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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 483 · 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 11, 37, 19, 1, 28, 8 and 29? (a) 28 (b) 11 (c) 1 (d) 19
  2. 2.The mean of 3 numbers is 24. When the number 16 is added to them, what is the new mean? (a) 20 (b) 23 (c) 24 (d) 22
  3. 3.What is the mode of 17, 17, 5, 10, 13, 13 and 17? (a) 13 (b) 17 (c) 5 (d) 10
  4. 4.The mean of 8 numbers is 38. When the number 74 is added to them, what is the new mean? (a) 42 (b) 38 (c) 43 (d) 56
  5. 5.What is the median of 23, 17, 28, 16, 19, 9 and 37? (a) 16 (b) 23 (c) 19 (d) 17
  6. 6.What is the mode of 10, 4, 1, 10, 1, 5 and 10? (a) 10 (b) 5 (c) 1 (d) 4
  7. 7.What is the median of 15, 33, 30, 37, 5, 38 and 17? (a) 30 (b) 33 (c) 37 (d) 25
  8. 8.The mean of 3 numbers is 26. When the number 30 is added to them, what is the new mean? (a) 29 (b) 27 (c) 26 (d) 28
  9. 9.What is the mean of 10, 14, 20, 9, 13 and 6? (a) 13 (b) 11 (c) 14 (d) 12
  10. 10.What is the mean of 6, 2, 3 and 13? (a) 8 (b) 7 (c) 5 (d) 6
  11. 11.What is the mean of 2, 9, 13 and 16? (a) 11 (b) 9 (c) 10 (d) 8
  12. 12.What is the mean of 4, 4, 8 and 8? (a) 7 (b) 8 (c) 6 (d) 5
  13. 13.The mean of 3 numbers is 38. When the number 26 is added to them, what is the new mean? (a) 35 (b) 36 (c) 32 (d) 38
  14. 14.What is the mean of 20, 6, 6, 14, 7 and 7? (a) 11 (b) 10 (c) 9 (d) 12
  15. 15.What is the mean of 17, 5, 7 and 7? (a) 8 (b) 9 (c) 10 (d) 12
  16. 16.What is the mode of 2, 15, 20, 9, 15, 9 and 15? (a) 15 (b) 9 (c) 20 (d) 2
  17. 17.What is the mean of 19, 17, 19, 11 and 9? (a) 16 (b) 15 (c) 17 (d) 14
  18. 18.What is the mean of 4, 17, 13, 9, 11 and 6? (a) 9 (b) 11 (c) 12 (d) 10
  19. 19.The mean of 8 numbers is 31. When the number 22 is added to them, what is the new mean? (a) 29 (b) 32 (c) 31 (d) 30
  20. 20.What is the median of 14, 8, 37, 21 and 10? (a) 21 (b) 18 (c) 37 (d) 14
  21. 21.What is the median of 39, 19, 21, 5 and 1? (a) 17 (b) 19 (c) 21 (d) 5
  22. 22.What is the mean of 7, 9, 6 and 10? (a) 7 (b) 9 (c) 10 (d) 8
  23. 23.What is the mode of 15, 17, 15, 5, 12, 12 and 12? (a) 12 (b) 5 (c) 17 (d) 15
  24. 24.The mean of 4 numbers is 13. When the number 23 is added to them, what is the new mean? (a) 16 (b) 15 (c) 13 (d) 18
  25. 25.What is the median of 6, 15, 40, 13, 25, 7 and 5? (a) 14 (b) 15 (c) 7 (d) 13
  26. 26.The mean of 9 numbers is 22. When the number 62 is added to them, what is the new mean? (a) 42 (b) 22 (c) 26 (d) 27
  27. 27.What is the mode of 8, 8, 18, 8, 3, 18 and 12? (a) 3 (b) 8 (c) 18 (d) 12
  28. 28.What is the median of 6, 26, 39, 7 and 38? (a) 39 (b) 7 (c) 38 (d) 26
  29. 29.What is the mean of 3, 12, 14, 14, 17 and 6? (a) 12 (b) 10 (c) 11 (d) 13
  30. 30.What is the mode of 18, 4, 12, 13, 13, 18 and 13? (a) 12 (b) 13 (c) 18 (d) 4
  31. 31.What is the median of 25, 27, 18, 30 and 4? (a) 18 (b) 27 (c) 26 (d) 25
  32. 32.What is the mode of 4, 17, 17, 3, 17, 16 and 16? (a) 17 (b) 4 (c) 3 (d) 16
  33. 33.What is the mode of 4, 20, 20, 4, 17, 20 and 5? (a) 4 (b) 20 (c) 5 (d) 17
  34. 34.What is the median of 10, 16, 17, 7, 2, 9 and 25? (a) 7 (b) 10 (c) 16 (d) 9
  35. 35.What is the mode of 2, 17, 17, 3, 16, 2 and 2? (a) 16 (b) 17 (c) 2 (d) 3
  36. 36.What is the mean of 9, 6, 9, 4, 2 and 6? (a) 6 (b) 7 (c) 5 (d) 8
  37. 37.What is the mode of 2, 18, 2, 2, 4, 14 and 18? (a) 4 (b) 2 (c) 18 (d) 14
  38. 38.What is the mode of 2, 3, 2, 4, 3, 2 and 19? (a) 3 (b) 2 (c) 19 (d) 4
  39. 39.What is the mode of 10, 8, 7, 1, 1, 10 and 1? (a) 7 (b) 10 (c) 1 (d) 8
  40. 40.The mean of 7 numbers is 34. When the number 10 is added to them, what is the new mean? (a) 22 (b) 31 (c) 34 (d) 32

Answer key

  1. 19
  2. 22
  3. 17
  4. 42
  5. 19
  6. 10
  7. 30
  8. 27
  9. 12
  10. 6
  11. 10
  12. 6
  13. 35
  14. 10
  15. 9
  16. 15
  17. 15
  18. 10
  19. 30
  20. 14
  21. 19
  22. 8
  23. 12
  24. 15
  25. 13
  26. 26
  27. 8
  28. 26
  29. 11
  30. 13
  31. 25
  32. 17
  33. 20
  34. 10
  35. 2
  36. 6
  37. 2
  38. 2
  39. 1
  40. 31

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