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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 353 · 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 25, 18, 13, 14, 38, 30 and 35? (a) 30 (b) 18 (c) 25 (d) 14
  2. 2.What is the mode of 18, 4, 19, 18, 4, 18 and 3? (a) 4 (b) 19 (c) 3 (d) 18
  3. 3.What is the mean of 20, 5, 5, 10, 20 and 12? (a) 11 (b) 14 (c) 13 (d) 12
  4. 4.What is the median of 37, 9, 1, 4, 6, 8 and 33? (a) 4 (b) 14 (c) 9 (d) 8
  5. 5.What is the mean of 11, 11, 14, 15, 12 and 9? (a) 11 (b) 12 (c) 13 (d) 14
  6. 6.What is the median of 39, 26, 18, 22, 25, 7 and 15? (a) 23 (b) 18 (c) 22 (d) 25
  7. 7.What is the median of 10, 12, 34, 39 and 32? (a) 12 (b) 32 (c) 33 (d) 34
  8. 8.What is the mode of 11, 6, 19, 4, 11, 6 and 11? (a) 19 (b) 11 (c) 4 (d) 6
  9. 9.What is the median of 27, 5, 28, 1 and 39? (a) 28 (b) 20 (c) 27 (d) 5
  10. 10.The mean of 5 numbers is 29. When the number 41 is added to them, what is the new mean? (a) 29 (b) 32 (c) 31 (d) 35
  11. 11.What is the median of 17, 1, 34, 37, 38, 24 and 25? (a) 24 (b) 25 (c) 37 (d) 34
  12. 12.The mean of 3 numbers is 25. When the number 17 is added to them, what is the new mean? (a) 24 (b) 23 (c) 21 (d) 25
  13. 13.What is the mode of 18, 20, 20, 19, 19, 19 and 14? (a) 20 (b) 19 (c) 14 (d) 18
  14. 14.What is the median of 26, 19, 2, 30 and 14? (a) 26 (b) 2 (c) 14 (d) 19
  15. 15.What is the mean of 16, 19, 6, 16 and 3? (a) 15 (b) 13 (c) 10 (d) 12
  16. 16.What is the median of 4, 5, 9, 23 and 27? (a) 5 (b) 23 (c) 9 (d) 10
  17. 17.What is the mean of 10, 14, 8 and 16? (a) 12 (b) 13 (c) 16 (d) 11
  18. 18.What is the median of 15, 24, 33, 25 and 22? (a) 24 (b) 25 (c) 22 (d) 33
  19. 19.The mean of 6 numbers is 40. When the number 26 is added to them, what is the new mean? (a) 38 (b) 39 (c) 40 (d) 33
  20. 20.What is the mean of 6, 5, 18, 20 and 16? (a) 15 (b) 12 (c) 13 (d) 14
  21. 21.The mean of 6 numbers is 38. When the number 59 is added to them, what is the new mean? (a) 41 (b) 40 (c) 38 (d) 42
  22. 22.The mean of 8 numbers is 33. When the number 24 is added to them, what is the new mean? (a) 31 (b) 33 (c) 34 (d) 32
  23. 23.What is the mode of 1, 1, 2, 9, 14, 14 and 1? (a) 9 (b) 14 (c) 1 (d) 2
  24. 24.What is the mode of 9, 9, 3, 5, 15, 9 and 3? (a) 15 (b) 3 (c) 9 (d) 5
  25. 25.What is the mode of 11, 8, 7, 8, 7, 13 and 7? (a) 13 (b) 7 (c) 11 (d) 8
  26. 26.What is the median of 3, 35, 1, 14, 20, 21 and 29? (a) 14 (b) 20 (c) 19 (d) 21
  27. 27.The mean of 9 numbers is 18. When the number 48 is added to them, what is the new mean? (a) 18 (b) 22 (c) 33 (d) 21
  28. 28.What is the median of 34, 17, 32, 21 and 8? (a) 32 (b) 17 (c) 22 (d) 21
  29. 29.The mean of 5 numbers is 31. When the number 43 is added to them, what is the new mean? (a) 31 (b) 37 (c) 33 (d) 34
  30. 30.What is the mean of 5, 4, 15 and 16? (a) 11 (b) 10 (c) 8 (d) 9
  31. 31.What is the mean of 6, 5, 15, 20, 6 and 20? (a) 11 (b) 12 (c) 13 (d) 14
  32. 32.What is the median of 6, 36, 9, 7 and 2? (a) 12 (b) 7 (c) 6 (d) 9
  33. 33.What is the mode of 2, 18, 5, 5, 19, 18 and 5? (a) 19 (b) 5 (c) 18 (d) 2
  34. 34.What is the mode of 2, 10, 2, 17, 15, 15 and 2? (a) 17 (b) 2 (c) 10 (d) 15
  35. 35.What is the mean of 14, 15, 16, 5, 20 and 8? (a) 13 (b) 15 (c) 14 (d) 12
  36. 36.The mean of 5 numbers is 37. When the number 43 is added to them, what is the new mean? (a) 39 (b) 37 (c) 38 (d) 40
  37. 37.What is the mean of 12, 13, 15, 2 and 13? (a) 11 (b) 13 (c) 12 (d) 10
  38. 38.What is the mode of 11, 13, 13, 3, 11, 1 and 11? (a) 3 (b) 13 (c) 1 (d) 11
  39. 39.What is the median of 35, 6, 13, 18 and 8? (a) 18 (b) 8 (c) 16 (d) 13
  40. 40.The mean of 8 numbers is 16. When the number 7 is added to them, what is the new mean? (a) 15 (b) 14 (c) 17 (d) 16

Answer key

  1. 25
  2. 18
  3. 12
  4. 8
  5. 12
  6. 22
  7. 32
  8. 11
  9. 27
  10. 31
  11. 25
  12. 23
  13. 19
  14. 19
  15. 12
  16. 9
  17. 12
  18. 24
  19. 38
  20. 13
  21. 41
  22. 32
  23. 1
  24. 9
  25. 7
  26. 20
  27. 21
  28. 21
  29. 33
  30. 10
  31. 12
  32. 7
  33. 5
  34. 2
  35. 13
  36. 38
  37. 11
  38. 11
  39. 13
  40. 15

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