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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 251 · 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 median of 15, 16, 25, 34 and 18? (a) 19 (b) 18 (c) 16 (d) 25
  2. 2.What is the mean of 15, 11, 19 and 15? (a) 16 (b) 12 (c) 15 (d) 20
  3. 3.What is the median of 30, 13, 22, 9, 35, 18 and 16? (a) 9 (b) 22 (c) 16 (d) 18
  4. 4.The mean of 3 numbers is 12. When the number 24 is added to them, what is the new mean? (a) 18 (b) 12 (c) 16 (d) 15
  5. 5.What is the mean of 10, 12, 15, 4, 12 and 7? (a) 12 (b) 9 (c) 11 (d) 10
  6. 6.What is the median of 25, 12, 17, 23 and 10? (a) 17 (b) 23 (c) 18 (d) 12
  7. 7.What is the median of 2, 37, 13, 33, 20, 40 and 36? (a) 20 (b) 34 (c) 36 (d) 33
  8. 8.What is the mean of 18, 8, 5, 7, 13 and 9? (a) 10 (b) 12 (c) 9 (d) 11
  9. 9.What is the mean of 9, 10, 14, 20 and 17? (a) 16 (b) 13 (c) 15 (d) 14
  10. 10.What is the median of 10, 15, 8, 19 and 7? (a) 15 (b) 8 (c) 11 (d) 10
  11. 11.What is the median of 25, 1, 13, 5, 14, 8 and 38? (a) 13 (b) 14 (c) 8 (d) 5
  12. 12.The mean of 7 numbers is 32. When the number 40 is added to them, what is the new mean? (a) 33 (b) 34 (c) 32 (d) 36
  13. 13.What is the mean of 13, 11, 2 and 10? (a) 8 (b) 10 (c) 12 (d) 9
  14. 14.The mean of 8 numbers is 40. When the number 4 is added to them, what is the new mean? (a) 36 (b) 40 (c) 22 (d) 37
  15. 15.What is the median of 20, 22, 38, 6, 5, 10 and 31? (a) 6 (b) 22 (c) 10 (d) 20
  16. 16.What is the mode of 17, 2, 2, 15, 2, 17 and 8? (a) 15 (b) 17 (c) 2 (d) 8
  17. 17.What is the mode of 15, 15, 6, 5, 15, 7 and 5? (a) 15 (b) 5 (c) 7 (d) 6
  18. 18.The mean of 7 numbers is 25. When the number 41 is added to them, what is the new mean? (a) 25 (b) 27 (c) 28 (d) 33
  19. 19.What is the median of 1, 25, 8, 28, 27, 24 and 22? (a) 22 (b) 28 (c) 25 (d) 24
  20. 20.What is the mean of 12, 13, 16, 12 and 7? (a) 13 (b) 15 (c) 10 (d) 12
  21. 21.What is the mode of 1, 1, 1, 10, 12, 12 and 8? (a) 8 (b) 1 (c) 12 (d) 10
  22. 22.The mean of 8 numbers is 40. When the number 76 is added to them, what is the new mean? (a) 40 (b) 44 (c) 45 (d) 58
  23. 23.What is the median of 28, 2, 10, 3, 11, 12 and 16? (a) 12 (b) 3 (c) 11 (d) 10
  24. 24.What is the median of 35, 22, 31, 8, 32, 24 and 5? (a) 22 (b) 24 (c) 8 (d) 31
  25. 25.What is the median of 24, 17, 25, 22, 36, 9 and 23? (a) 24 (b) 22 (c) 23 (d) 25
  26. 26.What is the mode of 17, 17, 4, 17, 5, 15 and 5? (a) 4 (b) 17 (c) 5 (d) 15
  27. 27.What is the mean of 12, 12, 16 and 8? (a) 11 (b) 12 (c) 16 (d) 13
  28. 28.What is the mean of 20, 15, 7 and 10? (a) 15 (b) 13 (c) 14 (d) 12
  29. 29.What is the mode of 19, 2, 4, 19, 13, 19 and 4? (a) 4 (b) 13 (c) 19 (d) 2
  30. 30.What is the mode of 6, 1, 17, 1, 15, 1 and 17? (a) 1 (b) 6 (c) 15 (d) 17
  31. 31.What is the median of 15, 1, 14, 20, 16, 23 and 4? (a) 14 (b) 20 (c) 15 (d) 16
  32. 32.What is the median of 26, 23, 30, 17 and 32? (a) 23 (b) 26 (c) 30 (d) 27
  33. 33.What is the mean of 2, 2, 9, 19 and 8? (a) 10 (b) 9 (c) 7 (d) 8
  34. 34.The mean of 7 numbers is 37. When the number 53 is added to them, what is the new mean? (a) 45 (b) 37 (c) 40 (d) 39
  35. 35.What is the mean of 12, 6, 16, 3, 12 and 23? (a) 14 (b) 11 (c) 13 (d) 12
  36. 36.What is the mean of 8, 14, 11, 17, 13 and 9? (a) 11 (b) 13 (c) 12 (d) 14
  37. 37.What is the mean of 4, 6, 12, 11 and 2? (a) 9 (b) 8 (c) 7 (d) 6
  38. 38.What is the mean of 17, 5, 3, 10 and 20? (a) 13 (b) 11 (c) 12 (d) 10
  39. 39.What is the mean of 2, 16, 15 and 19? (a) 15 (b) 14 (c) 13 (d) 12
  40. 40.What is the median of 30, 11, 40, 6, 38, 29 and 4? (a) 6 (b) 30 (c) 11 (d) 29

Answer key

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

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