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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 193 · 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 16, 8, 15, 2, 14 and 11? (a) 10 (b) 12 (c) 11 (d) 13
  2. 2.What is the mode of 12, 6, 6, 12, 16, 6 and 5? (a) 12 (b) 16 (c) 6 (d) 5
  3. 3.What is the median of 31, 3, 29, 39 and 1? (a) 30 (b) 29 (c) 3 (d) 31
  4. 4.What is the median of 26, 3, 1, 9 and 11? (a) 11 (b) 9 (c) 10 (d) 1
  5. 5.What is the mean of 14, 9, 20 and 13? (a) 15 (b) 16 (c) 13 (d) 14
  6. 6.What is the mode of 10, 10, 10, 12, 18, 7 and 18? (a) 18 (b) 12 (c) 10 (d) 7
  7. 7.The mean of 4 numbers is 14. When the number 34 is added to them, what is the new mean? (a) 19 (b) 24 (c) 14 (d) 18
  8. 8.What is the median of 4, 7, 31, 22 and 21? (a) 31 (b) 21 (c) 22 (d) 17
  9. 9.The mean of 6 numbers is 40. When the number 68 is added to them, what is the new mean? (a) 54 (b) 45 (c) 44 (d) 40
  10. 10.What is the mode of 1, 3, 1, 9, 9, 9 and 7? (a) 7 (b) 1 (c) 3 (d) 9
  11. 11.What is the median of 14, 5, 1, 39 and 13? (a) 14 (b) 5 (c) 13 (d) 1
  12. 12.What is the median of 23, 2, 21, 11, 18, 1 and 36? (a) 18 (b) 11 (c) 16 (d) 21
  13. 13.What is the mean of 18, 16, 14 and 20? (a) 16 (b) 18 (c) 17 (d) 19
  14. 14.What is the median of 32, 9, 10, 38, 14, 22 and 25? (a) 14 (b) 25 (c) 38 (d) 22
  15. 15.What is the mode of 2, 9, 10, 18, 10, 18 and 10? (a) 2 (b) 9 (c) 10 (d) 18
  16. 16.What is the mean of 5, 9, 15 and 23? (a) 15 (b) 12 (c) 13 (d) 14
  17. 17.What is the median of 39, 29, 2, 36 and 12? (a) 29 (b) 36 (c) 2 (d) 12
  18. 18.What is the mode of 10, 5, 5, 2, 5, 19 and 2? (a) 5 (b) 10 (c) 19 (d) 2
  19. 19.What is the mean of 8, 4, 5 and 15? (a) 8 (b) 7 (c) 9 (d) 10
  20. 20.What is the mode of 2, 7, 19, 19, 2, 19 and 17? (a) 7 (b) 19 (c) 2 (d) 17
  21. 21.What is the mode of 8, 8, 10, 6, 1, 6 and 6? (a) 10 (b) 6 (c) 1 (d) 8
  22. 22.The mean of 7 numbers is 12. When the number 20 is added to them, what is the new mean? (a) 16 (b) 14 (c) 12 (d) 13
  23. 23.What is the mean of 14, 18, 12 and 8? (a) 12 (b) 15 (c) 14 (d) 13
  24. 24.The mean of 9 numbers is 16. When the number 6 is added to them, what is the new mean? (a) 11 (b) 16 (c) 14 (d) 15
  25. 25.What is the mean of 9, 4, 10, 15 and 17? (a) 13 (b) 11 (c) 12 (d) 10
  26. 26.What is the mean of 9, 16, 19, 11 and 5? (a) 12 (b) 10 (c) 13 (d) 15
  27. 27.The mean of 3 numbers is 39. When the number 35 is added to them, what is the new mean? (a) 37 (b) 39 (c) 40 (d) 38
  28. 28.The mean of 9 numbers is 33. When the number 23 is added to them, what is the new mean? (a) 33 (b) 28 (c) 31 (d) 32
  29. 29.What is the mean of 6, 10, 14 and 14? (a) 13 (b) 11 (c) 10 (d) 12
  30. 30.The mean of 8 numbers is 19. When the number 1 is added to them, what is the new mean? (a) 19 (b) 18 (c) 17 (d) 10
  31. 31.What is the mode of 10, 2, 9, 19, 10, 2 and 2? (a) 2 (b) 19 (c) 10 (d) 9
  32. 32.What is the median of 19, 2, 25, 7, 21, 11 and 18? (a) 11 (b) 18 (c) 19 (d) 7
  33. 33.What is the mean of 19, 18, 18 and 9? (a) 17 (b) 15 (c) 18 (d) 16
  34. 34.What is the mode of 19, 1, 14, 2, 14, 14 and 19? (a) 2 (b) 14 (c) 19 (d) 1
  35. 35.What is the median of 27, 4, 6, 40 and 7? (a) 6 (b) 27 (c) 7 (d) 8
  36. 36.What is the mean of 4, 19, 5 and 8? (a) 8 (b) 9 (c) 12 (d) 10
  37. 37.The mean of 3 numbers is 15. When the number 19 is added to them, what is the new mean? (a) 18 (b) 17 (c) 15 (d) 16
  38. 38.The mean of 9 numbers is 34. When the number 44 is added to them, what is the new mean? (a) 35 (b) 34 (c) 36 (d) 39
  39. 39.The mean of 3 numbers is 35. When the number 47 is added to them, what is the new mean? (a) 35 (b) 38 (c) 41 (d) 39
  40. 40.What is the mode of 10, 1, 1, 2, 5, 1 and 10? (a) 5 (b) 1 (c) 2 (d) 10

Answer key

  1. 11
  2. 6
  3. 29
  4. 9
  5. 14
  6. 10
  7. 18
  8. 21
  9. 44
  10. 9
  11. 13
  12. 18
  13. 17
  14. 22
  15. 10
  16. 13
  17. 29
  18. 5
  19. 8
  20. 19
  21. 6
  22. 13
  23. 13
  24. 15
  25. 11
  26. 12
  27. 38
  28. 32
  29. 11
  30. 17
  31. 2
  32. 18
  33. 16
  34. 14
  35. 7
  36. 9
  37. 16
  38. 35
  39. 38
  40. 1

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