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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 817 · 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 12, 5, 18, 14, 5 and 18? (a) 14 (b) 11 (c) 13 (d) 12
  2. 2.What is the mode of 14, 1, 5, 3, 5, 1 and 5? (a) 1 (b) 3 (c) 5 (d) 14
  3. 3.What is the median of 2, 26, 40, 18 and 19? (a) 26 (b) 21 (c) 19 (d) 40
  4. 4.The mean of 8 numbers is 32. When the number 23 is added to them, what is the new mean? (a) 31 (b) 30 (c) 33 (d) 32
  5. 5.What is the mode of 13, 2, 9, 2, 6, 2 and 13? (a) 6 (b) 2 (c) 9 (d) 13
  6. 6.What is the median of 33, 3, 25, 2, 10, 16 and 12? (a) 12 (b) 16 (c) 10 (d) 2
  7. 7.The mean of 3 numbers is 28. When the number 12 is added to them, what is the new mean? (a) 25 (b) 28 (c) 20 (d) 24
  8. 8.The mean of 4 numbers is 37. When the number 52 is added to them, what is the new mean? (a) 37 (b) 41 (c) 40 (d) 39
  9. 9.The mean of 5 numbers is 37. When the number 43 is added to them, what is the new mean? (a) 37 (b) 40 (c) 38 (d) 39
  10. 10.What is the mean of 9, 5, 18, 11, 18 and 11? (a) 14 (b) 12 (c) 13 (d) 11
  11. 11.What is the mode of 8, 13, 13, 16, 9, 13 and 16? (a) 8 (b) 13 (c) 9 (d) 16
  12. 12.The mean of 7 numbers is 35. When the number 27 is added to them, what is the new mean? (a) 35 (b) 33 (c) 31 (d) 34
  13. 13.What is the median of 32, 31, 36, 6, 9, 22 and 39? (a) 25 (b) 6 (c) 31 (d) 32
  14. 14.What is the median of 38, 4, 40, 26 and 12? (a) 40 (b) 24 (c) 38 (d) 26
  15. 15.What is the mean of 7, 17, 13, 19, 18 and 16? (a) 18 (b) 15 (c) 14 (d) 16
  16. 16.What is the mean of 18, 6, 10 and 2? (a) 9 (b) 10 (c) 12 (d) 8
  17. 17.What is the mode of 8, 15, 19, 16, 16, 16 and 8? (a) 19 (b) 16 (c) 15 (d) 8
  18. 18.What is the median of 16, 40, 20, 10, 14, 35 and 28? (a) 16 (b) 20 (c) 10 (d) 28
  19. 19.The mean of 3 numbers is 22. When the number 6 is added to them, what is the new mean? (a) 22 (b) 14 (c) 18 (d) 19
  20. 20.What is the mean of 5, 16, 2, 11 and 6? (a) 9 (b) 7 (c) 8 (d) 10
  21. 21.The mean of 4 numbers is 20. When the number 5 is added to them, what is the new mean? (a) 20 (b) 17 (c) 16 (d) 18
  22. 22.The mean of 3 numbers is 25. When the number 33 is added to them, what is the new mean? (a) 29 (b) 28 (c) 25 (d) 27
  23. 23.What is the mode of 20, 9, 20, 16, 20, 16 and 12? (a) 9 (b) 12 (c) 16 (d) 20
  24. 24.What is the mean of 20, 8, 9 and 3? (a) 10 (b) 8 (c) 11 (d) 9
  25. 25.What is the median of 8, 12, 27, 38, 29, 2 and 22? (a) 12 (b) 27 (c) 22 (d) 38
  26. 26.What is the mode of 2, 4, 2, 2, 16, 17 and 17? (a) 16 (b) 17 (c) 4 (d) 2
  27. 27.What is the median of 20, 12, 34, 8, 14, 7 and 11? (a) 11 (b) 8 (c) 12 (d) 14
  28. 28.What is the mode of 14, 14, 16, 16, 13, 14 and 20? (a) 20 (b) 14 (c) 16 (d) 13
  29. 29.What is the mean of 14, 18, 5 and 19? (a) 14 (b) 13 (c) 16 (d) 15
  30. 30.What is the mode of 8, 7, 8, 7, 17, 5 and 7? (a) 8 (b) 17 (c) 5 (d) 7
  31. 31.What is the mean of 16, 19, 15 and 10? (a) 15 (b) 12 (c) 16 (d) 20
  32. 32.The mean of 7 numbers is 31. When the number 7 is added to them, what is the new mean? (a) 29 (b) 19 (c) 28 (d) 31
  33. 33.What is the mode of 3, 12, 16, 16, 3, 3 and 6? (a) 12 (b) 3 (c) 16 (d) 6
  34. 34.What is the mode of 8, 20, 20, 20, 8, 19 and 10? (a) 10 (b) 20 (c) 19 (d) 8
  35. 35.What is the mean of 13, 6, 5, 20 and 11? (a) 11 (b) 12 (c) 10 (d) 13
  36. 36.What is the mode of 11, 11, 10, 18, 18, 11 and 13? (a) 13 (b) 11 (c) 18 (d) 10
  37. 37.What is the mode of 18, 4, 12, 18, 4, 4 and 19? (a) 4 (b) 19 (c) 12 (d) 18
  38. 38.The mean of 5 numbers is 30. When the number 48 is added to them, what is the new mean? (a) 33 (b) 34 (c) 30 (d) 39
  39. 39.What is the median of 29, 28, 8, 32 and 35? (a) 8 (b) 32 (c) 28 (d) 29
  40. 40.The mean of 5 numbers is 34. When the number 58 is added to them, what is the new mean? (a) 34 (b) 38 (c) 46 (d) 39

Answer key

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

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