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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 283 · 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 27, 15, 8, 12 and 6? (a) 12 (b) 15 (c) 8 (d) 13
  2. 2.What is the mean of 4, 19, 13, 6, 19 and 11? (a) 12 (b) 14 (c) 13 (d) 11
  3. 3.What is the mode of 8, 3, 18, 7, 7, 18 and 18? (a) 3 (b) 8 (c) 18 (d) 7
  4. 4.The mean of 6 numbers is 18. When the number 25 is added to them, what is the new mean? (a) 19 (b) 20 (c) 21 (d) 18
  5. 5.The mean of 7 numbers is 36. When the number 28 is added to them, what is the new mean? (a) 35 (b) 36 (c) 32 (d) 34
  6. 6.What is the median of 26, 7, 32, 2, 16, 35 and 11? (a) 26 (b) 16 (c) 2 (d) 11
  7. 7.The mean of 7 numbers is 22. When the number 54 is added to them, what is the new mean? (a) 27 (b) 26 (c) 38 (d) 22
  8. 8.What is the mean of 5, 18, 12 and 21? (a) 15 (b) 16 (c) 13 (d) 14
  9. 9.What is the mean of 9, 17, 15 and 23? (a) 18 (b) 15 (c) 16 (d) 17
  10. 10.What is the mode of 3, 17, 18, 5, 3, 5 and 3? (a) 17 (b) 18 (c) 5 (d) 3
  11. 11.The mean of 5 numbers is 22. When the number 46 is added to them, what is the new mean? (a) 27 (b) 22 (c) 34 (d) 26
  12. 12.What is the mode of 8, 12, 7, 7, 18, 8 and 7? (a) 18 (b) 8 (c) 7 (d) 12
  13. 13.What is the mode of 13, 13, 15, 20, 11, 13 and 15? (a) 11 (b) 20 (c) 13 (d) 15
  14. 14.What is the mode of 18, 17, 3, 17, 6, 6 and 6? (a) 18 (b) 17 (c) 3 (d) 6
  15. 15.What is the mode of 6, 6, 17, 17, 4, 6 and 5? (a) 17 (b) 4 (c) 6 (d) 5
  16. 16.What is the median of 3, 17, 26, 34 and 22? (a) 22 (b) 17 (c) 23 (d) 26
  17. 17.What is the mean of 20, 15, 10, 17, 10 and 12? (a) 15 (b) 12 (c) 14 (d) 13
  18. 18.What is the median of 3, 31, 10, 33, 13, 12 and 34? (a) 12 (b) 13 (c) 33 (d) 31
  19. 19.The mean of 9 numbers is 28. When the number 48 is added to them, what is the new mean? (a) 31 (b) 28 (c) 30 (d) 38
  20. 20.What is the mean of 19, 19, 19, 10, 9 and 20? (a) 18 (b) 17 (c) 15 (d) 16
  21. 21.What is the median of 37, 17, 4, 11, 5, 14 and 35? (a) 11 (b) 17 (c) 15 (d) 14
  22. 22.The mean of 5 numbers is 25. When the number 19 is added to them, what is the new mean? (a) 25 (b) 23 (c) 24 (d) 22
  23. 23.What is the mode of 13, 7, 2, 2, 2, 7 and 9? (a) 9 (b) 2 (c) 13 (d) 7
  24. 24.What is the median of 10, 39, 19, 31, 33, 34 and 9? (a) 25 (b) 19 (c) 31 (d) 33
  25. 25.What is the mode of 10, 12, 9, 15, 15, 15 and 10? (a) 10 (b) 12 (c) 9 (d) 15
  26. 26.What is the mode of 4, 20, 1, 8, 20, 4 and 4? (a) 20 (b) 1 (c) 4 (d) 8
  27. 27.The mean of 5 numbers is 31. When the number 19 is added to them, what is the new mean? (a) 29 (b) 31 (c) 30 (d) 25
  28. 28.What is the mean of 8, 4, 12 and 20? (a) 13 (b) 11 (c) 10 (d) 12
  29. 29.What is the median of 12, 19, 24, 9, 20, 28 and 38? (a) 19 (b) 20 (c) 24 (d) 9
  30. 30.What is the median of 35, 19, 2, 26, 8, 15 and 30? (a) 19 (b) 26 (c) 20 (d) 15
  31. 31.What is the median of 29, 30, 18, 3 and 33? (a) 28 (b) 18 (c) 30 (d) 29
  32. 32.What is the mean of 12, 20, 13 and 3? (a) 11 (b) 13 (c) 12 (d) 16
  33. 33.The mean of 7 numbers is 25. When the number 57 is added to them, what is the new mean? (a) 25 (b) 41 (c) 29 (d) 30
  34. 34.The mean of 7 numbers is 14. When the number 6 is added to them, what is the new mean? (a) 10 (b) 12 (c) 14 (d) 13
  35. 35.What is the mean of 18, 13, 3 and 18? (a) 14 (b) 13 (c) 12 (d) 15
  36. 36.The mean of 7 numbers is 21. When the number 37 is added to them, what is the new mean? (a) 24 (b) 29 (c) 21 (d) 23
  37. 37.What is the median of 29, 16, 35, 5, 7, 25 and 10? (a) 16 (b) 10 (c) 25 (d) 5
  38. 38.What is the mode of 16, 10, 13, 16, 18, 10 and 16? (a) 16 (b) 10 (c) 13 (d) 18
  39. 39.What is the median of 16, 3, 33, 10 and 23? (a) 33 (b) 16 (c) 17 (d) 23
  40. 40.What is the median of 6, 4, 36, 13 and 23? (a) 23 (b) 13 (c) 6 (d) 36

Answer key

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

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