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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 39 · 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.The mean of 6 numbers is 15. When the number 1 is added to them, what is the new mean? (a) 8 (b) 15 (c) 14 (d) 13
  2. 2.What is the median of 2, 17, 5, 4, 28, 30 and 20? (a) 5 (b) 20 (c) 17 (d) 4
  3. 3.What is the median of 8, 36, 39, 3, 16, 15 and 30? (a) 3 (b) 16 (c) 30 (d) 21
  4. 4.What is the mode of 16, 11, 17, 16, 17, 5 and 16? (a) 5 (b) 17 (c) 16 (d) 11
  5. 5.What is the mode of 14, 4, 7, 19, 19, 4 and 4? (a) 19 (b) 7 (c) 14 (d) 4
  6. 6.The mean of 3 numbers is 28. When the number 40 is added to them, what is the new mean? (a) 31 (b) 32 (c) 34 (d) 28
  7. 7.What is the mode of 15, 15, 8, 18, 15, 17 and 18? (a) 18 (b) 15 (c) 17 (d) 8
  8. 8.What is the mean of 17, 13, 7, 3 and 15? (a) 11 (b) 12 (c) 13 (d) 10
  9. 9.What is the median of 3, 12, 27, 10, 13, 7 and 15? (a) 13 (b) 10 (c) 12 (d) 11
  10. 10.What is the mean of 15, 7, 14, 20 and 9? (a) 14 (b) 12 (c) 15 (d) 13
  11. 11.What is the mean of 3, 13, 7 and 21? (a) 13 (b) 10 (c) 12 (d) 11
  12. 12.What is the mean of 20, 2, 2 and 12? (a) 10 (b) 9 (c) 8 (d) 12
  13. 13.What is the median of 8, 15, 26, 20 and 1? (a) 26 (b) 14 (c) 20 (d) 15
  14. 14.What is the median of 9, 40, 30, 35 and 22? (a) 35 (b) 31 (c) 30 (d) 22
  15. 15.What is the median of 2, 27, 30, 12 and 18? (a) 12 (b) 30 (c) 27 (d) 18
  16. 16.What is the mode of 7, 19, 7, 7, 4, 13 and 19? (a) 7 (b) 19 (c) 4 (d) 13
  17. 17.The mean of 3 numbers is 40. When the number 32 is added to them, what is the new mean? (a) 38 (b) 40 (c) 36 (d) 39
  18. 18.The mean of 4 numbers is 27. When the number 32 is added to them, what is the new mean? (a) 30 (b) 28 (c) 29 (d) 27
  19. 19.What is the mean of 17, 12, 18, 19 and 14? (a) 16 (b) 15 (c) 20 (d) 17
  20. 20.What is the median of 25, 38, 6, 35, 17, 30 and 13? (a) 35 (b) 30 (c) 17 (d) 25
  21. 21.What is the mode of 9, 4, 4, 20, 17, 17 and 4? (a) 17 (b) 4 (c) 9 (d) 20
  22. 22.What is the median of 24, 3, 7, 20 and 28? (a) 7 (b) 21 (c) 20 (d) 24
  23. 23.What is the mean of 18, 2, 2, 20, 16 and 14? (a) 11 (b) 13 (c) 12 (d) 14
  24. 24.What is the mode of 9, 16, 13, 16, 5, 5 and 16? (a) 9 (b) 5 (c) 13 (d) 16
  25. 25.What is the mean of 10, 9, 14, 12, 10 and 11? (a) 12 (b) 10 (c) 11 (d) 13
  26. 26.What is the mode of 13, 15, 13, 1, 1, 1 and 17? (a) 15 (b) 1 (c) 13 (d) 17
  27. 27.What is the mean of 19, 2, 9, 15, 7 and 8? (a) 11 (b) 9 (c) 12 (d) 10
  28. 28.The mean of 9 numbers is 21. When the number 51 is added to them, what is the new mean? (a) 25 (b) 21 (c) 24 (d) 36
  29. 29.The mean of 3 numbers is 37. When the number 41 is added to them, what is the new mean? (a) 38 (b) 39 (c) 37 (d) 40
  30. 30.What is the mode of 18, 16, 18, 16, 19, 20 and 18? (a) 19 (b) 16 (c) 20 (d) 18
  31. 31.What is the mode of 13, 14, 14, 16, 7, 7 and 14? (a) 7 (b) 13 (c) 16 (d) 14
  32. 32.What is the mode of 11, 19, 6, 9, 19, 9 and 9? (a) 19 (b) 9 (c) 11 (d) 6
  33. 33.What is the mode of 15, 14, 5, 14, 2, 15 and 15? (a) 14 (b) 2 (c) 15 (d) 5
  34. 34.What is the mode of 13, 13, 9, 16, 13, 10 and 16? (a) 9 (b) 13 (c) 10 (d) 16
  35. 35.What is the mean of 16, 16, 11, 7, 9 and 19? (a) 13 (b) 15 (c) 12 (d) 14
  36. 36.The mean of 8 numbers is 33. When the number 42 is added to them, what is the new mean? (a) 33 (b) 35 (c) 34 (d) 36
  37. 37.The mean of 3 numbers is 37. When the number 21 is added to them, what is the new mean? (a) 34 (b) 33 (c) 29 (d) 37
  38. 38.What is the median of 22, 24, 17, 31 and 9? (a) 24 (b) 23 (c) 17 (d) 22
  39. 39.What is the mode of 8, 1, 8, 15, 1, 19 and 1? (a) 15 (b) 8 (c) 1 (d) 19
  40. 40.What is the mean of 15, 6, 19 and 8? (a) 16 (b) 13 (c) 12 (d) 11

Answer key

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

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