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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 144 · 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 16, 5, 5, 16, 4, 13 and 16? (a) 16 (b) 4 (c) 13 (d) 5
  2. 2.The mean of 8 numbers is 35. When the number 26 is added to them, what is the new mean? (a) 33 (b) 34 (c) 35 (d) 36
  3. 3.What is the mean of 14, 16, 4, 18 and 18? (a) 16 (b) 14 (c) 13 (d) 15
  4. 4.The mean of 5 numbers is 13. When the number 25 is added to them, what is the new mean? (a) 13 (b) 16 (c) 15 (d) 19
  5. 5.What is the mean of 5, 3, 13, 18 and 21? (a) 10 (b) 15 (c) 12 (d) 13
  6. 6.What is the mean of 4, 12, 16, 9 and 9? (a) 10 (b) 12 (c) 9 (d) 11
  7. 7.What is the mean of 8, 5, 15, 13 and 14? (a) 11 (b) 12 (c) 10 (d) 13
  8. 8.What is the mode of 14, 18, 11, 18, 11, 16 and 11? (a) 18 (b) 16 (c) 14 (d) 11
  9. 9.What is the mode of 19, 17, 20, 3, 20, 19 and 20? (a) 3 (b) 20 (c) 17 (d) 19
  10. 10.What is the mean of 12, 19, 18 and 19? (a) 16 (b) 18 (c) 19 (d) 17
  11. 11.What is the mean of 13, 13, 11, 4 and 14? (a) 13 (b) 11 (c) 10 (d) 12
  12. 12.What is the median of 7, 28, 19, 4, 31, 26 and 8? (a) 8 (b) 26 (c) 4 (d) 19
  13. 13.What is the mode of 5, 15, 5, 4, 14, 5 and 4? (a) 14 (b) 15 (c) 4 (d) 5
  14. 14.What is the mode of 1, 1, 19, 8, 8, 1 and 12? (a) 12 (b) 1 (c) 19 (d) 8
  15. 15.What is the mean of 17, 12, 16, 5 and 15? (a) 15 (b) 12 (c) 14 (d) 13
  16. 16.What is the median of 14, 8, 30, 39, 25, 29 and 7? (a) 25 (b) 14 (c) 39 (d) 29
  17. 17.What is the mean of 6, 15, 13 and 14? (a) 12 (b) 13 (c) 11 (d) 16
  18. 18.What is the mean of 3, 18, 18, 5 and 6? (a) 11 (b) 10 (c) 9 (d) 12
  19. 19.What is the median of 4, 15, 11, 22, 3, 13 and 6? (a) 22 (b) 11 (c) 13 (d) 6
  20. 20.What is the mean of 5, 16, 19, 5, 12 and 9? (a) 10 (b) 11 (c) 12 (d) 13
  21. 21.What is the mode of 5, 17, 6, 10, 6, 17 and 6? (a) 17 (b) 6 (c) 10 (d) 5
  22. 22.The mean of 9 numbers is 31. When the number 21 is added to them, what is the new mean? (a) 29 (b) 31 (c) 30 (d) 26
  23. 23.What is the mean of 9, 5, 19, 17, 18 and 10? (a) 15 (b) 12 (c) 13 (d) 14
  24. 24.What is the mean of 15, 2, 16, 13 and 14? (a) 10 (b) 13 (c) 12 (d) 15
  25. 25.What is the mode of 12, 17, 5, 12, 2, 2 and 2? (a) 5 (b) 2 (c) 12 (d) 17
  26. 26.What is the mode of 14, 15, 14, 5, 5, 18 and 5? (a) 14 (b) 15 (c) 18 (d) 5
  27. 27.What is the mode of 4, 3, 4, 10, 3, 19 and 3? (a) 4 (b) 10 (c) 19 (d) 3
  28. 28.What is the mean of 11, 14, 10, 16 and 14? (a) 14 (b) 12 (c) 15 (d) 13
  29. 29.The mean of 5 numbers is 14. When the number 20 is added to them, what is the new mean? (a) 15 (b) 16 (c) 17 (d) 14
  30. 30.The mean of 4 numbers is 18. When the number 23 is added to them, what is the new mean? (a) 21 (b) 20 (c) 18 (d) 19
  31. 31.What is the median of 3, 22, 1, 12, 17, 36 and 13? (a) 13 (b) 12 (c) 17 (d) 14
  32. 32.What is the mean of 5, 6, 17, 13 and 14? (a) 13 (b) 12 (c) 10 (d) 11
  33. 33.What is the mean of 3, 9, 10, 6 and 17? (a) 10 (b) 11 (c) 8 (d) 9
  34. 34.What is the median of 27, 5, 6, 25, 7, 36 and 8? (a) 9 (b) 25 (c) 8 (d) 7
  35. 35.What is the median of 15, 2, 18, 26 and 29? (a) 18 (b) 19 (c) 26 (d) 15
  36. 36.What is the mode of 14, 3, 3, 3, 11, 16 and 14? (a) 16 (b) 11 (c) 14 (d) 3
  37. 37.What is the mean of 20, 17, 9, 11 and 23? (a) 20 (b) 15 (c) 16 (d) 17
  38. 38.What is the median of 10, 37, 19, 34, 4, 26 and 12? (a) 26 (b) 12 (c) 34 (d) 19
  39. 39.What is the mode of 5, 6, 12, 5, 5, 20 and 6? (a) 20 (b) 12 (c) 5 (d) 6
  40. 40.What is the mode of 3, 16, 14, 19, 14, 16 and 14? (a) 16 (b) 3 (c) 14 (d) 19

Answer key

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

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