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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 880 · 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, 7, 20, 19, 37, 5 and 26? (a) 19 (b) 21 (c) 20 (d) 24
  2. 2.What is the mean of 7, 7, 5, 15 and 16? (a) 9 (b) 11 (c) 12 (d) 10
  3. 3.What is the median of 12, 38, 32, 36, 24, 26 and 3? (a) 26 (b) 24 (c) 32 (d) 36
  4. 4.What is the mean of 8, 12, 7 and 21? (a) 11 (b) 16 (c) 12 (d) 13
  5. 5.The mean of 6 numbers is 10. When the number 31 is added to them, what is the new mean? (a) 10 (b) 13 (c) 12 (d) 14
  6. 6.The mean of 4 numbers is 34. When the number 24 is added to them, what is the new mean? (a) 32 (b) 33 (c) 34 (d) 29
  7. 7.What is the mean of 5, 6, 8 and 13? (a) 10 (b) 9 (c) 8 (d) 7
  8. 8.What is the median of 39, 35, 1, 24 and 28? (a) 28 (b) 35 (c) 24 (d) 1
  9. 9.What is the median of 2, 12, 17, 22, 13, 29 and 1? (a) 17 (b) 22 (c) 12 (d) 13
  10. 10.What is the mean of 8, 15, 3, 13 and 21? (a) 15 (b) 12 (c) 13 (d) 10
  11. 11.What is the mode of 11, 11, 11, 14, 18, 14 and 15? (a) 14 (b) 18 (c) 15 (d) 11
  12. 12.What is the mean of 19, 18, 8, 11 and 19? (a) 14 (b) 16 (c) 15 (d) 17
  13. 13.What is the median of 2, 3, 19, 12, 6, 24 and 8? (a) 9 (b) 12 (c) 8 (d) 6
  14. 14.What is the median of 11, 23, 4, 34, 6, 31 and 29? (a) 11 (b) 29 (c) 34 (d) 23
  15. 15.What is the mode of 3, 19, 3, 3, 12, 5 and 12? (a) 3 (b) 19 (c) 12 (d) 5
  16. 16.The mean of 6 numbers is 16. When the number 44 is added to them, what is the new mean? (a) 20 (b) 16 (c) 21 (d) 30
  17. 17.What is the median of 4, 13, 9, 23 and 35? (a) 23 (b) 9 (c) 14 (d) 13
  18. 18.The mean of 5 numbers is 36. When the number 18 is added to them, what is the new mean? (a) 34 (b) 33 (c) 27 (d) 36
  19. 19.What is the mode of 5, 20, 13, 3, 3, 3 and 20? (a) 13 (b) 20 (c) 5 (d) 3
  20. 20.The mean of 7 numbers is 34. When the number 58 is added to them, what is the new mean? (a) 38 (b) 37 (c) 34 (d) 46
  21. 21.What is the median of 26, 23, 24, 9 and 16? (a) 24 (b) 16 (c) 23 (d) 22
  22. 22.What is the median of 4, 28, 30, 13 and 24? (a) 13 (b) 24 (c) 30 (d) 28
  23. 23.What is the mean of 2, 2, 15 and 5? (a) 6 (b) 7 (c) 5 (d) 8
  24. 24.The mean of 8 numbers is 22. When the number 49 is added to them, what is the new mean? (a) 24 (b) 26 (c) 25 (d) 22
  25. 25.What is the mode of 1, 1, 9, 7, 7, 4 and 1? (a) 7 (b) 9 (c) 1 (d) 4
  26. 26.What is the median of 38, 2, 13, 27 and 26? (a) 13 (b) 26 (c) 25 (d) 27
  27. 27.The mean of 3 numbers is 25. When the number 41 is added to them, what is the new mean? (a) 25 (b) 30 (c) 29 (d) 33
  28. 28.What is the median of 11, 35, 18, 33 and 23? (a) 33 (b) 18 (c) 24 (d) 23
  29. 29.What is the mode of 5, 16, 16, 14, 5, 16 and 18? (a) 5 (b) 14 (c) 18 (d) 16
  30. 30.What is the median of 9, 10, 3, 33 and 32? (a) 3 (b) 9 (c) 32 (d) 10
  31. 31.What is the median of 28, 16, 35, 25, 17, 21 and 3? (a) 17 (b) 21 (c) 25 (d) 22
  32. 32.The mean of 6 numbers is 36. When the number 43 is added to them, what is the new mean? (a) 38 (b) 36 (c) 39 (d) 37
  33. 33.What is the mode of 18, 16, 19, 15, 15, 15 and 18? (a) 15 (b) 18 (c) 19 (d) 16
  34. 34.What is the mode of 16, 16, 2, 16, 10, 7 and 2? (a) 7 (b) 2 (c) 16 (d) 10
  35. 35.What is the median of 19, 26, 34, 8, 6, 18 and 29? (a) 20 (b) 19 (c) 8 (d) 26
  36. 36.What is the median of 2, 25, 4, 27, 1, 33 and 17? (a) 4 (b) 25 (c) 27 (d) 17
  37. 37.What is the mode of 19, 13, 9, 9, 9, 6 and 19? (a) 9 (b) 6 (c) 19 (d) 13
  38. 38.What is the median of 38, 2, 16, 27, 5, 11 and 14? (a) 11 (b) 16 (c) 27 (d) 14
  39. 39.What is the median of 15, 11, 26, 21, 8, 6 and 36? (a) 16 (b) 15 (c) 11 (d) 21
  40. 40.What is the mode of 3, 17, 20, 20, 10, 10 and 10? (a) 17 (b) 20 (c) 10 (d) 3

Answer key

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

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