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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 126 · 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 mode of 2, 7, 2, 2, 14, 14 and 4? (a) 14 (b) 7 (c) 2 (d) 4
  2. 2.What is the mean of 9, 20, 20, 2 and 14? (a) 14 (b) 15 (c) 12 (d) 13
  3. 3.What is the median of 37, 16, 13, 22, 10, 34 and 17? (a) 22 (b) 16 (c) 18 (d) 17
  4. 4.The mean of 6 numbers is 15. When the number 29 is added to them, what is the new mean? (a) 15 (b) 18 (c) 22 (d) 17
  5. 5.What is the median of 3, 25, 19, 24 and 31? (a) 19 (b) 24 (c) 25 (d) 23
  6. 6.What is the mean of 20, 20, 8, 11, 5 and 8? (a) 14 (b) 13 (c) 12 (d) 11
  7. 7.What is the mean of 15, 5, 16, 5 and 4? (a) 10 (b) 9 (c) 11 (d) 8
  8. 8.What is the median of 11, 34, 25, 32 and 31? (a) 31 (b) 30 (c) 25 (d) 32
  9. 9.What is the mean of 16, 2, 9, 13 and 10? (a) 12 (b) 10 (c) 11 (d) 9
  10. 10.What is the median of 32, 3, 25, 17 and 21? (a) 22 (b) 25 (c) 21 (d) 17
  11. 11.What is the mean of 6, 9, 11, 18 and 21? (a) 15 (b) 14 (c) 12 (d) 13
  12. 12.What is the mode of 13, 7, 13, 13, 12, 17 and 17? (a) 13 (b) 12 (c) 7 (d) 17
  13. 13.The mean of 3 numbers is 21. When the number 25 is added to them, what is the new mean? (a) 21 (b) 22 (c) 23 (d) 24
  14. 14.The mean of 3 numbers is 29. When the number 33 is added to them, what is the new mean? (a) 31 (b) 29 (c) 32 (d) 30
  15. 15.What is the mean of 19, 18, 10, 8 and 10? (a) 13 (b) 12 (c) 15 (d) 14
  16. 16.The mean of 5 numbers is 20. When the number 2 is added to them, what is the new mean? (a) 11 (b) 20 (c) 18 (d) 17
  17. 17.The mean of 7 numbers is 26. When the number 34 is added to them, what is the new mean? (a) 30 (b) 28 (c) 27 (d) 26
  18. 18.What is the median of 10, 11, 14, 24 and 27? (a) 24 (b) 14 (c) 11 (d) 15
  19. 19.What is the mean of 17, 5, 2, 5, 3 and 16? (a) 8 (b) 10 (c) 9 (d) 7
  20. 20.What is the mean of 13, 17, 11, 8 and 6? (a) 13 (b) 10 (c) 11 (d) 12
  21. 21.What is the mode of 9, 2, 20, 9, 16, 2 and 9? (a) 16 (b) 20 (c) 2 (d) 9
  22. 22.The mean of 6 numbers is 21. When the number 49 is added to them, what is the new mean? (a) 26 (b) 25 (c) 21 (d) 35
  23. 23.What is the mode of 9, 1, 13, 9, 13, 2 and 13? (a) 1 (b) 2 (c) 9 (d) 13
  24. 24.The mean of 4 numbers is 17. When the number 27 is added to them, what is the new mean? (a) 22 (b) 17 (c) 20 (d) 19
  25. 25.What is the mode of 14, 9, 19, 9, 14, 9 and 13? (a) 14 (b) 19 (c) 9 (d) 13
  26. 26.What is the mean of 5, 3, 19, 4 and 19? (a) 11 (b) 9 (c) 10 (d) 12
  27. 27.What is the median of 34, 4, 17, 28, 10, 9 and 2? (a) 9 (b) 10 (c) 17 (d) 28
  28. 28.What is the mean of 7, 13, 12 and 8? (a) 8 (b) 11 (c) 10 (d) 9
  29. 29.What is the mean of 8, 20, 2 and 6? (a) 10 (b) 12 (c) 9 (d) 8
  30. 30.What is the median of 12, 22, 34, 13 and 29? (a) 34 (b) 13 (c) 22 (d) 29
  31. 31.What is the mean of 12, 6, 4 and 14? (a) 8 (b) 12 (c) 9 (d) 10
  32. 32.The mean of 4 numbers is 18. When the number 8 is added to them, what is the new mean? (a) 16 (b) 17 (c) 13 (d) 18
  33. 33.The mean of 7 numbers is 10. When the number 2 is added to them, what is the new mean? (a) 8 (b) 10 (c) 9 (d) 6
  34. 34.What is the mean of 8, 3, 2, 14 and 18? (a) 9 (b) 8 (c) 10 (d) 11
  35. 35.What is the mean of 10, 13, 19 and 2? (a) 12 (b) 10 (c) 13 (d) 11
  36. 36.The mean of 3 numbers is 13. When the number 17 is added to them, what is the new mean? (a) 15 (b) 16 (c) 13 (d) 14
  37. 37.What is the mode of 4, 3, 9, 1, 3, 1 and 3? (a) 1 (b) 9 (c) 4 (d) 3
  38. 38.What is the mean of 16, 16, 5 and 3? (a) 9 (b) 8 (c) 10 (d) 11
  39. 39.The mean of 3 numbers is 10. When the number 14 is added to them, what is the new mean? (a) 11 (b) 13 (c) 10 (d) 12
  40. 40.What is the mean of 20, 3, 8, 12 and 7? (a) 9 (b) 12 (c) 11 (d) 10

Answer key

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

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