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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 494 · 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 1, 26, 24, 36, 23, 40 and 3? (a) 23 (b) 36 (c) 26 (d) 24
  2. 2.What is the median of 40, 5, 26, 20, 18, 24 and 27? (a) 24 (b) 26 (c) 25 (d) 20
  3. 3.The mean of 5 numbers is 32. When the number 56 is added to them, what is the new mean? (a) 37 (b) 32 (c) 36 (d) 44
  4. 4.What is the mode of 16, 16, 7, 10, 16, 2 and 7? (a) 2 (b) 16 (c) 7 (d) 10
  5. 5.The mean of 9 numbers is 12. When the number 22 is added to them, what is the new mean? (a) 17 (b) 14 (c) 12 (d) 13
  6. 6.What is the median of 21, 4, 33, 15 and 11? (a) 21 (b) 15 (c) 33 (d) 11
  7. 7.What is the mean of 11, 16, 14, 5 and 19? (a) 15 (b) 13 (c) 14 (d) 12
  8. 8.What is the mean of 19, 3, 6, 11, 9 and 12? (a) 9 (b) 10 (c) 12 (d) 11
  9. 9.What is the median of 23, 30, 12, 36, 8, 7 and 19? (a) 19 (b) 23 (c) 36 (d) 12
  10. 10.What is the mean of 20, 12, 10 and 2? (a) 12 (b) 13 (c) 11 (d) 10
  11. 11.What is the mean of 18, 8, 20 and 10? (a) 15 (b) 14 (c) 16 (d) 13
  12. 12.What is the median of 3, 19, 35, 2, 10, 29 and 15? (a) 15 (b) 2 (c) 19 (d) 10
  13. 13.The mean of 8 numbers is 34. When the number 52 is added to them, what is the new mean? (a) 43 (b) 37 (c) 36 (d) 34
  14. 14.What is the mode of 18, 18, 17, 17, 17, 15 and 16? (a) 16 (b) 18 (c) 15 (d) 17
  15. 15.What is the median of 20, 29, 38, 21 and 40? (a) 30 (b) 38 (c) 29 (d) 21
  16. 16.What is the mode of 17, 11, 11, 11, 3, 3 and 18? (a) 3 (b) 17 (c) 18 (d) 11
  17. 17.What is the mode of 12, 19, 12, 18, 12, 3 and 18? (a) 3 (b) 19 (c) 18 (d) 12
  18. 18.What is the median of 3, 20, 38, 37 and 18? (a) 18 (b) 38 (c) 37 (d) 20
  19. 19.What is the mean of 4, 19, 13, 7 and 7? (a) 11 (b) 12 (c) 9 (d) 10
  20. 20.What is the mean of 19, 4, 9 and 4? (a) 10 (b) 9 (c) 12 (d) 8
  21. 21.What is the mode of 2, 3, 3, 2, 3, 6 and 19? (a) 2 (b) 19 (c) 6 (d) 3
  22. 22.What is the median of 33, 17, 6, 31 and 20? (a) 6 (b) 20 (c) 17 (d) 31
  23. 23.What is the mean of 17, 8, 20, 17 and 13? (a) 16 (b) 14 (c) 17 (d) 15
  24. 24.What is the mean of 13, 6, 5, 6, 10 and 20? (a) 12 (b) 11 (c) 10 (d) 9
  25. 25.What is the mean of 15, 12, 14, 11, 14 and 18? (a) 15 (b) 12 (c) 14 (d) 13
  26. 26.What is the median of 35, 3, 32, 20, 31, 29 and 17? (a) 20 (b) 29 (c) 31 (d) 30
  27. 27.What is the median of 10, 40, 8, 3 and 23? (a) 11 (b) 10 (c) 8 (d) 23
  28. 28.What is the mode of 13, 7, 7, 13, 7, 5 and 10? (a) 13 (b) 10 (c) 5 (d) 7
  29. 29.What is the mode of 1, 13, 11, 1, 13, 19 and 13? (a) 11 (b) 13 (c) 19 (d) 1
  30. 30.The mean of 5 numbers is 31. When the number 43 is added to them, what is the new mean? (a) 33 (b) 37 (c) 31 (d) 34
  31. 31.What is the median of 36, 19, 2, 32, 25, 18 and 14? (a) 18 (b) 32 (c) 19 (d) 25
  32. 32.The mean of 3 numbers is 20. When the number 32 is added to them, what is the new mean? (a) 23 (b) 20 (c) 26 (d) 24
  33. 33.What is the mean of 10, 13, 9, 18, 14 and 20? (a) 12 (b) 15 (c) 13 (d) 14
  34. 34.What is the mean of 3, 9, 7, 19, 14 and 20? (a) 11 (b) 13 (c) 14 (d) 12
  35. 35.What is the mean of 5, 7, 9, 19 and 15? (a) 10 (b) 11 (c) 13 (d) 12
  36. 36.What is the mode of 3, 3, 2, 17, 15, 15 and 15? (a) 17 (b) 15 (c) 2 (d) 3
  37. 37.The mean of 9 numbers is 36. When the number 66 is added to them, what is the new mean? (a) 51 (b) 40 (c) 36 (d) 39
  38. 38.What is the mean of 6, 19, 20 and 7? (a) 14 (b) 15 (c) 12 (d) 13
  39. 39.What is the median of 4, 24, 2, 35 and 12? (a) 2 (b) 12 (c) 24 (d) 4
  40. 40.The mean of 4 numbers is 17. When the number 2 is added to them, what is the new mean? (a) 17 (b) 15 (c) 13 (d) 14

Answer key

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

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