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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 386 · 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 14, 11, 6 and 5? (a) 10 (b) 9 (c) 8 (d) 12
  2. 2.What is the mean of 13, 9, 19, 10 and 19? (a) 14 (b) 16 (c) 13 (d) 15
  3. 3.What is the mode of 20, 3, 12, 20, 3, 3 and 19? (a) 12 (b) 20 (c) 19 (d) 3
  4. 4.What is the median of 36, 26, 5, 2 and 30? (a) 5 (b) 26 (c) 30 (d) 27
  5. 5.What is the median of 32, 20, 25, 8, 6, 39 and 30? (a) 20 (b) 25 (c) 8 (d) 30
  6. 6.The mean of 8 numbers is 21. When the number 12 is added to them, what is the new mean? (a) 21 (b) 20 (c) 19 (d) 22
  7. 7.What is the median of 21, 32, 34, 33, 35, 24 and 28? (a) 33 (b) 28 (c) 32 (d) 31
  8. 8.What is the median of 23, 19, 13, 26 and 22? (a) 19 (b) 23 (c) 22 (d) 13
  9. 9.What is the mean of 14, 14, 8 and 8? (a) 13 (b) 11 (c) 12 (d) 10
  10. 10.What is the mean of 12, 10, 14, 4 and 15? (a) 12 (b) 13 (c) 10 (d) 11
  11. 11.What is the mode of 10, 2, 1, 10, 1, 4 and 1? (a) 2 (b) 1 (c) 10 (d) 4
  12. 12.What is the mode of 3, 2, 7, 17, 7, 3 and 3? (a) 7 (b) 2 (c) 3 (d) 17
  13. 13.What is the mode of 9, 18, 11, 18, 14, 11 and 11? (a) 18 (b) 11 (c) 9 (d) 14
  14. 14.The mean of 8 numbers is 17. When the number 44 is added to them, what is the new mean? (a) 19 (b) 17 (c) 21 (d) 20
  15. 15.What is the median of 23, 13, 11, 2, 10, 14 and 4? (a) 13 (b) 10 (c) 2 (d) 11
  16. 16.What is the median of 12, 29, 27, 40 and 33? (a) 27 (b) 29 (c) 33 (d) 30
  17. 17.What is the mode of 18, 12, 10, 15, 18, 12 and 12? (a) 18 (b) 12 (c) 10 (d) 15
  18. 18.What is the mean of 8, 10, 17 and 9? (a) 13 (b) 12 (c) 11 (d) 10
  19. 19.What is the mean of 6, 16, 7 and 19? (a) 11 (b) 16 (c) 13 (d) 12
  20. 20.The mean of 5 numbers is 23. When the number 17 is added to them, what is the new mean? (a) 21 (b) 23 (c) 22 (d) 20
  21. 21.What is the mean of 7, 20, 15, 17 and 11? (a) 15 (b) 14 (c) 16 (d) 13
  22. 22.What is the mode of 12, 11, 4, 12, 10, 12 and 4? (a) 10 (b) 12 (c) 4 (d) 11
  23. 23.What is the median of 34, 20, 19, 25 and 15? (a) 20 (b) 19 (c) 25 (d) 21
  24. 24.What is the mean of 10, 19, 5, 10 and 16? (a) 15 (b) 12 (c) 13 (d) 10
  25. 25.What is the mean of 4, 8, 15, 14, 13 and 18? (a) 11 (b) 14 (c) 13 (d) 12
  26. 26.What is the mode of 3, 3, 1, 3, 16, 13 and 13? (a) 16 (b) 3 (c) 1 (d) 13
  27. 27.The mean of 9 numbers is 29. When the number 39 is added to them, what is the new mean? (a) 34 (b) 29 (c) 30 (d) 31
  28. 28.What is the median of 28, 10, 31, 39 and 37? (a) 28 (b) 31 (c) 37 (d) 29
  29. 29.What is the mean of 7, 17, 20, 20 and 21? (a) 19 (b) 18 (c) 17 (d) 16
  30. 30.The mean of 5 numbers is 35. When the number 41 is added to them, what is the new mean? (a) 35 (b) 37 (c) 38 (d) 36
  31. 31.The mean of 9 numbers is 39. When the number 19 is added to them, what is the new mean? (a) 29 (b) 38 (c) 37 (d) 39
  32. 32.What is the median of 35, 34, 1, 29 and 8? (a) 1 (b) 8 (c) 29 (d) 34
  33. 33.What is the mean of 16, 2, 20, 19 and 8? (a) 12 (b) 15 (c) 13 (d) 14
  34. 34.What is the mean of 11, 9, 7 and 5? (a) 9 (b) 8 (c) 7 (d) 10
  35. 35.What is the median of 7, 14, 37, 8, 1, 22 and 38? (a) 22 (b) 15 (c) 8 (d) 14
  36. 36.What is the mean of 2, 17, 10 and 7? (a) 12 (b) 9 (c) 8 (d) 10
  37. 37.What is the mean of 14, 3, 17, 18 and 3? (a) 12 (b) 10 (c) 13 (d) 11
  38. 38.What is the median of 30, 24, 12, 22, 7, 34 and 21? (a) 24 (b) 23 (c) 22 (d) 21
  39. 39.What is the mean of 8, 6, 8, 19 and 14? (a) 13 (b) 11 (c) 12 (d) 10
  40. 40.What is the mean of 3, 13, 8, 6 and 15? (a) 8 (b) 10 (c) 11 (d) 9

Answer key

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

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