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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 137 · 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 mode of 7, 6, 8, 1, 6, 7 and 6? (a) 6 (b) 1 (c) 8 (d) 7
  2. 2.The mean of 8 numbers is 21. When the number 3 is added to them, what is the new mean? (a) 21 (b) 19 (c) 20 (d) 12
  3. 3.The mean of 7 numbers is 31. When the number 47 is added to them, what is the new mean? (a) 39 (b) 33 (c) 34 (d) 31
  4. 4.What is the mode of 8, 16, 7, 7, 18, 16 and 16? (a) 18 (b) 8 (c) 16 (d) 7
  5. 5.What is the mode of 18, 18, 4, 17, 12, 12 and 18? (a) 12 (b) 18 (c) 17 (d) 4
  6. 6.What is the mean of 8, 6, 2, 2 and 22? (a) 7 (b) 8 (c) 10 (d) 9
  7. 7.The mean of 5 numbers is 40. When the number 34 is added to them, what is the new mean? (a) 40 (b) 37 (c) 39 (d) 38
  8. 8.What is the median of 27, 1, 7, 16 and 17? (a) 16 (b) 15 (c) 17 (d) 7
  9. 9.The mean of 9 numbers is 37. When the number 67 is added to them, what is the new mean? (a) 37 (b) 52 (c) 40 (d) 41
  10. 10.What is the mode of 20, 20, 9, 1, 10, 10 and 20? (a) 1 (b) 20 (c) 10 (d) 9
  11. 11.What is the mode of 1, 11, 6, 15, 6, 1 and 6? (a) 1 (b) 11 (c) 15 (d) 6
  12. 12.What is the mode of 13, 15, 15, 18, 15, 8 and 13? (a) 15 (b) 8 (c) 13 (d) 18
  13. 13.What is the mean of 8, 10, 11 and 15? (a) 10 (b) 13 (c) 11 (d) 12
  14. 14.What is the mode of 11, 12, 8, 11, 8, 11 and 7? (a) 12 (b) 7 (c) 11 (d) 8
  15. 15.What is the median of 34, 29, 35, 36, 14, 8 and 22? (a) 36 (b) 29 (c) 22 (d) 34
  16. 16.What is the mode of 12, 11, 6, 6, 11, 18 and 6? (a) 18 (b) 12 (c) 11 (d) 6
  17. 17.What is the median of 12, 36, 5, 6, 30, 27 and 7? (a) 27 (b) 12 (c) 7 (d) 6
  18. 18.What is the mean of 12, 2, 7, 7, 17 and 9? (a) 10 (b) 9 (c) 8 (d) 11
  19. 19.The mean of 9 numbers is 35. When the number 15 is added to them, what is the new mean? (a) 34 (b) 25 (c) 33 (d) 35
  20. 20.What is the median of 3, 5, 40, 37 and 38? (a) 40 (b) 37 (c) 38 (d) 5
  21. 21.What is the mean of 6, 9, 5, 15 and 5? (a) 9 (b) 8 (c) 7 (d) 10
  22. 22.What is the mean of 7, 20, 4, 14 and 15? (a) 10 (b) 15 (c) 12 (d) 13
  23. 23.What is the mode of 8, 11, 16, 14, 14, 11 and 14? (a) 14 (b) 16 (c) 11 (d) 8
  24. 24.What is the median of 24, 16, 2, 12, 7, 5 and 22? (a) 13 (b) 16 (c) 7 (d) 12
  25. 25.What is the mode of 8, 7, 8, 19, 8, 13 and 13? (a) 13 (b) 7 (c) 8 (d) 19
  26. 26.What is the mean of 11, 2, 10 and 9? (a) 7 (b) 10 (c) 9 (d) 8
  27. 27.What is the median of 8, 10, 6, 29 and 1? (a) 6 (b) 8 (c) 9 (d) 10
  28. 28.The mean of 3 numbers is 13. When the number 29 is added to them, what is the new mean? (a) 21 (b) 17 (c) 13 (d) 18
  29. 29.What is the median of 24, 38, 31, 33 and 7? (a) 33 (b) 24 (c) 31 (d) 32
  30. 30.What is the mean of 5, 19, 19, 2, 7 and 8? (a) 9 (b) 11 (c) 12 (d) 10
  31. 31.What is the mode of 16, 11, 11, 13, 19, 16 and 16? (a) 11 (b) 13 (c) 16 (d) 19
  32. 32.The mean of 3 numbers is 26. When the number 34 is added to them, what is the new mean? (a) 26 (b) 30 (c) 28 (d) 29
  33. 33.What is the median of 29, 33, 27, 10 and 7? (a) 28 (b) 29 (c) 10 (d) 27
  34. 34.The mean of 3 numbers is 15. When the number 11 is added to them, what is the new mean? (a) 13 (b) 14 (c) 15 (d) 16
  35. 35.What is the mode of 2, 13, 2, 13, 4, 13 and 12? (a) 12 (b) 2 (c) 13 (d) 4
  36. 36.What is the median of 6, 27, 25, 4, 14, 31 and 38? (a) 25 (b) 4 (c) 27 (d) 14
  37. 37.The mean of 5 numbers is 18. When the number 24 is added to them, what is the new mean? (a) 18 (b) 20 (c) 19 (d) 21
  38. 38.What is the mean of 17, 14, 14, 11 and 14? (a) 13 (b) 16 (c) 14 (d) 15
  39. 39.What is the mean of 4, 13, 7 and 12? (a) 8 (b) 10 (c) 9 (d) 12
  40. 40.What is the mode of 3, 16, 4, 3, 16, 6 and 3? (a) 3 (b) 16 (c) 4 (d) 6

Answer key

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

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