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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 590 · 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, 4, 1, 4, 17, 4 and 17? (a) 17 (b) 5 (c) 1 (d) 4
  2. 2.What is the mode of 7, 13, 17, 20, 13, 13 and 17? (a) 17 (b) 13 (c) 20 (d) 7
  3. 3.What is the median of 1, 15, 2, 4 and 11? (a) 5 (b) 11 (c) 2 (d) 4
  4. 4.The mean of 5 numbers is 17. When the number 5 is added to them, what is the new mean? (a) 17 (b) 15 (c) 16 (d) 11
  5. 5.What is the median of 5, 40, 22, 13, 36, 8 and 6? (a) 13 (b) 22 (c) 8 (d) 14
  6. 6.What is the mean of 6, 12, 18, 4 and 5? (a) 11 (b) 9 (c) 8 (d) 10
  7. 7.What is the mode of 11, 4, 11, 6, 4, 7 and 11? (a) 4 (b) 6 (c) 7 (d) 11
  8. 8.What is the mean of 10, 3, 5, 9 and 8? (a) 9 (b) 7 (c) 6 (d) 8
  9. 9.What is the mode of 19, 19, 20, 2, 2, 1 and 2? (a) 19 (b) 20 (c) 1 (d) 2
  10. 10.What is the mode of 15, 13, 9, 15, 13, 15 and 1? (a) 13 (b) 1 (c) 9 (d) 15
  11. 11.What is the mode of 4, 19, 1, 4, 16, 4 and 1? (a) 1 (b) 4 (c) 19 (d) 16
  12. 12.What is the median of 6, 37, 7, 26 and 29? (a) 7 (b) 26 (c) 29 (d) 21
  13. 13.What is the mean of 16, 10, 15 and 11? (a) 14 (b) 15 (c) 12 (d) 13
  14. 14.The mean of 4 numbers is 11. When the number 1 is added to them, what is the new mean? (a) 6 (b) 11 (c) 10 (d) 9
  15. 15.The mean of 4 numbers is 27. When the number 7 is added to them, what is the new mean? (a) 23 (b) 27 (c) 17 (d) 24
  16. 16.What is the mode of 15, 20, 7, 20, 20, 9 and 9? (a) 7 (b) 15 (c) 20 (d) 9
  17. 17.What is the mean of 7, 20, 14, 13, 11 and 19? (a) 12 (b) 15 (c) 13 (d) 14
  18. 18.The mean of 9 numbers is 24. When the number 34 is added to them, what is the new mean? (a) 26 (b) 24 (c) 29 (d) 25
  19. 19.What is the median of 34, 5, 9, 20 and 31? (a) 9 (b) 21 (c) 31 (d) 20
  20. 20.The mean of 3 numbers is 37. When the number 53 is added to them, what is the new mean? (a) 37 (b) 42 (c) 45 (d) 41
  21. 21.What is the median of 1, 11, 10, 29 and 34? (a) 10 (b) 17 (c) 11 (d) 29
  22. 22.What is the mode of 19, 7, 19, 12, 2, 12 and 19? (a) 7 (b) 2 (c) 19 (d) 12
  23. 23.What is the mean of 14, 11, 6, 19, 6 and 16? (a) 14 (b) 11 (c) 12 (d) 13
  24. 24.What is the mode of 15, 2, 2, 14, 14, 14 and 1? (a) 2 (b) 1 (c) 14 (d) 15
  25. 25.What is the median of 28, 23, 3, 37, 21, 4 and 19? (a) 23 (b) 37 (c) 21 (d) 19
  26. 26.What is the mean of 2, 2, 5, 17, 19 and 21? (a) 13 (b) 12 (c) 10 (d) 11
  27. 27.What is the mode of 8, 8, 17, 5, 7, 17 and 8? (a) 7 (b) 5 (c) 17 (d) 8
  28. 28.What is the median of 31, 28, 27, 3, 7, 22 and 2? (a) 7 (b) 3 (c) 27 (d) 22
  29. 29.What is the mean of 16, 12, 5, 2 and 5? (a) 10 (b) 9 (c) 7 (d) 8
  30. 30.What is the median of 8, 35, 38, 5, 36, 27 and 13? (a) 27 (b) 5 (c) 35 (d) 13
  31. 31.The mean of 4 numbers is 11. When the number 6 is added to them, what is the new mean? (a) 9 (b) 12 (c) 11 (d) 10
  32. 32.What is the mean of 5, 3, 12, 3 and 12? (a) 6 (b) 9 (c) 8 (d) 7
  33. 33.What is the median of 23, 32, 6, 21, 35, 10 and 18? (a) 23 (b) 22 (c) 18 (d) 21
  34. 34.What is the median of 11, 38, 19, 13, 23, 18 and 17? (a) 17 (b) 19 (c) 18 (d) 13
  35. 35.What is the mode of 4, 2, 6, 1, 1, 2 and 2? (a) 2 (b) 6 (c) 1 (d) 4
  36. 36.What is the mean of 2, 16, 20 and 14? (a) 15 (b) 12 (c) 13 (d) 14
  37. 37.What is the mean of 12, 3, 4, 7 and 19? (a) 10 (b) 11 (c) 9 (d) 8
  38. 38.What is the mean of 13, 4, 10 and 17? (a) 12 (b) 11 (c) 10 (d) 13
  39. 39.What is the median of 7, 27, 23, 39, 5, 2 and 30? (a) 27 (b) 23 (c) 19 (d) 39
  40. 40.What is the mode of 11, 2, 20, 2, 20, 8 and 2? (a) 8 (b) 2 (c) 20 (d) 11

Answer key

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

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