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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 527 · 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 18, 5, 19 and 6? (a) 12 (b) 11 (c) 13 (d) 16
  2. 2.What is the mean of 17, 13, 6 and 20? (a) 13 (b) 15 (c) 16 (d) 14
  3. 3.What is the mode of 2, 11, 13, 2, 11, 17 and 2? (a) 2 (b) 17 (c) 13 (d) 11
  4. 4.What is the mean of 20, 15, 2, 12 and 6? (a) 11 (b) 12 (c) 13 (d) 10
  5. 5.What is the mean of 13, 6, 15 and 6? (a) 11 (b) 10 (c) 9 (d) 8
  6. 6.What is the median of 32, 11, 15, 23 and 34? (a) 32 (b) 23 (c) 15 (d) 24
  7. 7.What is the mean of 6, 19, 16, 20, 6 and 5? (a) 12 (b) 14 (c) 11 (d) 13
  8. 8.What is the median of 26, 24, 36, 6 and 4? (a) 6 (b) 36 (c) 24 (d) 26
  9. 9.What is the mean of 14, 18, 3, 5, 8 and 18? (a) 13 (b) 11 (c) 10 (d) 12
  10. 10.The mean of 5 numbers is 40. When the number 34 is added to them, what is the new mean? (a) 38 (b) 37 (c) 40 (d) 39
  11. 11.What is the median of 12, 22, 6, 7, 30, 34 and 32? (a) 30 (b) 7 (c) 12 (d) 22
  12. 12.What is the mode of 14, 6, 11, 11, 12, 11 and 6? (a) 6 (b) 12 (c) 11 (d) 14
  13. 13.What is the median of 28, 25, 34, 27, 8, 20 and 13? (a) 25 (b) 27 (c) 26 (d) 20
  14. 14.What is the mode of 4, 4, 14, 4, 14, 3 and 1? (a) 14 (b) 4 (c) 1 (d) 3
  15. 15.The mean of 5 numbers is 16. When the number 22 is added to them, what is the new mean? (a) 17 (b) 18 (c) 16 (d) 19
  16. 16.What is the mean of 2, 2, 15, 5 and 6? (a) 8 (b) 7 (c) 5 (d) 6
  17. 17.What is the median of 33, 9, 26, 39, 6, 12 and 30? (a) 12 (b) 30 (c) 26 (d) 39
  18. 18.What is the median of 1, 40, 22, 15, 12, 5 and 36? (a) 12 (b) 15 (c) 16 (d) 22
  19. 19.What is the mode of 11, 8, 11, 8, 12, 14 and 8? (a) 12 (b) 8 (c) 14 (d) 11
  20. 20.What is the mean of 3, 14, 3 and 12? (a) 9 (b) 8 (c) 10 (d) 7
  21. 21.The mean of 4 numbers is 14. When the number 9 is added to them, what is the new mean? (a) 13 (b) 14 (c) 12 (d) 15
  22. 22.The mean of 3 numbers is 17. When the number 25 is added to them, what is the new mean? (a) 19 (b) 20 (c) 17 (d) 21
  23. 23.What is the mode of 13, 18, 18, 9, 12, 12 and 18? (a) 13 (b) 12 (c) 18 (d) 9
  24. 24.What is the mode of 1, 10, 5, 1, 4, 5 and 1? (a) 1 (b) 5 (c) 10 (d) 4
  25. 25.What is the mode of 6, 6, 16, 2, 16, 5 and 16? (a) 5 (b) 2 (c) 6 (d) 16
  26. 26.What is the mean of 7, 17, 8 and 4? (a) 12 (b) 8 (c) 10 (d) 9
  27. 27.The mean of 4 numbers is 20. When the number 10 is added to them, what is the new mean? (a) 20 (b) 19 (c) 15 (d) 18
  28. 28.What is the mean of 10, 13, 18 and 11? (a) 14 (b) 12 (c) 15 (d) 13
  29. 29.What is the median of 8, 10, 20, 17, 32, 24 and 22? (a) 17 (b) 19 (c) 22 (d) 20
  30. 30.What is the mean of 15, 3, 17, 15 and 15? (a) 14 (b) 12 (c) 15 (d) 13
  31. 31.The mean of 4 numbers is 28. When the number 13 is added to them, what is the new mean? (a) 25 (b) 28 (c) 24 (d) 26
  32. 32.What is the mode of 6, 6, 17, 17, 18, 17 and 8? (a) 6 (b) 17 (c) 8 (d) 18
  33. 33.What is the mode of 2, 1, 2, 2, 20, 10 and 10? (a) 20 (b) 1 (c) 10 (d) 2
  34. 34.What is the median of 26, 1, 33, 40, 5, 19 and 12? (a) 40 (b) 26 (c) 12 (d) 19
  35. 35.What is the mode of 14, 12, 12, 4, 14, 12 and 5? (a) 4 (b) 5 (c) 12 (d) 14
  36. 36.What is the median of 30, 6, 5, 38 and 22? (a) 30 (b) 6 (c) 5 (d) 22
  37. 37.What is the mean of 3, 16, 3, 2, 4 and 14? (a) 6 (b) 8 (c) 9 (d) 7
  38. 38.What is the mean of 13, 10, 6, 10 and 16? (a) 12 (b) 10 (c) 11 (d) 13
  39. 39.The mean of 9 numbers is 11. When the number 1 is added to them, what is the new mean? (a) 10 (b) 11 (c) 6 (d) 9
  40. 40.What is the mean of 13, 17, 7 and 15? (a) 13 (b) 12 (c) 15 (d) 14

Answer key

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

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