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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 820 · 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 mode of 5, 9, 5, 6, 5, 2 and 9? (a) 6 (b) 9 (c) 2 (d) 5
  2. 2.What is the mean of 8, 9, 16, 4, 18 and 17? (a) 11 (b) 14 (c) 13 (d) 12
  3. 3.What is the median of 14, 18, 9, 27, 2, 12 and 40? (a) 27 (b) 14 (c) 12 (d) 18
  4. 4.What is the median of 39, 4, 8, 27, 31, 19 and 29? (a) 29 (b) 27 (c) 19 (d) 28
  5. 5.The mean of 3 numbers is 16. When the number 28 is added to them, what is the new mean? (a) 20 (b) 19 (c) 16 (d) 22
  6. 6.What is the mean of 12, 18, 7 and 11? (a) 13 (b) 16 (c) 12 (d) 11
  7. 7.What is the mode of 13, 2, 6, 9, 6, 9 and 6? (a) 2 (b) 13 (c) 9 (d) 6
  8. 8.The mean of 5 numbers is 24. When the number 42 is added to them, what is the new mean? (a) 33 (b) 28 (c) 27 (d) 24
  9. 9.What is the mean of 6, 20, 20 and 6? (a) 14 (b) 12 (c) 15 (d) 13
  10. 10.What is the mode of 15, 15, 9, 15, 9, 16 and 12? (a) 9 (b) 16 (c) 12 (d) 15
  11. 11.What is the median of 33, 35, 13, 18, 8, 17 and 30? (a) 17 (b) 22 (c) 30 (d) 18
  12. 12.What is the mean of 2, 9, 14, 7 and 18? (a) 10 (b) 9 (c) 12 (d) 11
  13. 13.The mean of 9 numbers is 17. When the number 37 is added to them, what is the new mean? (a) 20 (b) 19 (c) 27 (d) 17
  14. 14.The mean of 5 numbers is 24. When the number 30 is added to them, what is the new mean? (a) 24 (b) 25 (c) 26 (d) 27
  15. 15.What is the mean of 11, 5, 2, 15, 3 and 6? (a) 7 (b) 6 (c) 8 (d) 9
  16. 16.The mean of 6 numbers is 22. When the number 36 is added to them, what is the new mean? (a) 29 (b) 25 (c) 22 (d) 24
  17. 17.What is the mode of 8, 19, 14, 19, 19, 8 and 18? (a) 8 (b) 18 (c) 19 (d) 14
  18. 18.What is the median of 28, 39, 24, 4 and 23? (a) 28 (b) 25 (c) 23 (d) 24
  19. 19.What is the mean of 6, 11, 2, 15 and 6? (a) 10 (b) 7 (c) 8 (d) 9
  20. 20.What is the mode of 17, 16, 17, 16, 12, 17 and 11? (a) 16 (b) 12 (c) 17 (d) 11
  21. 21.What is the mean of 10, 10, 16 and 8? (a) 10 (b) 12 (c) 11 (d) 13
  22. 22.What is the median of 11, 5, 8, 38, 6, 18 and 25? (a) 38 (b) 8 (c) 11 (d) 18
  23. 23.What is the mode of 3, 9, 14, 3, 14, 1 and 14? (a) 9 (b) 14 (c) 1 (d) 3
  24. 24.The mean of 7 numbers is 33. When the number 41 is added to them, what is the new mean? (a) 37 (b) 35 (c) 34 (d) 33
  25. 25.What is the mean of 7, 8, 16 and 21? (a) 13 (b) 12 (c) 15 (d) 14
  26. 26.What is the mode of 13, 16, 16, 5, 14, 16 and 13? (a) 13 (b) 16 (c) 14 (d) 5
  27. 27.What is the mean of 2, 20, 6, 5 and 17? (a) 9 (b) 11 (c) 12 (d) 10
  28. 28.What is the mode of 16, 20, 5, 5, 3, 3 and 5? (a) 3 (b) 5 (c) 16 (d) 20
  29. 29.What is the mean of 6, 11, 8 and 3? (a) 8 (b) 9 (c) 6 (d) 7
  30. 30.What is the mean of 20, 3, 2 and 11? (a) 9 (b) 8 (c) 12 (d) 10
  31. 31.What is the mean of 6, 6, 12, 4 and 7? (a) 9 (b) 7 (c) 8 (d) 6
  32. 32.The mean of 7 numbers is 32. When the number 40 is added to them, what is the new mean? (a) 32 (b) 34 (c) 33 (d) 36
  33. 33.What is the median of 14, 32, 9, 4 and 25? (a) 9 (b) 25 (c) 14 (d) 15
  34. 34.What is the mean of 17, 8, 16, 20 and 4? (a) 14 (b) 12 (c) 15 (d) 13
  35. 35.The mean of 4 numbers is 32. When the number 12 is added to them, what is the new mean? (a) 32 (b) 29 (c) 22 (d) 28
  36. 36.What is the mean of 14, 18, 12 and 12? (a) 15 (b) 16 (c) 14 (d) 13
  37. 37.What is the mean of 8, 6, 10 and 16? (a) 11 (b) 9 (c) 10 (d) 8
  38. 38.The mean of 3 numbers is 29. When the number 41 is added to them, what is the new mean? (a) 35 (b) 29 (c) 33 (d) 32
  39. 39.What is the median of 24, 14, 35, 8 and 5? (a) 35 (b) 8 (c) 24 (d) 14
  40. 40.What is the mode of 4, 6, 6, 8, 9, 4 and 4? (a) 6 (b) 8 (c) 9 (d) 4

Answer key

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

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