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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 258 · 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 2, 4, 12, 13 and 27? (a) 4 (b) 13 (c) 12 (d) 11
  2. 2.The mean of 4 numbers is 34. When the number 49 is added to them, what is the new mean? (a) 38 (b) 34 (c) 37 (d) 36
  3. 3.What is the mode of 20, 7, 20, 7, 8, 10 and 20? (a) 8 (b) 20 (c) 10 (d) 7
  4. 4.The mean of 8 numbers is 11. When the number 20 is added to them, what is the new mean? (a) 11 (b) 12 (c) 13 (d) 14
  5. 5.The mean of 4 numbers is 39. When the number 19 is added to them, what is the new mean? (a) 39 (b) 36 (c) 35 (d) 29
  6. 6.The mean of 5 numbers is 35. When the number 17 is added to them, what is the new mean? (a) 26 (b) 33 (c) 32 (d) 35
  7. 7.What is the median of 27, 12, 15, 7, 37, 35 and 8? (a) 27 (b) 12 (c) 7 (d) 15
  8. 8.What is the median of 38, 22, 11, 30, 31, 17 and 33? (a) 31 (b) 22 (c) 26 (d) 30
  9. 9.What is the median of 31, 3, 16, 35 and 27? (a) 28 (b) 16 (c) 27 (d) 31
  10. 10.What is the mean of 7, 6, 11 and 20? (a) 11 (b) 10 (c) 12 (d) 13
  11. 11.What is the mode of 19, 3, 5, 4, 19, 3 and 3? (a) 5 (b) 19 (c) 4 (d) 3
  12. 12.What is the median of 31, 11, 35, 9 and 38? (a) 32 (b) 31 (c) 35 (d) 11
  13. 13.What is the mode of 1, 2, 1, 4, 1, 17 and 2? (a) 17 (b) 1 (c) 4 (d) 2
  14. 14.What is the mean of 11, 9, 19 and 9? (a) 11 (b) 13 (c) 12 (d) 16
  15. 15.What is the median of 11, 31, 6, 21 and 13? (a) 6 (b) 21 (c) 13 (d) 11
  16. 16.The mean of 9 numbers is 34. When the number 14 is added to them, what is the new mean? (a) 32 (b) 24 (c) 34 (d) 33
  17. 17.What is the mode of 8, 12, 8, 3, 1, 12 and 12? (a) 8 (b) 12 (c) 3 (d) 1
  18. 18.What is the mean of 2, 14, 6 and 10? (a) 8 (b) 7 (c) 10 (d) 9
  19. 19.What is the mode of 13, 12, 14, 13, 20, 13 and 12? (a) 13 (b) 14 (c) 12 (d) 20
  20. 20.What is the mean of 17, 20, 17, 9, 2 and 7? (a) 11 (b) 13 (c) 12 (d) 14
  21. 21.What is the mode of 17, 17, 16, 12, 17, 14 and 12? (a) 16 (b) 17 (c) 14 (d) 12
  22. 22.The mean of 3 numbers is 23. When the number 39 is added to them, what is the new mean? (a) 27 (b) 23 (c) 31 (d) 28
  23. 23.What is the mean of 2, 2, 13 and 11? (a) 6 (b) 8 (c) 9 (d) 7
  24. 24.The mean of 5 numbers is 34. When the number 10 is added to them, what is the new mean? (a) 22 (b) 31 (c) 30 (d) 34
  25. 25.What is the mean of 19, 4, 17, 3, 12 and 5? (a) 11 (b) 9 (c) 12 (d) 10
  26. 26.What is the mean of 9, 3, 3 and 9? (a) 6 (b) 8 (c) 5 (d) 7
  27. 27.The mean of 6 numbers is 36. When the number 29 is added to them, what is the new mean? (a) 35 (b) 34 (c) 36 (d) 37
  28. 28.What is the mode of 3, 1, 3, 18, 1, 1 and 2? (a) 1 (b) 2 (c) 3 (d) 18
  29. 29.What is the median of 25, 7, 39, 32 and 2? (a) 21 (b) 39 (c) 32 (d) 25
  30. 30.What is the mean of 19, 13, 10 and 10? (a) 14 (b) 13 (c) 15 (d) 12
  31. 31.What is the mean of 6, 11, 20, 17 and 21? (a) 17 (b) 15 (c) 16 (d) 14
  32. 32.What is the median of 20, 28, 21, 27 and 3? (a) 21 (b) 22 (c) 20 (d) 27
  33. 33.What is the mode of 13, 2, 2, 10, 7, 2 and 10? (a) 13 (b) 7 (c) 2 (d) 10
  34. 34.What is the mode of 9, 9, 4, 9, 17, 4 and 20? (a) 17 (b) 4 (c) 20 (d) 9
  35. 35.The mean of 7 numbers is 22. When the number 38 is added to them, what is the new mean? (a) 22 (b) 24 (c) 25 (d) 30
  36. 36.What is the mean of 4, 14, 7, 4, 3 and 10? (a) 7 (b) 9 (c) 6 (d) 8
  37. 37.What is the mean of 16, 19, 14, 7 and 14? (a) 16 (b) 15 (c) 14 (d) 13
  38. 38.What is the median of 2, 6, 30, 1 and 10? (a) 2 (b) 6 (c) 10 (d) 30
  39. 39.What is the mean of 15, 8, 17, 16, 19 and 3? (a) 12 (b) 13 (c) 14 (d) 15
  40. 40.What is the mean of 19, 2, 11 and 12? (a) 12 (b) 13 (c) 10 (d) 11

Answer key

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

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