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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 651 · 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 12, 19, 17, 10, 8 and 18? (a) 12 (b) 15 (c) 13 (d) 14
  2. 2.What is the median of 16, 7, 17, 28 and 9? (a) 17 (b) 9 (c) 15 (d) 16
  3. 3.The mean of 7 numbers is 14. When the number 22 is added to them, what is the new mean? (a) 18 (b) 15 (c) 16 (d) 14
  4. 4.What is the mode of 20, 9, 10, 10, 20, 16 and 10? (a) 16 (b) 10 (c) 9 (d) 20
  5. 5.What is the mode of 6, 13, 19, 19, 6, 19 and 4? (a) 6 (b) 13 (c) 19 (d) 4
  6. 6.What is the median of 32, 25, 17, 18 and 27? (a) 18 (b) 17 (c) 25 (d) 27
  7. 7.What is the median of 12, 6, 31, 17 and 38? (a) 12 (b) 18 (c) 17 (d) 31
  8. 8.What is the mode of 8, 8, 3, 8, 2, 7 and 2? (a) 3 (b) 2 (c) 7 (d) 8
  9. 9.What is the mean of 3, 3, 15, 15, 7 and 11? (a) 8 (b) 10 (c) 9 (d) 11
  10. 10.The mean of 8 numbers is 25. When the number 34 is added to them, what is the new mean? (a) 27 (b) 25 (c) 28 (d) 26
  11. 11.What is the median of 29, 11, 30, 17 and 19? (a) 30 (b) 17 (c) 29 (d) 19
  12. 12.What is the median of 1, 13, 10, 24 and 16? (a) 16 (b) 10 (c) 13 (d) 14
  13. 13.What is the mode of 4, 20, 16, 20, 4, 4 and 11? (a) 11 (b) 16 (c) 20 (d) 4
  14. 14.What is the median of 18, 2, 37, 25 and 27? (a) 18 (b) 25 (c) 27 (d) 37
  15. 15.What is the mean of 20, 14, 9, 15, 19 and 13? (a) 14 (b) 18 (c) 16 (d) 15
  16. 16.The mean of 5 numbers is 34. When the number 16 is added to them, what is the new mean? (a) 34 (b) 32 (c) 25 (d) 31
  17. 17.What is the median of 24, 4, 31, 25 and 30? (a) 30 (b) 24 (c) 31 (d) 25
  18. 18.What is the median of 5, 8, 14, 29, 13, 27 and 23? (a) 17 (b) 23 (c) 29 (d) 14
  19. 19.What is the mean of 3, 10, 11, 9, 5 and 16? (a) 9 (b) 11 (c) 8 (d) 10
  20. 20.What is the mean of 3, 15, 2, 4 and 6? (a) 5 (b) 6 (c) 8 (d) 7
  21. 21.What is the mean of 5, 10, 5, 4, 12 and 6? (a) 8 (b) 7 (c) 6 (d) 9
  22. 22.What is the mean of 20, 17, 13 and 2? (a) 14 (b) 15 (c) 12 (d) 13
  23. 23.The mean of 4 numbers is 27. When the number 22 is added to them, what is the new mean? (a) 28 (b) 26 (c) 25 (d) 27
  24. 24.What is the mode of 9, 9, 1, 9, 11, 5 and 1? (a) 11 (b) 9 (c) 5 (d) 1
  25. 25.What is the mode of 16, 4, 11, 4, 15, 11 and 4? (a) 16 (b) 4 (c) 11 (d) 15
  26. 26.The mean of 3 numbers is 34. When the number 46 is added to them, what is the new mean? (a) 37 (b) 40 (c) 38 (d) 34
  27. 27.What is the median of 17, 36, 10, 6 and 34? (a) 34 (b) 17 (c) 18 (d) 10
  28. 28.What is the median of 9, 35, 15, 5, 17, 31 and 24? (a) 24 (b) 5 (c) 17 (d) 15
  29. 29.What is the mode of 3, 7, 7, 4, 4, 19 and 4? (a) 3 (b) 7 (c) 19 (d) 4
  30. 30.The mean of 6 numbers is 19. When the number 26 is added to them, what is the new mean? (a) 21 (b) 19 (c) 20 (d) 22
  31. 31.The mean of 9 numbers is 11. When the number 41 is added to them, what is the new mean? (a) 15 (b) 11 (c) 14 (d) 26
  32. 32.What is the median of 40, 32, 30, 5 and 39? (a) 39 (b) 32 (c) 33 (d) 30
  33. 33.What is the median of 33, 17, 14, 12 and 20? (a) 18 (b) 14 (c) 17 (d) 20
  34. 34.What is the median of 18, 5, 13, 11, 4, 25 and 14? (a) 11 (b) 14 (c) 13 (d) 12
  35. 35.What is the mode of 12, 10, 8, 3, 8, 8 and 10? (a) 10 (b) 8 (c) 12 (d) 3
  36. 36.The mean of 5 numbers is 23. When the number 11 is added to them, what is the new mean? (a) 17 (b) 21 (c) 23 (d) 22
  37. 37.What is the mean of 3, 18, 12 and 7? (a) 11 (b) 10 (c) 8 (d) 9
  38. 38.What is the mean of 2, 18, 20, 15 and 20? (a) 14 (b) 17 (c) 16 (d) 15
  39. 39.The mean of 4 numbers is 11. When the number 1 is added to them, what is the new mean? (a) 10 (b) 6 (c) 9 (d) 11
  40. 40.What is the median of 3, 35, 29, 32 and 5? (a) 5 (b) 30 (c) 32 (d) 29

Answer key

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

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