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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 275 · 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 11, 20, 11, 11, 1, 20 and 3? (a) 20 (b) 11 (c) 3 (d) 1
  2. 2.What is the mean of 13, 20, 17, 14, 10 and 16? (a) 18 (b) 16 (c) 14 (d) 15
  3. 3.What is the median of 19, 17, 10, 28 and 24? (a) 17 (b) 19 (c) 10 (d) 24
  4. 4.What is the mode of 17, 6, 17, 17, 2, 6 and 7? (a) 2 (b) 7 (c) 6 (d) 17
  5. 5.What is the mode of 6, 13, 7, 13, 7, 7 and 8? (a) 8 (b) 7 (c) 6 (d) 13
  6. 6.What is the median of 40, 10, 27, 30, 28, 36 and 3? (a) 28 (b) 30 (c) 29 (d) 27
  7. 7.What is the mean of 5, 16, 16, 15 and 18? (a) 14 (b) 15 (c) 16 (d) 13
  8. 8.What is the mean of 8, 20, 2 and 18? (a) 13 (b) 11 (c) 16 (d) 12
  9. 9.What is the median of 8, 35, 20, 7 and 17? (a) 20 (b) 17 (c) 18 (d) 8
  10. 10.What is the mean of 2, 8, 12, 17 and 6? (a) 8 (b) 11 (c) 10 (d) 9
  11. 11.What is the median of 10, 36, 6, 23, 25, 3 and 34? (a) 23 (b) 25 (c) 24 (d) 10
  12. 12.The mean of 8 numbers is 15. When the number 33 is added to them, what is the new mean? (a) 18 (b) 15 (c) 17 (d) 24
  13. 13.What is the median of 19, 25, 34, 24 and 16? (a) 34 (b) 24 (c) 19 (d) 25
  14. 14.What is the mean of 17, 11, 20 and 20? (a) 16 (b) 19 (c) 18 (d) 17
  15. 15.The mean of 6 numbers is 13. When the number 6 is added to them, what is the new mean? (a) 14 (b) 11 (c) 13 (d) 12
  16. 16.What is the mode of 18, 16, 17, 12, 17, 17 and 18? (a) 17 (b) 16 (c) 12 (d) 18
  17. 17.What is the mode of 20, 20, 5, 20, 4, 3 and 3? (a) 5 (b) 4 (c) 3 (d) 20
  18. 18.What is the median of 1, 35, 9, 11 and 10? (a) 9 (b) 10 (c) 11 (d) 12
  19. 19.What is the mean of 6, 5, 11, 17, 4 and 11? (a) 8 (b) 9 (c) 10 (d) 11
  20. 20.What is the mean of 12, 4, 2, 6 and 6? (a) 8 (b) 7 (c) 5 (d) 6
  21. 21.What is the median of 7, 34, 5, 11 and 36? (a) 11 (b) 34 (c) 7 (d) 5
  22. 22.The mean of 4 numbers is 30. When the number 10 is added to them, what is the new mean? (a) 20 (b) 26 (c) 30 (d) 27
  23. 23.What is the median of 19, 2, 8, 36, 39, 25 and 18? (a) 36 (b) 25 (c) 19 (d) 21
  24. 24.What is the mode of 1, 15, 1, 16, 3, 16 and 16? (a) 16 (b) 3 (c) 15 (d) 1
  25. 25.What is the mean of 4, 15, 7 and 22? (a) 12 (b) 13 (c) 16 (d) 11
  26. 26.What is the median of 10, 29, 16, 36 and 3? (a) 17 (b) 16 (c) 10 (d) 29
  27. 27.The mean of 7 numbers is 36. When the number 12 is added to them, what is the new mean? (a) 36 (b) 34 (c) 24 (d) 33
  28. 28.The mean of 6 numbers is 27. When the number 13 is added to them, what is the new mean? (a) 27 (b) 26 (c) 20 (d) 25
  29. 29.What is the mean of 16, 2, 20, 7, 14 and 7? (a) 11 (b) 12 (c) 10 (d) 13
  30. 30.What is the mode of 19, 15, 19, 19, 15, 10 and 1? (a) 1 (b) 10 (c) 19 (d) 15
  31. 31.What is the mean of 14, 13, 4 and 9? (a) 8 (b) 9 (c) 11 (d) 10
  32. 32.What is the mean of 17, 15, 13 and 19? (a) 17 (b) 15 (c) 16 (d) 18
  33. 33.What is the mode of 9, 9, 5, 10, 6, 10 and 9? (a) 6 (b) 9 (c) 5 (d) 10
  34. 34.What is the mode of 20, 16, 1, 16, 20, 16 and 14? (a) 20 (b) 14 (c) 16 (d) 1
  35. 35.What is the median of 34, 19, 8, 4, 17, 6 and 10? (a) 17 (b) 10 (c) 4 (d) 14
  36. 36.What is the mean of 7, 12, 20, 12 and 14? (a) 13 (b) 12 (c) 14 (d) 15
  37. 37.What is the mean of 9, 15, 2 and 18? (a) 12 (b) 13 (c) 11 (d) 10
  38. 38.What is the mode of 6, 6, 6, 1, 9, 16 and 16? (a) 9 (b) 6 (c) 16 (d) 1
  39. 39.What is the mode of 18, 17, 18, 15, 12, 12 and 12? (a) 15 (b) 12 (c) 17 (d) 18
  40. 40.The mean of 6 numbers is 29. When the number 50 is added to them, what is the new mean? (a) 32 (b) 33 (c) 31 (d) 29

Answer key

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

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