9, 18, 12, 18, 9 and 18? (a) 18 (b) 9 (c) 19 (d) 12
  12. 12.What is the mean of 15, 13, 13, 3, 5 and 17? (a) 11 (b) 13 (c) 12 (d) 10
  13. 13.What is the mode of 12, 12, 5, 5, 13, 12 and 9? (a) 9 (b) 13 (c) 12 (d) 5
  14. 14.The mean of 3 numbers is 35. When the number 31 is added to them, what is the new mean? (a) 34 (b) 35 (c) 33 (d) 36
  15. 15.What is the median of 13, 39, 15, 2 and 3? (a) 13 (b) 15 (c) 3 (d) 14
  16. 16.What is the mode of 7, 16, 13, 13, 11, 16 and 16? (a) 13 (b) 16 (c) 7 (d) 11
  17. 17.What is the mean of 7, 11, 4, 7, 2 and 5? (a) 6 (b) 8 (c) 7 (d) 5
  18. 18.The mean of 7 numbers is 37. When the number 61 is added to them, what is the new mean? (a) 40 (b) 37 (c) 41 (d) 49
  19. 19.What is the mode of 15, 15, 6, 20, 20, 20 and 13? (a) 13 (b) 15 (c) 6 (d) 20
  20. 20.The mean of 8 numbers is 12. When the number 21 is added to them, what is the new mean? (a) 12 (b) 14 (c) 15 (d) 13
  21. 21.What is the mode of 20, 15, 15, 15, 8, 9 and 8? (a) 20 (b) 15 (c) 8 (d) 9
  22. 22.What is the mean of 17, 2, 14, 15 and 7? (a) 10 (b) 12 (c) 13 (d) 11
  23. 23.What is the median of 13, 9, 11, 14 and 19? (a) 11 (b) 14 (c) 13 (d) 12
  24. 24.What is the mean of 12, 20, 20 and 16? (a) 19 (b) 16 (c) 17 (d) 18
  25. 25.What is the mean of 19, 2, 17, 15 and 12? (a) 13 (b) 14 (c) 12 (d) 15
  26. 26.What is the median of 7, 39, 26, 19 and 18? (a) 20 (b) 18 (c) 19 (d) 26
  27. 27.The mean of 5 numbers is 15. When the number 33 is added to them, what is the new mean? (a) 24 (b) 15 (c) 18 (d) 19
  28. 28.What is the median of 33, 31, 37, 36 and 20? (a) 31 (b) 33 (c) 36 (d) 37
  29. 29.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) 29 (d) 28
  30. 30.The mean of 6 numbers is 16. When the number 30 is added to them, what is the new mean? (a) 19 (b) 23 (c) 16 (d) 18
  31. 31.What is the mean of 8, 17, 6, 18 and 6? (a) 12 (b) 11 (c) 13 (d) 10
  32. 32.What is the mean of 17, 6, 19 and 6? (a) 16 (b) 12 (c) 13 (d) 11
  33. 33.What is the mean of 2, 20, 3, 3, 6 and 8? (a) 6 (b) 8 (c) 7 (d) 9
  34. 34.What is the median of 1, 17, 8, 11 and 9? (a) 8 (b) 11 (c) 10 (d) 9
  35. 35.What is the median of 10, 24, 4, 32, 29, 20 and 13? (a) 13 (b) 32 (c) 20 (d) 24
  36. 36.What is the mode of 13, 1, 19, 19, 13, 6 and 13? (a) 1 (b) 13 (c) 19 (d) 6
  37. 37.What is the median of 36, 9, 4, 3 and 1? (a) 3 (b) 5 (c) 9 (d) 4
  38. 38.What is the mean of 5, 20, 5, 5 and 20? (a) 10 (b) 12 (c) 13 (d) 11
  39. 39.What is the median of 26, 9, 27, 18, 22, 32 and 11? (a) 26 (b) 18 (c) 23 (d) 22
  40. 40.What is the mean of 16, 19, 10, 11 and 14? (a) 14 (b) 16 (c) 13 (d) 15

Answer key

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

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