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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 772 · 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 30, 39, 38, 35, 10, 1 and 9? (a) 31 (b) 10 (c) 35 (d) 30
  2. 2.What is the median of 11, 27, 30, 3, 40, 34 and 19? (a) 19 (b) 27 (c) 30 (d) 3
  3. 3.What is the mean of 5, 11, 10, 14, 8 and 6? (a) 10 (b) 8 (c) 11 (d) 9
  4. 4.The mean of 7 numbers is 10. When the number 18 is added to them, what is the new mean? (a) 10 (b) 12 (c) 14 (d) 11
  5. 5.What is the mean of 3, 4, 10, 12 and 6? (a) 8 (b) 6 (c) 9 (d) 7
  6. 6.What is the mode of 4, 15, 10, 7, 10, 15 and 10? (a) 15 (b) 4 (c) 7 (d) 10
  7. 7.What is the mode of 10, 7, 7, 10, 13, 7 and 14? (a) 13 (b) 10 (c) 7 (d) 14
  8. 8.The mean of 5 numbers is 14. When the number 32 is added to them, what is the new mean? (a) 23 (b) 18 (c) 14 (d) 17
  9. 9.What is the median of 21, 39, 13, 7 and 38? (a) 22 (b) 13 (c) 38 (d) 21
  10. 10.What is the mean of 19, 14, 17, 20 and 15? (a) 17 (b) 18 (c) 16 (d) 19
  11. 11.What is the mode of 19, 12, 5, 12, 19, 12 and 3? (a) 19 (b) 5 (c) 3 (d) 12
  12. 12.What is the mean of 18, 18, 4, 18, 12 and 14? (a) 13 (b) 15 (c) 12 (d) 14
  13. 13.What is the median of 1, 30, 28, 38, 8, 24 and 34? (a) 30 (b) 24 (c) 38 (d) 28
  14. 14.What is the median of 4, 3, 26, 29 and 2? (a) 3 (b) 5 (c) 26 (d) 4
  15. 15.What is the mean of 7, 5, 14 and 18? (a) 11 (b) 13 (c) 10 (d) 12
  16. 16.What is the mean of 6, 7, 5, 9, 17 and 4? (a) 7 (b) 10 (c) 9 (d) 8
  17. 17.What is the mode of 5, 16, 16, 5, 5, 6 and 3? (a) 5 (b) 3 (c) 6 (d) 16
  18. 18.The mean of 4 numbers is 26. When the number 16 is added to them, what is the new mean? (a) 26 (b) 25 (c) 24 (d) 21
  19. 19.The mean of 5 numbers is 36. When the number 30 is added to them, what is the new mean? (a) 36 (b) 35 (c) 33 (d) 34
  20. 20.What is the mode of 20, 17, 17, 20, 9, 17 and 2? (a) 20 (b) 17 (c) 9 (d) 2
  21. 21.What is the median of 9, 30, 34, 8 and 16? (a) 34 (b) 16 (c) 30 (d) 9
  22. 22.The mean of 4 numbers is 26. When the number 21 is added to them, what is the new mean? (a) 24 (b) 27 (c) 25 (d) 26
  23. 23.What is the mode of 15, 12, 2, 12, 5, 15 and 12? (a) 2 (b) 15 (c) 5 (d) 12
  24. 24.What is the mean of 15, 19, 6, 8 and 7? (a) 10 (b) 12 (c) 13 (d) 11
  25. 25.What is the mean of 5, 16, 12, 11, 17 and 11? (a) 11 (b) 13 (c) 14 (d) 12
  26. 26.What is the mean of 20, 3, 13, 6 and 8? (a) 10 (b) 9 (c) 11 (d) 12
  27. 27.The mean of 9 numbers is 32. When the number 52 is added to them, what is the new mean? (a) 32 (b) 42 (c) 34 (d) 35
  28. 28.What is the mode of 13, 15, 2, 10, 2, 10 and 10? (a) 15 (b) 2 (c) 10 (d) 13
  29. 29.What is the mode of 19, 13, 2, 19, 14, 19 and 2? (a) 19 (b) 2 (c) 13 (d) 14
  30. 30.What is the mean of 4, 3, 16, 2, 7 and 16? (a) 7 (b) 10 (c) 9 (d) 8
  31. 31.What is the median of 30, 29, 17, 11, 34, 13 and 35? (a) 11 (b) 30 (c) 17 (d) 29
  32. 32.The mean of 5 numbers is 15. When the number 21 is added to them, what is the new mean? (a) 15 (b) 16 (c) 17 (d) 18
  33. 33.What is the mode of 5, 10, 7, 5, 6, 5 and 6? (a) 10 (b) 6 (c) 5 (d) 7
  34. 34.What is the mean of 18, 3, 6, 6, 14 and 19? (a) 13 (b) 12 (c) 11 (d) 10
  35. 35.What is the mode of 1, 17, 7, 19, 19, 17 and 19? (a) 19 (b) 7 (c) 1 (d) 17
  36. 36.What is the median of 4, 27, 29, 36 and 34? (a) 26 (b) 34 (c) 27 (d) 29
  37. 37.What is the mode of 18, 11, 18, 3, 3, 3 and 6? (a) 3 (b) 6 (c) 18 (d) 11
  38. 38.The mean of 7 numbers is 37. When the number 45 is added to them, what is the new mean? (a) 39 (b) 37 (c) 38 (d) 41
  39. 39.The mean of 4 numbers is 31. When the number 46 is added to them, what is the new mean? (a) 31 (b) 35 (c) 34 (d) 33
  40. 40.What is the median of 30, 1, 21, 32 and 35? (a) 30 (b) 31 (c) 21 (d) 32

Answer key

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

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