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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 753 · 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 7, 9, 16, 16 and 7? (a) 12 (b) 10 (c) 13 (d) 11
  2. 2.What is the mean of 4, 11, 19, 17 and 9? (a) 15 (b) 10 (c) 13 (d) 12
  3. 3.What is the median of 13, 2, 5, 34 and 32? (a) 32 (b) 14 (c) 13 (d) 5
  4. 4.What is the mean of 10, 12, 2, 4, 8 and 18? (a) 11 (b) 10 (c) 9 (d) 8
  5. 5.The mean of 6 numbers is 20. When the number 34 is added to them, what is the new mean? (a) 23 (b) 20 (c) 22 (d) 27
  6. 6.What is the mode of 14, 19, 3, 3, 12, 14 and 14? (a) 3 (b) 12 (c) 19 (d) 14
  7. 7.What is the mean of 7, 16, 17, 4 and 16? (a) 13 (b) 12 (c) 10 (d) 15
  8. 8.What is the mean of 2, 6, 12 and 4? (a) 7 (b) 5 (c) 6 (d) 8
  9. 9.What is the median of 34, 38, 29, 1 and 7? (a) 30 (b) 29 (c) 7 (d) 34
  10. 10.The mean of 3 numbers is 10. When the number 22 is added to them, what is the new mean? (a) 13 (b) 16 (c) 14 (d) 10
  11. 11.What is the median of 32, 14, 40, 8 and 29? (a) 40 (b) 29 (c) 32 (d) 14
  12. 12.What is the mode of 1, 1, 13, 13, 2, 1 and 20? (a) 20 (b) 2 (c) 1 (d) 13
  13. 13.What is the median of 15, 10, 25, 27 and 5? (a) 15 (b) 25 (c) 16 (d) 10
  14. 14.The mean of 5 numbers is 27. When the number 15 is added to them, what is the new mean? (a) 25 (b) 21 (c) 26 (d) 27
  15. 15.What is the mean of 8, 16, 9, 16, 4 and 13? (a) 13 (b) 11 (c) 12 (d) 10
  16. 16.What is the median of 28, 10, 12, 20, 36, 35 and 5? (a) 28 (b) 21 (c) 20 (d) 12
  17. 17.The mean of 8 numbers is 17. When the number 26 is added to them, what is the new mean? (a) 19 (b) 18 (c) 17 (d) 20
  18. 18.What is the mean of 3, 15, 16 and 18? (a) 12 (b) 14 (c) 13 (d) 15
  19. 19.What is the median of 35, 20, 10, 15 and 8? (a) 20 (b) 10 (c) 16 (d) 15
  20. 20.What is the mode of 14, 14, 7, 11, 14, 4 and 7? (a) 7 (b) 14 (c) 11 (d) 4
  21. 21.The mean of 7 numbers is 12. When the number 20 is added to them, what is the new mean? (a) 14 (b) 12 (c) 13 (d) 16
  22. 22.The mean of 4 numbers is 26. When the number 11 is added to them, what is the new mean? (a) 26 (b) 22 (c) 24 (d) 23
  23. 23.What is the mode of 7, 2, 10, 14, 14, 14 and 7? (a) 7 (b) 14 (c) 2 (d) 10
  24. 24.What is the mode of 12, 16, 7, 16, 5, 16 and 7? (a) 12 (b) 7 (c) 5 (d) 16
  25. 25.What is the median of 3, 8, 20, 12, 24, 16 and 37? (a) 20 (b) 16 (c) 12 (d) 17
  26. 26.What is the median of 5, 13, 8, 33, 28, 7 and 35? (a) 8 (b) 28 (c) 33 (d) 13
  27. 27.What is the mean of 16, 9, 19, 3 and 13? (a) 15 (b) 13 (c) 10 (d) 12
  28. 28.The mean of 8 numbers is 23. When the number 59 is added to them, what is the new mean? (a) 23 (b) 41 (c) 27 (d) 28
  29. 29.What is the mode of 5, 20, 7, 12, 20, 12 and 12? (a) 12 (b) 7 (c) 5 (d) 20
  30. 30.The mean of 3 numbers is 15. When the number 11 is added to them, what is the new mean? (a) 15 (b) 13 (c) 16 (d) 14
  31. 31.What is the median of 32, 30, 31, 35, 12, 38 and 4? (a) 26 (b) 35 (c) 32 (d) 31
  32. 32.What is the mode of 16, 19, 19, 17, 4, 19 and 4? (a) 4 (b) 17 (c) 19 (d) 16
  33. 33.What is the median of 34, 9, 21, 17 and 26? (a) 17 (b) 21 (c) 26 (d) 22
  34. 34.What is the mode of 18, 1, 12, 12, 18, 2 and 12? (a) 18 (b) 2 (c) 12 (d) 1
  35. 35.What is the mean of 3, 4, 7, 17, 12 and 11? (a) 8 (b) 10 (c) 9 (d) 11
  36. 36.The mean of 9 numbers is 21. When the number 11 is added to them, what is the new mean? (a) 16 (b) 19 (c) 21 (d) 20
  37. 37.What is the median of 31, 33, 4, 11, 40, 30 and 35? (a) 11 (b) 30 (c) 31 (d) 33
  38. 38.What is the mode of 13, 6, 6, 12, 2, 2 and 2? (a) 12 (b) 13 (c) 6 (d) 2
  39. 39.What is the mean of 8, 4, 14, 15, 19 and 6? (a) 10 (b) 12 (c) 11 (d) 13
  40. 40.The mean of 4 numbers is 31. When the number 36 is added to them, what is the new mean? (a) 33 (b) 34 (c) 32 (d) 31

Answer key

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

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