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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 306 · 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 15, 4, 11, 13, 13, 15 and 13? (a) 4 (b) 11 (c) 13 (d) 15
  2. 2.The mean of 4 numbers is 22. When the number 27 is added to them, what is the new mean? (a) 22 (b) 24 (c) 25 (d) 23
  3. 3.What is the median of 29, 37, 16, 8, 7, 30 and 33? (a) 16 (b) 30 (c) 29 (d) 8
  4. 4.What is the mode of 17, 16, 8, 16, 8, 2 and 16? (a) 16 (b) 17 (c) 8 (d) 2
  5. 5.What is the median of 13, 38, 6, 23 and 8? (a) 8 (b) 6 (c) 13 (d) 23
  6. 6.The mean of 9 numbers is 27. When the number 37 is added to them, what is the new mean? (a) 27 (b) 29 (c) 32 (d) 28
  7. 7.The mean of 6 numbers is 38. When the number 59 is added to them, what is the new mean? (a) 40 (b) 41 (c) 38 (d) 42
  8. 8.What is the mode of 15, 5, 1, 5, 5, 13 and 13? (a) 15 (b) 5 (c) 1 (d) 13
  9. 9.What is the mean of 10, 5, 13, 11 and 11? (a) 10 (b) 9 (c) 12 (d) 11
  10. 10.What is the median of 12, 7, 5, 8, 14, 21 and 4? (a) 9 (b) 8 (c) 7 (d) 12
  11. 11.What is the mean of 10, 14, 15, 18, 18 and 21? (a) 17 (b) 15 (c) 18 (d) 16
  12. 12.What is the mean of 19, 2, 17 and 18? (a) 13 (b) 14 (c) 16 (d) 15
  13. 13.What is the median of 10, 38, 31, 13, 22, 3 and 37? (a) 23 (b) 13 (c) 22 (d) 31
  14. 14.What is the mean of 3, 12, 6 and 11? (a) 7 (b) 10 (c) 9 (d) 8
  15. 15.What is the mean of 8, 3, 7 and 6? (a) 5 (b) 6 (c) 8 (d) 7
  16. 16.What is the mean of 6, 3, 18 and 13? (a) 9 (b) 11 (c) 10 (d) 8
  17. 17.The mean of 3 numbers is 23. When the number 7 is added to them, what is the new mean? (a) 15 (b) 19 (c) 20 (d) 23
  18. 18.What is the median of 26, 14, 8, 25, 20, 7 and 16? (a) 16 (b) 25 (c) 14 (d) 20
  19. 19.What is the mode of 8, 8, 15, 2, 8, 3 and 3? (a) 15 (b) 8 (c) 3 (d) 2
  20. 20.The mean of 8 numbers is 31. When the number 4 is added to them, what is the new mean? (a) 27 (b) 29 (c) 28 (d) 31
  21. 21.What is the median of 8, 19, 21, 7 and 9? (a) 8 (b) 9 (c) 19 (d) 21
  22. 22.What is the median of 6, 10, 7, 8, 5, 39 and 11? (a) 7 (b) 10 (c) 8 (d) 9
  23. 23.What is the mode of 17, 17, 10, 11, 8, 17 and 11? (a) 17 (b) 11 (c) 10 (d) 8
  24. 24.What is the median of 31, 19, 20, 11 and 1? (a) 11 (b) 19 (c) 20 (d) 18
  25. 25.What is the mean of 11, 9, 11 and 17? (a) 12 (b) 16 (c) 11 (d) 13
  26. 26.What is the mean of 4, 8, 9, 9, 16 and 8? (a) 11 (b) 9 (c) 10 (d) 8
  27. 27.The mean of 3 numbers is 13. When the number 5 is added to them, what is the new mean? (a) 9 (b) 11 (c) 12 (d) 13
  28. 28.What is the mean of 13, 4, 14, 19, 5 and 17? (a) 11 (b) 14 (c) 13 (d) 12
  29. 29.What is the mean of 6, 10, 4, 9 and 6? (a) 7 (b) 8 (c) 9 (d) 6
  30. 30.The mean of 4 numbers is 37. When the number 57 is added to them, what is the new mean? (a) 41 (b) 47 (c) 37 (d) 42
  31. 31.What is the mean of 10, 20, 19, 4 and 17? (a) 13 (b) 15 (c) 16 (d) 14
  32. 32.What is the mode of 1, 5, 1, 19, 1, 19 and 6? (a) 5 (b) 1 (c) 6 (d) 19
  33. 33.What is the median of 24, 17, 37, 12 and 28? (a) 17 (b) 24 (c) 37 (d) 28
  34. 34.What is the median of 36, 16, 1, 21, 2, 33 and 4? (a) 21 (b) 16 (c) 4 (d) 17
  35. 35.What is the median of 6, 40, 2, 35 and 19? (a) 35 (b) 2 (c) 6 (d) 19
  36. 36.What is the mode of 1, 6, 9, 6, 17, 17 and 6? (a) 17 (b) 9 (c) 6 (d) 1
  37. 37.The mean of 6 numbers is 15. When the number 1 is added to them, what is the new mean? (a) 14 (b) 15 (c) 13 (d) 8
  38. 38.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
  39. 39.What is the median of 23, 8, 16, 7 and 17? (a) 8 (b) 17 (c) 15 (d) 16
  40. 40.The mean of 9 numbers is 35. When the number 75 is added to them, what is the new mean? (a) 55 (b) 39 (c) 40 (d) 35

Answer key

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

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