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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 746 · 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, 11, 19, 11 and 8? (a) 10 (b) 11 (c) 12 (d) 13
  2. 2.What is the mode of 15, 15, 14, 14, 19, 8 and 15? (a) 15 (b) 14 (c) 19 (d) 8
  3. 3.What is the median of 14, 24, 17, 34 and 39? (a) 25 (b) 34 (c) 24 (d) 17
  4. 4.What is the mode of 14, 10, 9, 9, 14, 16 and 9? (a) 10 (b) 16 (c) 14 (d) 9
  5. 5.The mean of 7 numbers is 35. When the number 43 is added to them, what is the new mean? (a) 39 (b) 37 (c) 35 (d) 36
  6. 6.The mean of 8 numbers is 36. When the number 72 is added to them, what is the new mean? (a) 41 (b) 40 (c) 36 (d) 54
  7. 7.The mean of 3 numbers is 11. When the number 3 is added to them, what is the new mean? (a) 11 (b) 10 (c) 9 (d) 7
  8. 8.The mean of 8 numbers is 25. When the number 43 is added to them, what is the new mean? (a) 25 (b) 27 (c) 28 (d) 34
  9. 9.The mean of 3 numbers is 12. When the number 8 is added to them, what is the new mean? (a) 10 (b) 12 (c) 13 (d) 11
  10. 10.What is the mode of 11, 1, 7, 8, 1, 7 and 7? (a) 8 (b) 7 (c) 1 (d) 11
  11. 11.What is the median of 32, 39, 5, 27 and 10? (a) 27 (b) 5 (c) 10 (d) 32
  12. 12.What is the median of 5, 11, 40, 26, 21, 1 and 32? (a) 22 (b) 11 (c) 21 (d) 26
  13. 13.What is the median of 5, 35, 38, 11, 1, 21 and 10? (a) 11 (b) 12 (c) 21 (d) 10
  14. 14.The mean of 3 numbers is 15. When the number 11 is added to them, what is the new mean? (a) 14 (b) 16 (c) 13 (d) 15
  15. 15.What is the median of 5, 21, 31, 29, 17, 11 and 10? (a) 11 (b) 29 (c) 17 (d) 21
  16. 16.The mean of 7 numbers is 37. When the number 53 is added to them, what is the new mean? (a) 40 (b) 39 (c) 37 (d) 45
  17. 17.What is the mean of 8, 2, 10, 18 and 17? (a) 12 (b) 13 (c) 11 (d) 10
  18. 18.What is the median of 14, 3, 18, 28 and 34? (a) 19 (b) 18 (c) 14 (d) 28
  19. 19.What is the mode of 13, 13, 3, 1, 3, 12 and 13? (a) 1 (b) 3 (c) 12 (d) 13
  20. 20.What is the median of 21, 18, 11, 37 and 9? (a) 21 (b) 18 (c) 11 (d) 19
  21. 21.What is the median of 5, 40, 18, 21, 20, 24 and 39? (a) 22 (b) 24 (c) 21 (d) 20
  22. 22.What is the mode of 18, 18, 10, 10, 18, 20 and 14? (a) 20 (b) 14 (c) 10 (d) 18
  23. 23.What is the mean of 19, 19, 9, 2 and 21? (a) 16 (b) 13 (c) 14 (d) 15
  24. 24.What is the mean of 15, 12, 2, 7 and 9? (a) 11 (b) 10 (c) 8 (d) 9
  25. 25.The mean of 6 numbers is 16. When the number 30 is added to them, what is the new mean? (a) 23 (b) 16 (c) 18 (d) 19
  26. 26.What is the mode of 1, 20, 12, 17, 17, 1 and 1? (a) 12 (b) 20 (c) 17 (d) 1
  27. 27.What is the median of 22, 26, 17, 35, 28, 21 and 19? (a) 22 (b) 35 (c) 24 (d) 26
  28. 28.The mean of 8 numbers is 21. When the number 3 is added to them, what is the new mean? (a) 12 (b) 20 (c) 19 (d) 21
  29. 29.What is the median of 12, 27, 11, 22 and 8? (a) 11 (b) 22 (c) 16 (d) 12
  30. 30.The mean of 4 numbers is 29. When the number 9 is added to them, what is the new mean? (a) 25 (b) 29 (c) 26 (d) 19
  31. 31.What is the median of 10, 4, 11, 24, 17, 5 and 8? (a) 8 (b) 10 (c) 24 (d) 11
  32. 32.What is the median of 7, 10, 31, 39, 2, 13 and 11? (a) 10 (b) 13 (c) 39 (d) 11
  33. 33.The mean of 7 numbers is 14. When the number 46 is added to them, what is the new mean? (a) 19 (b) 30 (c) 18 (d) 14
  34. 34.The mean of 4 numbers is 34. When the number 29 is added to them, what is the new mean? (a) 32 (b) 33 (c) 35 (d) 34
  35. 35.What is the mean of 17, 10, 8, 8, 19 and 22? (a) 14 (b) 15 (c) 12 (d) 13
  36. 36.What is the mode of 9, 6, 9, 1, 7, 6 and 9? (a) 9 (b) 7 (c) 6 (d) 1
  37. 37.What is the mean of 12, 17, 8, 7, 20 and 8? (a) 11 (b) 12 (c) 14 (d) 13
  38. 38.The mean of 8 numbers is 17. When the number 35 is added to them, what is the new mean? (a) 26 (b) 19 (c) 20 (d) 17
  39. 39.What is the mean of 5, 9, 20, 10 and 11? (a) 10 (b) 11 (c) 13 (d) 12
  40. 40.The mean of 3 numbers is 20. When the number 16 is added to them, what is the new mean? (a) 21 (b) 18 (c) 19 (d) 20

Answer key

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

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