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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 737 · 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 10, 35, 5, 33 and 20? (a) 10 (b) 5 (c) 33 (d) 20
  2. 2.What is the mode of 13, 6, 2, 13, 2, 13 and 15? (a) 6 (b) 15 (c) 13 (d) 2
  3. 3.What is the mode of 4, 17, 3, 17, 1, 3 and 3? (a) 3 (b) 1 (c) 4 (d) 17
  4. 4.What is the mode of 9, 14, 6, 14, 9, 9 and 3? (a) 3 (b) 14 (c) 9 (d) 6
  5. 5.What is the mean of 3, 6, 15, 2 and 4? (a) 5 (b) 7 (c) 6 (d) 8
  6. 6.What is the median of 33, 36, 40, 12, 18, 4 and 31? (a) 18 (b) 12 (c) 31 (d) 33
  7. 7.What is the median of 10, 14, 16, 5 and 38? (a) 14 (b) 16 (c) 10 (d) 15
  8. 8.What is the mode of 14, 20, 14, 10, 4, 20 and 20? (a) 20 (b) 10 (c) 4 (d) 14
  9. 9.The mean of 5 numbers is 34. When the number 10 is added to them, what is the new mean? (a) 31 (b) 34 (c) 22 (d) 30
  10. 10.The mean of 4 numbers is 11. When the number 31 is added to them, what is the new mean? (a) 21 (b) 15 (c) 11 (d) 16
  11. 11.The mean of 6 numbers is 38. When the number 24 is added to them, what is the new mean? (a) 38 (b) 36 (c) 37 (d) 31
  12. 12.What is the mean of 8, 17, 2, 15, 4 and 8? (a) 9 (b) 11 (c) 8 (d) 10
  13. 13.The mean of 6 numbers is 23. When the number 30 is added to them, what is the new mean? (a) 23 (b) 26 (c) 24 (d) 25
  14. 14.What is the median of 32, 38, 6, 12 and 7? (a) 19 (b) 12 (c) 32 (d) 6
  15. 15.The mean of 5 numbers is 36. When the number 60 is added to them, what is the new mean? (a) 48 (b) 41 (c) 36 (d) 40
  16. 16.What is the mean of 17, 7, 6 and 18? (a) 11 (b) 12 (c) 16 (d) 13
  17. 17.What is the mean of 2, 17, 20, 18 and 8? (a) 15 (b) 13 (c) 12 (d) 14
  18. 18.The mean of 4 numbers is 13. When the number 3 is added to them, what is the new mean? (a) 8 (b) 12 (c) 13 (d) 11
  19. 19.What is the median of 31, 33, 25, 38, 15, 4 and 6? (a) 15 (b) 38 (c) 31 (d) 25
  20. 20.What is the mean of 2, 2, 7, 17, 17 and 9? (a) 11 (b) 10 (c) 8 (d) 9
  21. 21.What is the mean of 3, 13, 3, 19 and 12? (a) 10 (b) 11 (c) 9 (d) 12
  22. 22.The mean of 9 numbers is 22. When the number 32 is added to them, what is the new mean? (a) 23 (b) 22 (c) 24 (d) 27
  23. 23.What is the median of 8, 25, 35, 15, 29, 38 and 26? (a) 26 (b) 15 (c) 29 (d) 25
  24. 24.The mean of 7 numbers is 35. When the number 51 is added to them, what is the new mean? (a) 43 (b) 38 (c) 35 (d) 37
  25. 25.What is the mode of 7, 2, 5, 4, 2, 2 and 4? (a) 2 (b) 4 (c) 7 (d) 5
  26. 26.The mean of 3 numbers is 10. When the number 18 is added to them, what is the new mean? (a) 14 (b) 10 (c) 13 (d) 12
  27. 27.What is the mode of 8, 9, 9, 1, 6, 9 and 1? (a) 1 (b) 6 (c) 8 (d) 9
  28. 28.What is the mode of 7, 13, 7, 16, 3, 16 and 7? (a) 13 (b) 16 (c) 3 (d) 7
  29. 29.The mean of 7 numbers is 15. When the number 7 is added to them, what is the new mean? (a) 14 (b) 11 (c) 13 (d) 15
  30. 30.What is the mean of 11, 20, 2, 3 and 9? (a) 10 (b) 9 (c) 11 (d) 8
  31. 31.What is the median of 27, 33, 18, 19, 5, 31 and 35? (a) 19 (b) 24 (c) 27 (d) 31
  32. 32.What is the mode of 17, 8, 2, 6, 6, 2 and 6? (a) 2 (b) 8 (c) 17 (d) 6
  33. 33.The mean of 4 numbers is 25. When the number 5 is added to them, what is the new mean? (a) 21 (b) 22 (c) 15 (d) 25
  34. 34.The mean of 6 numbers is 33. When the number 40 is added to them, what is the new mean? (a) 33 (b) 36 (c) 35 (d) 34
  35. 35.What is the mode of 5, 2, 2, 9, 10, 9 and 2? (a) 9 (b) 2 (c) 10 (d) 5
  36. 36.The mean of 7 numbers is 33. When the number 41 is added to them, what is the new mean? (a) 33 (b) 34 (c) 37 (d) 35
  37. 37.What is the mean of 14, 8, 7, 20 and 21? (a) 14 (b) 15 (c) 13 (d) 16
  38. 38.What is the median of 14, 28, 12, 21 and 11? (a) 15 (b) 21 (c) 14 (d) 12
  39. 39.What is the mean of 18, 18, 3, 16, 18 and 17? (a) 14 (b) 18 (c) 16 (d) 15
  40. 40.What is the median of 14, 16, 4, 1 and 17? (a) 14 (b) 4 (c) 16 (d) 15

Answer key

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

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