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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 884 · 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 17, 6, 17, 14, 11, 11 and 17? (a) 11 (b) 14 (c) 17 (d) 6
  2. 2.What is the median of 38, 35, 34, 11, 10, 20 and 23? (a) 34 (b) 20 (c) 11 (d) 23
  3. 3.What is the mode of 12, 13, 20, 20, 20, 1 and 12? (a) 1 (b) 12 (c) 20 (d) 13
  4. 4.What is the mode of 5, 20, 17, 17, 8, 8 and 8? (a) 20 (b) 5 (c) 17 (d) 8
  5. 5.What is the mean of 19, 15, 10, 13, 19 and 2? (a) 12 (b) 13 (c) 15 (d) 14
  6. 6.The mean of 7 numbers is 33. When the number 9 is added to them, what is the new mean? (a) 31 (b) 21 (c) 30 (d) 33
  7. 7.What is the mode of 5, 14, 5, 4, 5, 14 and 16? (a) 4 (b) 14 (c) 16 (d) 5
  8. 8.What is the median of 35, 9, 6, 40, 29, 37 and 33? (a) 35 (b) 33 (c) 27 (d) 40
  9. 9.The mean of 7 numbers is 27. When the number 51 is added to them, what is the new mean? (a) 39 (b) 30 (c) 27 (d) 31
  10. 10.What is the mode of 6, 6, 1, 20, 1, 2 and 1? (a) 20 (b) 2 (c) 6 (d) 1
  11. 11.What is the mean of 18, 4, 15 and 7? (a) 12 (b) 10 (c) 13 (d) 11
  12. 12.The mean of 4 numbers is 23. When the number 3 is added to them, what is the new mean? (a) 20 (b) 13 (c) 19 (d) 23
  13. 13.What is the median of 15, 18, 23, 24 and 38? (a) 23 (b) 24 (c) 22 (d) 18
  14. 14.What is the mode of 9, 2, 2, 9, 14, 12 and 9? (a) 2 (b) 9 (c) 14 (d) 12
  15. 15.What is the mean of 5, 12, 19 and 12? (a) 16 (b) 12 (c) 11 (d) 13
  16. 16.What is the mean of 14, 14, 10 and 10? (a) 16 (b) 11 (c) 13 (d) 12
  17. 17.The mean of 3 numbers is 18. When the number 10 is added to them, what is the new mean? (a) 16 (b) 18 (c) 17 (d) 14
  18. 18.What is the mean of 9, 16, 3, 12, 15 and 5? (a) 9 (b) 12 (c) 10 (d) 11
  19. 19.What is the median of 36, 6, 31, 40 and 25? (a) 31 (b) 25 (c) 32 (d) 36
  20. 20.What is the median of 16, 39, 33, 21 and 9? (a) 22 (b) 33 (c) 16 (d) 21
  21. 21.The mean of 6 numbers is 24. When the number 52 is added to them, what is the new mean? (a) 24 (b) 28 (c) 38 (d) 29
  22. 22.What is the mode of 5, 5, 16, 15, 16, 12 and 16? (a) 16 (b) 15 (c) 5 (d) 12
  23. 23.What is the mode of 20, 3, 3, 3, 2, 12 and 12? (a) 12 (b) 2 (c) 20 (d) 3
  24. 24.What is the mode of 12, 1, 12, 3, 18, 3 and 3? (a) 12 (b) 18 (c) 3 (d) 1
  25. 25.What is the mode of 2, 13, 13, 3, 7, 2 and 2? (a) 2 (b) 13 (c) 7 (d) 3
  26. 26.What is the mean of 19, 17, 20, 11 and 18? (a) 16 (b) 18 (c) 17 (d) 19
  27. 27.What is the mean of 12, 3, 7, 14, 20 and 16? (a) 14 (b) 12 (c) 11 (d) 13
  28. 28.What is the median of 28, 35, 5, 36 and 39? (a) 28 (b) 36 (c) 35 (d) 5
  29. 29.What is the median of 35, 10, 2, 23 and 6? (a) 2 (b) 23 (c) 10 (d) 6
  30. 30.What is the mean of 19, 4, 13, 10, 15 and 11? (a) 12 (b) 14 (c) 11 (d) 13
  31. 31.What is the median of 16, 13, 28, 6, 9, 8 and 24? (a) 9 (b) 13 (c) 6 (d) 16
  32. 32.The mean of 7 numbers is 28. When the number 12 is added to them, what is the new mean? (a) 27 (b) 28 (c) 20 (d) 26
  33. 33.The mean of 4 numbers is 31. When the number 41 is added to them, what is the new mean? (a) 34 (b) 33 (c) 31 (d) 36
  34. 34.What is the mean of 20, 11, 4, 9, 7 and 15? (a) 11 (b) 12 (c) 13 (d) 10
  35. 35.What is the mean of 20, 10, 12, 15, 10 and 11? (a) 12 (b) 13 (c) 15 (d) 14
  36. 36.The mean of 8 numbers is 30. When the number 3 is added to them, what is the new mean? (a) 26 (b) 28 (c) 27 (d) 30
  37. 37.What is the mean of 11, 10, 12 and 7? (a) 10 (b) 8 (c) 9 (d) 11
  38. 38.The mean of 3 numbers is 33. When the number 45 is added to them, what is the new mean? (a) 33 (b) 39 (c) 37 (d) 36
  39. 39.What is the mean of 6, 15, 6, 11 and 12? (a) 10 (b) 9 (c) 11 (d) 12
  40. 40.What is the median of 4, 5, 26, 11, 24, 18 and 7? (a) 11 (b) 18 (c) 12 (d) 7

Answer key

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

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