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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 682 · 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 24, 26, 2, 39 and 31? (a) 24 (b) 31 (c) 2 (d) 26
  2. 2.What is the mean of 13, 20, 6 and 5? (a) 10 (b) 13 (c) 12 (d) 11
  3. 3.What is the median of 19, 6, 30, 10 and 39? (a) 10 (b) 19 (c) 30 (d) 20
  4. 4.What is the mean of 20, 19, 6 and 7? (a) 12 (b) 15 (c) 13 (d) 14
  5. 5.The mean of 5 numbers is 39. When the number 15 is added to them, what is the new mean? (a) 36 (b) 39 (c) 27 (d) 35
  6. 6.What is the median of 1, 11, 9, 16 and 21? (a) 9 (b) 16 (c) 12 (d) 11
  7. 7.What is the mean of 3, 20, 11 and 22? (a) 14 (b) 13 (c) 16 (d) 15
  8. 8.What is the median of 1, 7, 9, 33 and 39? (a) 9 (b) 10 (c) 33 (d) 7
  9. 9.What is the median of 18, 25, 17, 1, 10, 9 and 8? (a) 10 (b) 17 (c) 9 (d) 1
  10. 10.What is the mean of 16, 8, 10, 14 and 17? (a) 14 (b) 15 (c) 12 (d) 13
  11. 11.What is the mode of 12, 20, 15, 6, 15, 6 and 6? (a) 15 (b) 6 (c) 20 (d) 12
  12. 12.What is the mean of 12, 11, 20, 2 and 20? (a) 15 (b) 14 (c) 12 (d) 13
  13. 13.What is the mode of 13, 9, 15, 15, 9, 9 and 18? (a) 18 (b) 9 (c) 13 (d) 15
  14. 14.What is the median of 20, 9, 4, 12 and 16? (a) 16 (b) 4 (c) 9 (d) 12
  15. 15.The mean of 5 numbers is 39. When the number 33 is added to them, what is the new mean? (a) 39 (b) 36 (c) 38 (d) 37
  16. 16.What is the mean of 4, 20, 6, 20, 3 and 7? (a) 9 (b) 10 (c) 11 (d) 12
  17. 17.The mean of 5 numbers is 30. When the number 18 is added to them, what is the new mean? (a) 29 (b) 24 (c) 28 (d) 30
  18. 18.What is the median of 10, 25, 14, 21 and 16? (a) 16 (b) 21 (c) 14 (d) 17
  19. 19.What is the median of 39, 37, 28, 15 and 5? (a) 29 (b) 28 (c) 37 (d) 15
  20. 20.What is the median of 35, 40, 34, 5, 28, 6 and 20? (a) 34 (b) 28 (c) 5 (d) 24
  21. 21.What is the mean of 4, 2, 12, 16, 5 and 15? (a) 11 (b) 8 (c) 9 (d) 10
  22. 22.What is the mode of 5, 1, 14, 9, 9, 14 and 9? (a) 1 (b) 9 (c) 5 (d) 14
  23. 23.The mean of 9 numbers is 19. When the number 9 is added to them, what is the new mean? (a) 18 (b) 19 (c) 14 (d) 17
  24. 24.What is the mean of 19, 4, 10, 10, 15 and 8? (a) 10 (b) 12 (c) 13 (d) 11
  25. 25.What is the mode of 7, 5, 5, 2, 4, 5 and 4? (a) 7 (b) 5 (c) 2 (d) 4
  26. 26.What is the median of 3, 17, 16, 5, 28, 6 and 10? (a) 5 (b) 10 (c) 6 (d) 16
  27. 27.What is the mode of 20, 17, 20, 7, 7, 7 and 19? (a) 7 (b) 20 (c) 19 (d) 17
  28. 28.What is the mean of 13, 17, 12, 7 and 21? (a) 13 (b) 14 (c) 15 (d) 16
  29. 29.The mean of 9 numbers is 20. When the number 50 is added to them, what is the new mean? (a) 24 (b) 20 (c) 23 (d) 35
  30. 30.What is the mode of 20, 18, 10, 19, 18, 18 and 19? (a) 20 (b) 10 (c) 19 (d) 18
  31. 31.What is the mean of 13, 12, 8, 13 and 19? (a) 15 (b) 14 (c) 13 (d) 12
  32. 32.What is the mode of 10, 6, 3, 10, 4, 4 and 10? (a) 4 (b) 3 (c) 6 (d) 10
  33. 33.What is the median of 37, 39, 16, 6 and 7? (a) 16 (b) 21 (c) 37 (d) 7
  34. 34.What is the mode of 16, 15, 20, 19, 15, 20 and 20? (a) 19 (b) 16 (c) 15 (d) 20
  35. 35.What is the median of 2, 12, 4, 27 and 40? (a) 17 (b) 4 (c) 12 (d) 27
  36. 36.The mean of 5 numbers is 35. When the number 17 is added to them, what is the new mean? (a) 26 (b) 35 (c) 32 (d) 33
  37. 37.What is the median of 3, 38, 36, 11 and 39? (a) 11 (b) 38 (c) 37 (d) 36
  38. 38.What is the mean of 14, 16, 12, 10 and 13? (a) 15 (b) 14 (c) 13 (d) 12
  39. 39.What is the mean of 16, 16, 16 and 20? (a) 17 (b) 19 (c) 18 (d) 16
  40. 40.The mean of 9 numbers is 40. When the number 60 is added to them, what is the new mean? (a) 50 (b) 40 (c) 43 (d) 42

Answer key

  1. 26
  2. 11
  3. 19
  4. 13
  5. 35
  6. 11
  7. 14
  8. 9
  9. 10
  10. 13
  11. 6
  12. 13
  13. 9
  14. 12
  15. 38
  16. 10
  17. 28
  18. 16
  19. 28
  20. 28
  21. 9
  22. 9
  23. 18
  24. 11
  25. 5
  26. 10
  27. 7
  28. 14
  29. 23
  30. 18
  31. 13
  32. 10
  33. 16
  34. 20
  35. 12
  36. 32
  37. 36
  38. 13
  39. 17
  40. 42

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