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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 785 · 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 34, 16, 15, 30 and 19? (a) 16 (b) 19 (c) 30 (d) 15
  2. 2.What is the mean of 18, 13, 10 and 15? (a) 14 (b) 15 (c) 16 (d) 13
  3. 3.The mean of 7 numbers is 30. When the number 54 is added to them, what is the new mean? (a) 30 (b) 42 (c) 34 (d) 33
  4. 4.What is the mode of 2, 17, 17, 2, 1, 2 and 20? (a) 1 (b) 2 (c) 20 (d) 17
  5. 5.What is the mean of 2, 20, 12, 4 and 7? (a) 10 (b) 11 (c) 9 (d) 8
  6. 6.The mean of 3 numbers is 30. When the number 18 is added to them, what is the new mean? (a) 28 (b) 27 (c) 30 (d) 24
  7. 7.The mean of 9 numbers is 12. When the number 22 is added to them, what is the new mean? (a) 14 (b) 17 (c) 13 (d) 12
  8. 8.The mean of 6 numbers is 33. When the number 26 is added to them, what is the new mean? (a) 31 (b) 33 (c) 34 (d) 32
  9. 9.The mean of 6 numbers is 34. When the number 20 is added to them, what is the new mean? (a) 33 (b) 27 (c) 34 (d) 32
  10. 10.The mean of 6 numbers is 27. When the number 6 is added to them, what is the new mean? (a) 23 (b) 24 (c) 25 (d) 27
  11. 11.What is the mean of 2, 17, 9, 15 and 7? (a) 9 (b) 11 (c) 10 (d) 12
  12. 12.What is the mode of 16, 15, 2, 2, 2, 15 and 7? (a) 16 (b) 7 (c) 15 (d) 2
  13. 13.What is the mean of 14, 6, 11 and 5? (a) 9 (b) 12 (c) 10 (d) 8
  14. 14.The mean of 7 numbers is 25. When the number 17 is added to them, what is the new mean? (a) 21 (b) 25 (c) 23 (d) 24
  15. 15.What is the median of 17, 27, 26, 29, 1, 21 and 30? (a) 26 (b) 27 (c) 21 (d) 29
  16. 16.What is the mean of 8, 9, 3 and 20? (a) 8 (b) 11 (c) 9 (d) 10
  17. 17.What is the median of 1, 8, 11, 16 and 32? (a) 11 (b) 8 (c) 16 (d) 12
  18. 18.What is the mode of 14, 20, 3, 20, 1, 20 and 1? (a) 1 (b) 20 (c) 14 (d) 3
  19. 19.What is the mode of 10, 10, 7, 5, 8, 7 and 7? (a) 8 (b) 7 (c) 10 (d) 5
  20. 20.What is the mode of 12, 2, 12, 8, 4, 12 and 2? (a) 8 (b) 4 (c) 2 (d) 12
  21. 21.What is the median of 18, 33, 11, 21 and 20? (a) 21 (b) 18 (c) 20 (d) 11
  22. 22.What is the mode of 6, 15, 3, 12, 15, 3 and 3? (a) 6 (b) 3 (c) 15 (d) 12
  23. 23.What is the mean of 5, 7, 4, 12 and 22? (a) 12 (b) 10 (c) 9 (d) 11
  24. 24.What is the median of 4, 29, 9, 2, 38, 32 and 13? (a) 9 (b) 13 (c) 2 (d) 29
  25. 25.The mean of 3 numbers is 39. When the number 35 is added to them, what is the new mean? (a) 39 (b) 37 (c) 38 (d) 40
  26. 26.What is the mean of 3, 3, 15, 4, 3 and 14? (a) 9 (b) 7 (c) 8 (d) 6
  27. 27.What is the median of 23, 20, 19, 6 and 8? (a) 8 (b) 18 (c) 20 (d) 19
  28. 28.What is the mode of 19, 12, 19, 18, 19, 10 and 18? (a) 10 (b) 19 (c) 18 (d) 12
  29. 29.The mean of 3 numbers is 13. When the number 25 is added to them, what is the new mean? (a) 19 (b) 16 (c) 13 (d) 17
  30. 30.What is the mean of 18, 9, 15, 9, 17 and 4? (a) 11 (b) 14 (c) 12 (d) 13
  31. 31.The mean of 8 numbers is 38. When the number 20 is added to them, what is the new mean? (a) 29 (b) 37 (c) 38 (d) 36
  32. 32.What is the mean of 12, 20, 12, 19, 2 and 7? (a) 11 (b) 14 (c) 13 (d) 12
  33. 33.The mean of 8 numbers is 32. When the number 23 is added to them, what is the new mean? (a) 30 (b) 33 (c) 32 (d) 31
  34. 34.What is the mean of 11, 9, 5, 2 and 13? (a) 8 (b) 9 (c) 10 (d) 7
  35. 35.The mean of 9 numbers is 38. When the number 8 is added to them, what is the new mean? (a) 23 (b) 38 (c) 36 (d) 35
  36. 36.What is the mode of 13, 16, 17, 16, 13, 19 and 16? (a) 13 (b) 17 (c) 16 (d) 19
  37. 37.The mean of 4 numbers is 19. When the number 29 is added to them, what is the new mean? (a) 19 (b) 22 (c) 21 (d) 24
  38. 38.What is the mode of 4, 3, 2, 8, 4, 3 and 4? (a) 2 (b) 4 (c) 8 (d) 3
  39. 39.What is the mean of 3, 9, 11 and 9? (a) 10 (b) 7 (c) 8 (d) 9
  40. 40.What is the median of 35, 34, 7, 26, 32, 2 and 14? (a) 27 (b) 14 (c) 32 (d) 26

Answer key

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

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