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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 388 · 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 mean of 11, 3, 5, 15 and 6? (a) 9 (b) 10 (c) 8 (d) 7
  2. 2.What is the mean of 12, 8, 12, 11 and 7? (a) 9 (b) 10 (c) 12 (d) 11
  3. 3.What is the median of 39, 38, 40, 18 and 1? (a) 39 (b) 40 (c) 38 (d) 18
  4. 4.The mean of 8 numbers is 31. When the number 13 is added to them, what is the new mean? (a) 31 (b) 22 (c) 30 (d) 29
  5. 5.What is the mean of 19, 13, 16 and 12? (a) 20 (b) 15 (c) 12 (d) 16
  6. 6.What is the mean of 12, 11, 8 and 5? (a) 12 (b) 10 (c) 8 (d) 9
  7. 7.What is the mean of 7, 20, 11, 19, 7 and 8? (a) 11 (b) 13 (c) 14 (d) 12
  8. 8.The mean of 6 numbers is 34. When the number 55 is added to them, what is the new mean? (a) 37 (b) 34 (c) 36 (d) 38
  9. 9.The mean of 6 numbers is 28. When the number 42 is added to them, what is the new mean? (a) 30 (b) 28 (c) 35 (d) 31
  10. 10.What is the mean of 2, 7, 19 and 16? (a) 13 (b) 11 (c) 10 (d) 12
  11. 11.The mean of 7 numbers is 39. When the number 23 is added to them, what is the new mean? (a) 31 (b) 39 (c) 38 (d) 37
  12. 12.What is the median of 1, 3, 24, 2, 34, 21 and 38? (a) 2 (b) 3 (c) 21 (d) 24
  13. 13.What is the median of 8, 10, 12, 37 and 23? (a) 18 (b) 23 (c) 12 (d) 10
  14. 14.The mean of 8 numbers is 16. When the number 52 is added to them, what is the new mean? (a) 34 (b) 20 (c) 16 (d) 21
  15. 15.What is the mode of 2, 2, 3, 3, 3, 13 and 14? (a) 2 (b) 13 (c) 3 (d) 14
  16. 16.What is the mean of 3, 16, 7, 7 and 22? (a) 11 (b) 13 (c) 12 (d) 10
  17. 17.What is the median of 9, 18, 14, 36 and 11? (a) 18 (b) 15 (c) 11 (d) 14
  18. 18.What is the mean of 3, 6, 6 and 9? (a) 5 (b) 6 (c) 8 (d) 7
  19. 19.What is the median of 30, 38, 1, 5, 12, 4 and 15? (a) 5 (b) 13 (c) 15 (d) 12
  20. 20.What is the mean of 17, 13, 7, 4 and 9? (a) 11 (b) 12 (c) 10 (d) 9
  21. 21.What is the mode of 1, 6, 16, 1, 6, 6 and 10? (a) 16 (b) 10 (c) 6 (d) 1
  22. 22.What is the median of 26, 38, 10, 39, 31, 11 and 4? (a) 31 (b) 39 (c) 11 (d) 26
  23. 23.What is the mode of 6, 5, 14, 12, 14, 12 and 12? (a) 5 (b) 14 (c) 6 (d) 12
  24. 24.What is the mean of 11, 3, 5 and 5? (a) 5 (b) 7 (c) 6 (d) 8
  25. 25.What is the median of 7, 38, 22, 31, 1, 17 and 16? (a) 31 (b) 22 (c) 16 (d) 17
  26. 26.What is the median of 30, 7, 18, 11, 28, 6 and 4? (a) 11 (b) 18 (c) 7 (d) 12
  27. 27.The mean of 4 numbers is 11. When the number 16 is added to them, what is the new mean? (a) 11 (b) 13 (c) 12 (d) 14
  28. 28.What is the mean of 4, 4, 15 and 13? (a) 12 (b) 10 (c) 8 (d) 9
  29. 29.What is the mean of 9, 18, 20, 7 and 6? (a) 10 (b) 12 (c) 13 (d) 15
  30. 30.What is the median of 14, 29, 26, 7, 5, 20 and 2? (a) 7 (b) 15 (c) 14 (d) 20
  31. 31.What is the median of 32, 33, 17, 23, 7, 14 and 1? (a) 14 (b) 18 (c) 17 (d) 23
  32. 32.What is the mode of 1, 16, 1, 2, 16, 8 and 16? (a) 2 (b) 16 (c) 8 (d) 1
  33. 33.What is the mode of 7, 5, 9, 8, 8, 9 and 8? (a) 9 (b) 7 (c) 5 (d) 8
  34. 34.The mean of 5 numbers is 35. When the number 11 is added to them, what is the new mean? (a) 35 (b) 23 (c) 32 (d) 31
  35. 35.What is the mean of 3, 15, 3, 7, 4 and 10? (a) 7 (b) 6 (c) 8 (d) 9
  36. 36.What is the median of 10, 40, 37, 35 and 18? (a) 28 (b) 35 (c) 37 (d) 18
  37. 37.What is the mean of 5, 17, 14, 2, 10 and 12? (a) 12 (b) 11 (c) 9 (d) 10
  38. 38.What is the median of 21, 20, 24, 37 and 8? (a) 20 (b) 24 (c) 21 (d) 22
  39. 39.What is the mode of 19, 20, 11, 19, 5, 5 and 5? (a) 11 (b) 19 (c) 20 (d) 5
  40. 40.What is the mean of 9, 10, 7, 9 and 20? (a) 13 (b) 11 (c) 10 (d) 12

Answer key

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

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