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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 91 · 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 17, 15, 17, 14, 14 and 13? (a) 15 (b) 16 (c) 18 (d) 14
  2. 2.The mean of 3 numbers is 31. When the number 27 is added to them, what is the new mean? (a) 29 (b) 32 (c) 31 (d) 30
  3. 3.The mean of 6 numbers is 39. When the number 11 is added to them, what is the new mean? (a) 25 (b) 35 (c) 39 (d) 36
  4. 4.What is the median of 6, 30, 32, 13, 10, 24 and 4? (a) 24 (b) 10 (c) 13 (d) 17
  5. 5.What is the median of 27, 28, 35, 8, 26, 39 and 12? (a) 27 (b) 8 (c) 28 (d) 25
  6. 6.What is the mode of 11, 19, 11, 12, 14, 11 and 14? (a) 12 (b) 11 (c) 14 (d) 19
  7. 7.What is the mean of 5, 15, 9 and 7? (a) 12 (b) 9 (c) 8 (d) 10
  8. 8.What is the median of 1, 31, 23, 15 and 28? (a) 15 (b) 28 (c) 24 (d) 23
  9. 9.The mean of 7 numbers is 40. When the number 48 is added to them, what is the new mean? (a) 42 (b) 40 (c) 41 (d) 44
  10. 10.The mean of 7 numbers is 33. When the number 65 is added to them, what is the new mean? (a) 49 (b) 37 (c) 38 (d) 33
  11. 11.The mean of 6 numbers is 31. When the number 52 is added to them, what is the new mean? (a) 35 (b) 34 (c) 33 (d) 31
  12. 12.What is the median of 17, 9, 39, 10, 16, 38 and 13? (a) 10 (b) 13 (c) 17 (d) 16
  13. 13.What is the median of 36, 10, 25, 20 and 33? (a) 20 (b) 33 (c) 25 (d) 26
  14. 14.The mean of 5 numbers is 10. When the number 22 is added to them, what is the new mean? (a) 16 (b) 10 (c) 12 (d) 13
  15. 15.What is the median of 13, 4, 28, 21, 27, 34 and 6? (a) 19 (b) 13 (c) 27 (d) 21
  16. 16.The mean of 4 numbers is 34. When the number 19 is added to them, what is the new mean? (a) 32 (b) 34 (c) 30 (d) 31
  17. 17.The mean of 8 numbers is 10. When the number 28 is added to them, what is the new mean? (a) 12 (b) 19 (c) 10 (d) 13
  18. 18.What is the mean of 14, 14, 10, 17, 7 and 16? (a) 12 (b) 14 (c) 15 (d) 13
  19. 19.What is the median of 26, 31, 9, 38 and 32? (a) 9 (b) 31 (c) 26 (d) 32
  20. 20.What is the median of 7, 12, 31, 11, 6, 27 and 21? (a) 21 (b) 13 (c) 11 (d) 12
  21. 21.What is the median of 11, 5, 40, 22 and 19? (a) 40 (b) 19 (c) 22 (d) 11
  22. 22.What is the mean of 16, 17, 12, 15, 2 and 22? (a) 13 (b) 12 (c) 14 (d) 15
  23. 23.The mean of 3 numbers is 35. When the number 47 is added to them, what is the new mean? (a) 41 (b) 39 (c) 38 (d) 35
  24. 24.What is the mean of 13, 16, 7, 7, 2 and 15? (a) 11 (b) 12 (c) 9 (d) 10
  25. 25.The mean of 7 numbers is 40. When the number 16 is added to them, what is the new mean? (a) 28 (b) 40 (c) 38 (d) 37
  26. 26.The mean of 6 numbers is 20. When the number 34 is added to them, what is the new mean? (a) 22 (b) 23 (c) 20 (d) 27
  27. 27.The mean of 6 numbers is 10. When the number 3 is added to them, what is the new mean? (a) 10 (b) 9 (c) 11 (d) 8
  28. 28.What is the median of 17, 21, 35, 12, 5, 23 and 32? (a) 17 (b) 12 (c) 23 (d) 21
  29. 29.What is the mode of 4, 11, 11, 4, 12, 17 and 11? (a) 17 (b) 4 (c) 11 (d) 12
  30. 30.What is the mean of 5, 3, 11, 7, 18 and 10? (a) 10 (b) 8 (c) 9 (d) 11
  31. 31.What is the mode of 14, 18, 16, 14, 20, 18 and 18? (a) 14 (b) 16 (c) 20 (d) 18
  32. 32.What is the mode of 8, 5, 6, 7, 5, 5 and 6? (a) 6 (b) 7 (c) 8 (d) 5
  33. 33.What is the mean of 2, 9, 6, 10 and 23? (a) 10 (b) 12 (c) 9 (d) 11
  34. 34.What is the mean of 10, 20, 3 and 7? (a) 8 (b) 11 (c) 10 (d) 9
  35. 35.What is the median of 30, 29, 24, 23 and 5? (a) 23 (b) 29 (c) 24 (d) 25
  36. 36.What is the median of 26, 24, 13, 5, 38, 36 and 25? (a) 24 (b) 25 (c) 26 (d) 5
  37. 37.What is the mean of 4, 8, 10, 11 and 12? (a) 10 (b) 8 (c) 9 (d) 11
  38. 38.The mean of 4 numbers is 21. When the number 1 is added to them, what is the new mean? (a) 18 (b) 17 (c) 11 (d) 21
  39. 39.What is the median of 11, 13, 30, 36 and 33? (a) 33 (b) 30 (c) 31 (d) 13
  40. 40.The mean of 7 numbers is 33. When the number 41 is added to them, what is the new mean? (a) 35 (b) 34 (c) 33 (d) 37

Answer key

  1. 15
  2. 30
  3. 35
  4. 13
  5. 27
  6. 11
  7. 9
  8. 23
  9. 41
  10. 37
  11. 34
  12. 16
  13. 25
  14. 12
  15. 21
  16. 31
  17. 12
  18. 13
  19. 31
  20. 12
  21. 19
  22. 14
  23. 38
  24. 10
  25. 37
  26. 22
  27. 9
  28. 21
  29. 11
  30. 9
  31. 18
  32. 5
  33. 10
  34. 10
  35. 24
  36. 25
  37. 9
  38. 17
  39. 30
  40. 34

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