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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 887 · 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 median of 17, 5, 27, 31, 21, 40 and 19? (a) 27 (b) 19 (c) 31 (d) 21
  2. 2.What is the mode of 8, 19, 14, 19, 3, 3 and 3? (a) 3 (b) 19 (c) 14 (d) 8
  3. 3.What is the mean of 20, 10, 4, 2 and 19? (a) 13 (b) 10 (c) 12 (d) 11
  4. 4.What is the mean of 7, 4, 5, 11 and 23? (a) 9 (b) 11 (c) 12 (d) 10
  5. 5.What is the mode of 5, 14, 5, 8, 19, 5 and 14? (a) 14 (b) 19 (c) 8 (d) 5
  6. 6.What is the median of 14, 7, 18, 30 and 29? (a) 14 (b) 19 (c) 29 (d) 18
  7. 7.What is the mode of 16, 16, 8, 3, 3, 3 and 12? (a) 12 (b) 3 (c) 16 (d) 8
  8. 8.What is the mean of 4, 13, 6, 5 and 22? (a) 11 (b) 12 (c) 10 (d) 9
  9. 9.What is the median of 7, 10, 22, 31, 32, 11 and 39? (a) 31 (b) 11 (c) 23 (d) 22
  10. 10.The mean of 3 numbers is 20. When the number 24 is added to them, what is the new mean? (a) 20 (b) 21 (c) 23 (d) 22
  11. 11.What is the mean of 8, 19, 13 and 4? (a) 10 (b) 12 (c) 13 (d) 11
  12. 12.What is the median of 14, 27, 6, 18 and 26? (a) 18 (b) 14 (c) 6 (d) 26
  13. 13.What is the mean of 17, 5, 17, 16, 9 and 20? (a) 15 (b) 14 (c) 13 (d) 12
  14. 14.What is the mode of 12, 3, 12, 12, 3, 14 and 19? (a) 12 (b) 3 (c) 14 (d) 19
  15. 15.The mean of 8 numbers is 33. When the number 69 is added to them, what is the new mean? (a) 33 (b) 38 (c) 51 (d) 37
  16. 16.The mean of 4 numbers is 12. When the number 2 is added to them, what is the new mean? (a) 12 (b) 7 (c) 11 (d) 10
  17. 17.What is the median of 19, 25, 28, 38 and 40? (a) 25 (b) 30 (c) 28 (d) 38
  18. 18.What is the mode of 18, 11, 3, 6, 3, 6 and 6? (a) 11 (b) 3 (c) 6 (d) 18
  19. 19.What is the mean of 2, 6, 5, 13, 8 and 8? (a) 9 (b) 6 (c) 7 (d) 8
  20. 20.The mean of 7 numbers is 12. When the number 20 is added to them, what is the new mean? (a) 14 (b) 13 (c) 16 (d) 12
  21. 21.What is the median of 1, 11, 2, 4, 29, 10 and 3? (a) 3 (b) 10 (c) 4 (d) 5
  22. 22.What is the mode of 11, 11, 1, 11, 14, 1 and 8? (a) 8 (b) 11 (c) 1 (d) 14
  23. 23.What is the median of 19, 22, 32, 9 and 5? (a) 9 (b) 22 (c) 32 (d) 19
  24. 24.What is the mean of 20, 19, 15, 2, 15 and 19? (a) 16 (b) 14 (c) 18 (d) 15
  25. 25.What is the median of 13, 29, 14, 7 and 27? (a) 13 (b) 27 (c) 14 (d) 18
  26. 26.What is the mode of 7, 5, 5, 18, 1, 5 and 1? (a) 1 (b) 5 (c) 7 (d) 18
  27. 27.What is the mean of 7, 5, 13, 14, 7 and 8? (a) 8 (b) 10 (c) 11 (d) 9
  28. 28.The mean of 3 numbers is 37. When the number 29 is added to them, what is the new mean? (a) 37 (b) 35 (c) 36 (d) 33
  29. 29.What is the mean of 13, 10, 6 and 7? (a) 9 (b) 8 (c) 12 (d) 10
  30. 30.What is the mode of 16, 14, 16, 9, 4, 4 and 16? (a) 4 (b) 9 (c) 14 (d) 16
  31. 31.What is the mean of 8, 3, 12, 11 and 6? (a) 9 (b) 10 (c) 8 (d) 7
  32. 32.What is the median of 14, 10, 5, 38, 28, 8 and 32? (a) 28 (b) 14 (c) 38 (d) 10
  33. 33.What is the median of 32, 36, 6, 23, 25, 8 and 13? (a) 25 (b) 13 (c) 23 (d) 24
  34. 34.What is the median of 2, 32, 31, 7 and 17? (a) 31 (b) 17 (c) 18 (d) 7
  35. 35.What is the median of 14, 27, 1, 33, 7, 20 and 10? (a) 14 (b) 16 (c) 33 (d) 20
  36. 36.The mean of 7 numbers is 40. When the number 8 is added to them, what is the new mean? (a) 36 (b) 37 (c) 24 (d) 40
  37. 37.The mean of 4 numbers is 33. When the number 28 is added to them, what is the new mean? (a) 32 (b) 34 (c) 31 (d) 33
  38. 38.The mean of 8 numbers is 30. When the number 3 is added to them, what is the new mean? (a) 27 (b) 30 (c) 28 (d) 26
  39. 39.What is the mean of 9, 4, 5, 10, 3 and 11? (a) 6 (b) 9 (c) 7 (d) 8
  40. 40.The mean of 9 numbers is 37. When the number 57 is added to them, what is the new mean? (a) 47 (b) 37 (c) 39 (d) 40

Answer key

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

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