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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 213 · 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, 11 and 10? (a) 7 (b) 10 (c) 9 (d) 8
  2. 2.What is the mean of 9, 5, 20 and 6? (a) 11 (b) 10 (c) 9 (d) 8
  3. 3.What is the median of 12, 7, 22, 4, 26, 28 and 11? (a) 12 (b) 22 (c) 11 (d) 4
  4. 4.The mean of 5 numbers is 27. When the number 3 is added to them, what is the new mean? (a) 27 (b) 15 (c) 24 (d) 23
  5. 5.The mean of 7 numbers is 33. When the number 17 is added to them, what is the new mean? (a) 33 (b) 31 (c) 25 (d) 32
  6. 6.What is the mode of 2, 14, 16, 14, 14, 2 and 20? (a) 16 (b) 2 (c) 14 (d) 20
  7. 7.What is the median of 15, 11, 10, 16, 14, 23 and 1? (a) 14 (b) 11 (c) 15 (d) 16
  8. 8.The mean of 3 numbers is 26. When the number 42 is added to them, what is the new mean? (a) 26 (b) 34 (c) 30 (d) 31
  9. 9.What is the mean of 5, 13, 4 and 14? (a) 8 (b) 12 (c) 10 (d) 9
  10. 10.What is the mean of 15, 8, 2 and 3? (a) 6 (b) 9 (c) 7 (d) 8
  11. 11.What is the mean of 12, 6, 8, 6 and 18? (a) 11 (b) 10 (c) 12 (d) 9
  12. 12.The mean of 8 numbers is 32. When the number 41 is added to them, what is the new mean? (a) 35 (b) 33 (c) 34 (d) 32
  13. 13.The mean of 6 numbers is 30. When the number 58 is added to them, what is the new mean? (a) 44 (b) 35 (c) 34 (d) 30
  14. 14.What is the median of 25, 11, 5, 38, 1, 13 and 30? (a) 13 (b) 11 (c) 38 (d) 25
  15. 15.The mean of 9 numbers is 34. When the number 14 is added to them, what is the new mean? (a) 24 (b) 32 (c) 33 (d) 34
  16. 16.What is the mean of 4, 9, 13 and 14? (a) 8 (b) 10 (c) 9 (d) 11
  17. 17.What is the mean of 18, 6, 9, 5, 2 and 2? (a) 9 (b) 8 (c) 7 (d) 6
  18. 18.What is the mean of 11, 2, 2 and 5? (a) 6 (b) 5 (c) 4 (d) 7
  19. 19.What is the mean of 4, 6, 2, 20, 7 and 15? (a) 9 (b) 10 (c) 8 (d) 11
  20. 20.What is the mode of 13, 2, 13, 13, 1, 8 and 1? (a) 1 (b) 2 (c) 8 (d) 13
  21. 21.What is the median of 7, 15, 3, 39 and 36? (a) 3 (b) 20 (c) 15 (d) 36
  22. 22.The mean of 9 numbers is 18. When the number 28 is added to them, what is the new mean? (a) 18 (b) 20 (c) 19 (d) 23
  23. 23.What is the mode of 7, 10, 7, 7, 3, 9 and 9? (a) 9 (b) 10 (c) 7 (d) 3
  24. 24.What is the mean of 7, 15, 8 and 14? (a) 11 (b) 10 (c) 13 (d) 12
  25. 25.What is the mode of 6, 20, 13, 6, 9, 6 and 13? (a) 13 (b) 9 (c) 6 (d) 20
  26. 26.What is the mean of 11, 3, 10 and 4? (a) 9 (b) 6 (c) 8 (d) 7
  27. 27.What is the median of 26, 28, 27, 37, 39, 3 and 7? (a) 27 (b) 28 (c) 26 (d) 37
  28. 28.What is the median of 1, 13, 19, 3 and 8? (a) 19 (b) 8 (c) 3 (d) 13
  29. 29.What is the median of 40, 33, 34, 6 and 28? (a) 28 (b) 32 (c) 34 (d) 33
  30. 30.What is the mode of 5, 3, 1, 3, 5, 15 and 3? (a) 1 (b) 15 (c) 5 (d) 3
  31. 31.What is the median of 9, 30, 6, 40, 11, 31 and 38? (a) 11 (b) 30 (c) 31 (d) 40
  32. 32.The mean of 8 numbers is 33. When the number 24 is added to them, what is the new mean? (a) 32 (b) 31 (c) 34 (d) 33
  33. 33.What is the mean of 16, 15, 12, 4, 2 and 5? (a) 10 (b) 11 (c) 9 (d) 8
  34. 34.What is the mean of 17, 10, 12, 6, 17 and 16? (a) 14 (b) 15 (c) 12 (d) 13
  35. 35.What is the mean of 12, 12, 9, 2 and 5? (a) 7 (b) 8 (c) 9 (d) 10
  36. 36.What is the median of 12, 4, 20, 17, 9, 11 and 34? (a) 17 (b) 13 (c) 12 (d) 11
  37. 37.What is the mean of 15, 12, 7, 13, 11 and 8? (a) 13 (b) 10 (c) 12 (d) 11
  38. 38.What is the mode of 17, 5, 5, 18, 19, 19 and 19? (a) 19 (b) 18 (c) 5 (d) 17
  39. 39.What is the mode of 16, 3, 20, 3, 20, 20 and 7? (a) 16 (b) 3 (c) 7 (d) 20
  40. 40.The mean of 9 numbers is 27. When the number 37 is added to them, what is the new mean? (a) 29 (b) 32 (c) 27 (d) 28

Answer key

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

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