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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 186 · 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 18, 1, 34, 7 and 39? (a) 19 (b) 18 (c) 7 (d) 34
  2. 2.What is the mean of 16, 9, 5 and 6? (a) 8 (b) 10 (c) 12 (d) 9
  3. 3.The mean of 3 numbers is 15. When the number 31 is added to them, what is the new mean? (a) 20 (b) 15 (c) 19 (d) 23
  4. 4.What is the median of 26, 40, 16, 37 and 27? (a) 37 (b) 26 (c) 27 (d) 16
  5. 5.What is the median of 39, 10, 14, 22 and 25? (a) 23 (b) 25 (c) 14 (d) 22
  6. 6.What is the median of 37, 34, 36, 23 and 11? (a) 34 (b) 35 (c) 23 (d) 36
  7. 7.What is the median of 34, 3, 1, 10, 22, 32 and 13? (a) 14 (b) 13 (c) 10 (d) 22
  8. 8.The mean of 7 numbers is 14. When the number 38 is added to them, what is the new mean? (a) 14 (b) 26 (c) 17 (d) 18
  9. 9.What is the median of 21, 28, 19, 9 and 25? (a) 25 (b) 19 (c) 21 (d) 22
  10. 10.What is the mode of 18, 1, 18, 1, 13, 20 and 18? (a) 20 (b) 1 (c) 13 (d) 18
  11. 11.The mean of 3 numbers is 17. When the number 13 is added to them, what is the new mean? (a) 18 (b) 16 (c) 17 (d) 15
  12. 12.What is the median of 30, 20, 1, 9 and 27? (a) 20 (b) 27 (c) 9 (d) 1
  13. 13.The mean of 7 numbers is 39. When the number 23 is added to them, what is the new mean? (a) 31 (b) 38 (c) 39 (d) 37
  14. 14.What is the mean of 8, 3, 14 and 19? (a) 10 (b) 13 (c) 11 (d) 12
  15. 15.The mean of 5 numbers is 37. When the number 25 is added to them, what is the new mean? (a) 36 (b) 31 (c) 35 (d) 37
  16. 16.What is the mode of 14, 2, 2, 18, 1, 1 and 2? (a) 18 (b) 14 (c) 2 (d) 1
  17. 17.What is the median of 17, 11, 26, 23, 24, 5 and 9? (a) 23 (b) 11 (c) 17 (d) 18
  18. 18.What is the mean of 10, 14, 18, 8 and 15? (a) 15 (b) 13 (c) 14 (d) 12
  19. 19.What is the mode of 8, 5, 17, 17, 8, 8 and 7? (a) 17 (b) 8 (c) 5 (d) 7
  20. 20.What is the mode of 14, 11, 9, 9, 16, 11 and 9? (a) 9 (b) 14 (c) 16 (d) 11
  21. 21.What is the median of 8, 14, 34, 39 and 38? (a) 34 (b) 35 (c) 38 (d) 14
  22. 22.The mean of 4 numbers is 16. When the number 6 is added to them, what is the new mean? (a) 15 (b) 16 (c) 14 (d) 11
  23. 23.What is the mean of 3, 15, 12, 14 and 6? (a) 9 (b) 10 (c) 12 (d) 11
  24. 24.What is the mode of 1, 7, 20, 20, 20, 7 and 2? (a) 7 (b) 2 (c) 1 (d) 20
  25. 25.What is the mean of 5, 19, 3 and 9? (a) 10 (b) 8 (c) 9 (d) 12
  26. 26.What is the median of 5, 3, 33, 39 and 25? (a) 5 (b) 33 (c) 21 (d) 25
  27. 27.What is the mean of 4, 17, 14, 5, 6 and 20? (a) 12 (b) 11 (c) 10 (d) 13
  28. 28.What is the median of 6, 25, 12, 23, 34, 5 and 28? (a) 25 (b) 23 (c) 19 (d) 12
  29. 29.The mean of 3 numbers is 36. When the number 44 is added to them, what is the new mean? (a) 39 (b) 40 (c) 36 (d) 38
  30. 30.The mean of 5 numbers is 16. When the number 22 is added to them, what is the new mean? (a) 18 (b) 16 (c) 19 (d) 17
  31. 31.What is the mean of 14, 18, 8 and 20? (a) 15 (b) 12 (c) 20 (d) 16
  32. 32.The mean of 3 numbers is 25. When the number 9 is added to them, what is the new mean? (a) 22 (b) 17 (c) 25 (d) 21
  33. 33.What is the mode of 10, 10, 5, 5, 2, 10 and 13? (a) 13 (b) 2 (c) 5 (d) 10
  34. 34.What is the mean of 15, 5, 17, 7 and 6? (a) 12 (b) 10 (c) 11 (d) 9
  35. 35.The mean of 3 numbers is 14. When the number 26 is added to them, what is the new mean? (a) 14 (b) 20 (c) 17 (d) 18
  36. 36.What is the mean of 16, 10, 13, 17 and 9? (a) 14 (b) 12 (c) 15 (d) 13
  37. 37.What is the mode of 7, 4, 9, 9, 16, 16 and 9? (a) 9 (b) 7 (c) 16 (d) 4
  38. 38.What is the mode of 5, 2, 1, 2, 5, 5 and 7? (a) 7 (b) 1 (c) 2 (d) 5
  39. 39.What is the mean of 6, 17, 15, 19 and 8? (a) 15 (b) 14 (c) 13 (d) 12
  40. 40.What is the mode of 5, 5, 14, 8, 5, 16 and 8? (a) 14 (b) 8 (c) 16 (d) 5

Answer key

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

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