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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 508 · 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 28, 3, 2, 12 and 32? (a) 3 (b) 28 (c) 2 (d) 12
  2. 2.What is the mean of 18, 20, 14 and 16? (a) 18 (b) 16 (c) 19 (d) 17
  3. 3.The mean of 3 numbers is 21. When the number 17 is added to them, what is the new mean? (a) 22 (b) 21 (c) 20 (d) 19
  4. 4.The mean of 4 numbers is 40. When the number 60 is added to them, what is the new mean? (a) 44 (b) 45 (c) 50 (d) 40
  5. 5.What is the median of 7, 30, 6, 21 and 28? (a) 6 (b) 7 (c) 21 (d) 28
  6. 6.What is the median of 6, 16, 35, 25, 8, 24 and 7? (a) 25 (b) 16 (c) 8 (d) 24
  7. 7.What is the mean of 14, 11, 7, 5, 2 and 9? (a) 7 (b) 8 (c) 9 (d) 10
  8. 8.The mean of 9 numbers is 35. When the number 65 is added to them, what is the new mean? (a) 38 (b) 50 (c) 35 (d) 39
  9. 9.What is the mean of 5, 5, 2, 17 and 21? (a) 9 (b) 12 (c) 11 (d) 10
  10. 10.What is the median of 21, 18, 2, 8 and 32? (a) 8 (b) 21 (c) 2 (d) 18
  11. 11.What is the mode of 3, 10, 10, 3, 16, 13 and 10? (a) 10 (b) 16 (c) 13 (d) 3
  12. 12.The mean of 7 numbers is 11. When the number 3 is added to them, what is the new mean? (a) 11 (b) 9 (c) 10 (d) 7
  13. 13.The mean of 3 numbers is 21. When the number 13 is added to them, what is the new mean? (a) 20 (b) 17 (c) 21 (d) 19
  14. 14.The mean of 7 numbers is 11. When the number 19 is added to them, what is the new mean? (a) 15 (b) 13 (c) 12 (d) 11
  15. 15.What is the mean of 6, 12, 18 and 20? (a) 14 (b) 15 (c) 16 (d) 13
  16. 16.The mean of 3 numbers is 36. When the number 40 is added to them, what is the new mean? (a) 36 (b) 38 (c) 39 (d) 37
  17. 17.What is the mean of 15, 3, 3, 16, 19 and 22? (a) 14 (b) 13 (c) 15 (d) 12
  18. 18.What is the median of 26, 32, 27, 2, 20, 16 and 21? (a) 2 (b) 20 (c) 21 (d) 26
  19. 19.What is the mode of 9, 10, 9, 12, 13, 10 and 9? (a) 12 (b) 10 (c) 9 (d) 13
  20. 20.What is the mean of 7, 17, 20 and 8? (a) 12 (b) 15 (c) 14 (d) 13
  21. 21.What is the median of 2, 39, 33, 37, 40, 17 and 15? (a) 33 (b) 37 (c) 34 (d) 17
  22. 22.What is the mode of 2, 4, 2, 4, 3, 15 and 4? (a) 3 (b) 15 (c) 2 (d) 4
  23. 23.The mean of 5 numbers is 34. When the number 58 is added to them, what is the new mean? (a) 38 (b) 46 (c) 34 (d) 39
  24. 24.What is the median of 28, 15, 25, 11 and 36? (a) 15 (b) 25 (c) 28 (d) 23
  25. 25.The mean of 7 numbers is 21. When the number 29 is added to them, what is the new mean? (a) 23 (b) 21 (c) 22 (d) 25
  26. 26.What is the mode of 20, 12, 6, 9, 12, 20 and 12? (a) 12 (b) 9 (c) 6 (d) 20
  27. 27.The mean of 3 numbers is 32. When the number 36 is added to them, what is the new mean? (a) 35 (b) 32 (c) 33 (d) 34
  28. 28.The mean of 6 numbers is 40. When the number 12 is added to them, what is the new mean? (a) 26 (b) 40 (c) 36 (d) 37
  29. 29.The mean of 4 numbers is 26. When the number 16 is added to them, what is the new mean? (a) 25 (b) 24 (c) 26 (d) 21
  30. 30.What is the median of 21, 2, 4, 25 and 33? (a) 17 (b) 21 (c) 4 (d) 25
  31. 31.The mean of 9 numbers is 32. When the number 52 is added to them, what is the new mean? (a) 32 (b) 35 (c) 42 (d) 34
  32. 32.What is the mean of 12, 8, 5 and 15? (a) 8 (b) 9 (c) 10 (d) 11
  33. 33.What is the median of 2, 26, 5, 14, 25, 24 and 11? (a) 24 (b) 15 (c) 14 (d) 11
  34. 34.The mean of 6 numbers is 33. When the number 5 is added to them, what is the new mean? (a) 19 (b) 33 (c) 30 (d) 29
  35. 35.What is the mean of 17, 4, 16, 14, 7 and 20? (a) 15 (b) 12 (c) 13 (d) 14
  36. 36.The mean of 6 numbers is 37. When the number 51 is added to them, what is the new mean? (a) 44 (b) 37 (c) 39 (d) 40
  37. 37.The mean of 5 numbers is 23. When the number 5 is added to them, what is the new mean? (a) 14 (b) 20 (c) 23 (d) 21
  38. 38.The mean of 5 numbers is 39. When the number 57 is added to them, what is the new mean? (a) 48 (b) 42 (c) 43 (d) 39
  39. 39.What is the mean of 3, 6, 17, 2 and 12? (a) 10 (b) 7 (c) 8 (d) 9
  40. 40.What is the mode of 16, 18, 16, 19, 18, 18 and 2? (a) 19 (b) 16 (c) 18 (d) 2

Answer key

  1. 12
  2. 17
  3. 20
  4. 44
  5. 21
  6. 16
  7. 8
  8. 38
  9. 10
  10. 18
  11. 10
  12. 10
  13. 19
  14. 12
  15. 14
  16. 37
  17. 13
  18. 21
  19. 9
  20. 13
  21. 33
  22. 4
  23. 38
  24. 25
  25. 22
  26. 12
  27. 33
  28. 36
  29. 24
  30. 21
  31. 34
  32. 10
  33. 14
  34. 29
  35. 13
  36. 39
  37. 20
  38. 42
  39. 8
  40. 18

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