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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 366 · 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.The mean of 4 numbers is 11. When the number 1 is added to them, what is the new mean? (a) 6 (b) 11 (c) 9 (d) 10
  2. 2.What is the mean of 20, 6, 13 and 13? (a) 12 (b) 15 (c) 13 (d) 14
  3. 3.What is the mean of 2, 8, 12, 8, 14 and 22? (a) 11 (b) 12 (c) 13 (d) 10
  4. 4.What is the mean of 19, 8, 10 and 3? (a) 9 (b) 8 (c) 11 (d) 10
  5. 5.The mean of 5 numbers is 36. When the number 12 is added to them, what is the new mean? (a) 36 (b) 32 (c) 24 (d) 33
  6. 6.What is the median of 26, 24, 28, 3 and 35? (a) 27 (b) 24 (c) 28 (d) 26
  7. 7.What is the mode of 20, 20, 17, 1, 5, 5 and 20? (a) 5 (b) 1 (c) 20 (d) 17
  8. 8.The mean of 9 numbers is 15. When the number 45 is added to them, what is the new mean? (a) 18 (b) 19 (c) 15 (d) 30
  9. 9.What is the median of 5, 3, 25, 6, 2, 8 and 26? (a) 5 (b) 6 (c) 7 (d) 8
  10. 10.The mean of 5 numbers is 25. When the number 37 is added to them, what is the new mean? (a) 28 (b) 27 (c) 25 (d) 31
  11. 11.What is the median of 13, 4, 40, 1 and 3? (a) 4 (b) 40 (c) 3 (d) 13
  12. 12.What is the median of 38, 40, 24, 5 and 23? (a) 26 (b) 23 (c) 38 (d) 24
  13. 13.What is the mode of 17, 19, 19, 17, 6, 19 and 5? (a) 5 (b) 6 (c) 17 (d) 19
  14. 14.The mean of 4 numbers is 10. When the number 15 is added to them, what is the new mean? (a) 10 (b) 12 (c) 13 (d) 11
  15. 15.What is the median of 33, 36, 40, 16, 8, 34 and 3? (a) 16 (b) 32 (c) 34 (d) 33
  16. 16.What is the mode of 17, 17, 7, 1, 1, 17 and 19? (a) 1 (b) 17 (c) 7 (d) 19
  17. 17.What is the mode of 14, 13, 14, 13, 14, 20 and 8? (a) 8 (b) 20 (c) 14 (d) 13
  18. 18.What is the mean of 12, 4, 18, 2, 9 and 3? (a) 7 (b) 10 (c) 9 (d) 8
  19. 19.What is the mode of 15, 15, 5, 15, 2, 2 and 7? (a) 15 (b) 7 (c) 2 (d) 5
  20. 20.What is the mean of 14, 4, 7, 8 and 7? (a) 9 (b) 10 (c) 7 (d) 8
  21. 21.What is the mean of 4, 20, 6 and 6? (a) 12 (b) 8 (c) 9 (d) 10
  22. 22.The mean of 4 numbers is 16. When the number 31 is added to them, what is the new mean? (a) 19 (b) 16 (c) 20 (d) 18
  23. 23.What is the mode of 12, 11, 15, 15, 11, 11 and 7? (a) 12 (b) 15 (c) 11 (d) 7
  24. 24.What is the mode of 2, 10, 2, 16, 6, 2 and 6? (a) 10 (b) 2 (c) 6 (d) 16
  25. 25.What is the mean of 19, 5, 4, 8 and 9? (a) 11 (b) 8 (c) 9 (d) 10
  26. 26.What is the mean of 7, 13, 3, 18, 7 and 18? (a) 13 (b) 10 (c) 12 (d) 11
  27. 27.What is the median of 25, 34, 29, 5, 27, 18 and 35? (a) 25 (b) 5 (c) 27 (d) 29
  28. 28.What is the median of 24, 3, 27, 22 and 26? (a) 26 (b) 27 (c) 24 (d) 22
  29. 29.What is the mean of 15, 3, 19, 11 and 12? (a) 15 (b) 12 (c) 10 (d) 13
  30. 30.The mean of 4 numbers is 27. When the number 12 is added to them, what is the new mean? (a) 23 (b) 25 (c) 24 (d) 27
  31. 31.What is the median of 2, 29, 13, 9 and 12? (a) 11 (b) 12 (c) 13 (d) 9
  32. 32.What is the median of 3, 2, 32, 26 and 23? (a) 32 (b) 26 (c) 3 (d) 23
  33. 33.What is the mode of 20, 9, 3, 9, 4, 4 and 9? (a) 3 (b) 9 (c) 20 (d) 4
  34. 34.The mean of 7 numbers is 21. When the number 5 is added to them, what is the new mean? (a) 13 (b) 20 (c) 21 (d) 19
  35. 35.What is the mode of 9, 10, 9, 9, 19, 19 and 8? (a) 9 (b) 10 (c) 8 (d) 19
  36. 36.What is the mode of 7, 13, 14, 13, 7, 1 and 7? (a) 13 (b) 1 (c) 7 (d) 14
  37. 37.What is the mean of 2, 20, 14 and 8? (a) 12 (b) 10 (c) 11 (d) 13
  38. 38.What is the mode of 2, 17, 12, 11, 11, 12 and 12? (a) 11 (b) 17 (c) 2 (d) 12
  39. 39.What is the mean of 20, 19, 19, 7, 6 and 13? (a) 12 (b) 15 (c) 14 (d) 13
  40. 40.What is the median of 5, 13, 11, 32 and 17? (a) 13 (b) 14 (c) 11 (d) 17

Answer key

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

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