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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 333 · 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 7 numbers is 20. When the number 44 is added to them, what is the new mean? (a) 24 (b) 32 (c) 23 (d) 20
  2. 2.What is the mean of 12, 20, 16 and 16? (a) 16 (b) 17 (c) 18 (d) 15
  3. 3.What is the mode of 18, 15, 15, 17, 15, 3 and 18? (a) 18 (b) 15 (c) 17 (d) 3
  4. 4.What is the median of 23, 4, 30, 18, 19, 8 and 2? (a) 17 (b) 8 (c) 18 (d) 19
  5. 5.What is the mean of 18, 20, 20 and 6? (a) 15 (b) 18 (c) 17 (d) 16
  6. 6.What is the mean of 19, 4, 13, 13 and 6? (a) 10 (b) 12 (c) 13 (d) 11
  7. 7.The mean of 3 numbers is 14. When the number 6 is added to them, what is the new mean? (a) 12 (b) 14 (c) 10 (d) 13
  8. 8.What is the mean of 5, 2, 8, 6 and 24? (a) 11 (b) 9 (c) 8 (d) 10
  9. 9.What is the mean of 8, 18, 4 and 18? (a) 16 (b) 13 (c) 11 (d) 12
  10. 10.The mean of 4 numbers is 25. When the number 30 is added to them, what is the new mean? (a) 26 (b) 27 (c) 25 (d) 28
  11. 11.What is the mode of 14, 3, 16, 14, 13, 14 and 16? (a) 13 (b) 14 (c) 3 (d) 16
  12. 12.What is the mean of 4, 14, 3 and 11? (a) 9 (b) 10 (c) 8 (d) 7
  13. 13.What is the mean of 15, 16, 14 and 7? (a) 12 (b) 14 (c) 15 (d) 13
  14. 14.What is the mean of 3, 19, 3 and 15? (a) 9 (b) 10 (c) 11 (d) 8
  15. 15.What is the mode of 4, 5, 4, 3, 5, 18 and 4? (a) 5 (b) 3 (c) 18 (d) 4
  16. 16.What is the median of 25, 39, 36, 28 and 12? (a) 28 (b) 36 (c) 29 (d) 25
  17. 17.What is the mode of 1, 20, 4, 1, 4, 2 and 1? (a) 4 (b) 2 (c) 20 (d) 1
  18. 18.What is the mean of 3, 18, 13 and 6? (a) 10 (b) 11 (c) 8 (d) 9
  19. 19.The mean of 5 numbers is 27. When the number 21 is added to them, what is the new mean? (a) 24 (b) 25 (c) 26 (d) 27
  20. 20.What is the mean of 2, 5, 12, 15 and 11? (a) 11 (b) 8 (c) 9 (d) 10
  21. 21.What is the median of 14, 15, 4, 18 and 9? (a) 12 (b) 14 (c) 15 (d) 4
  22. 22.What is the median of 3, 27, 38, 10 and 16? (a) 16 (b) 27 (c) 38 (d) 10
  23. 23.What is the mean of 4, 13, 10, 8, 7 and 24? (a) 12 (b) 13 (c) 11 (d) 10
  24. 24.What is the mean of 13, 2, 18 and 7? (a) 10 (b) 8 (c) 11 (d) 9
  25. 25.What is the mean of 17, 11, 3, 18, 13 and 10? (a) 11 (b) 12 (c) 14 (d) 13
  26. 26.The mean of 8 numbers is 31. When the number 67 is added to them, what is the new mean? (a) 36 (b) 35 (c) 31 (d) 49
  27. 27.What is the median of 28, 1, 27, 11, 4, 13 and 2? (a) 13 (b) 11 (c) 12 (d) 4
  28. 28.What is the mean of 6, 10, 18, 19, 18 and 13? (a) 15 (b) 12 (c) 13 (d) 14
  29. 29.What is the mode of 1, 1, 9, 9, 15, 1 and 4? (a) 15 (b) 9 (c) 1 (d) 4
  30. 30.What is the mode of 6, 2, 9, 2, 2, 9 and 18? (a) 18 (b) 2 (c) 9 (d) 6
  31. 31.What is the mean of 14, 17, 20 and 13? (a) 18 (b) 17 (c) 16 (d) 15
  32. 32.The mean of 8 numbers is 10. When the number 19 is added to them, what is the new mean? (a) 10 (b) 12 (c) 13 (d) 11
  33. 33.What is the mean of 10, 15, 4, 12 and 9? (a) 9 (b) 11 (c) 10 (d) 12
  34. 34.What is the mode of 9, 10, 10, 10, 1, 9 and 11? (a) 10 (b) 9 (c) 11 (d) 1
  35. 35.The mean of 7 numbers is 26. When the number 2 is added to them, what is the new mean? (a) 24 (b) 14 (c) 26 (d) 23
  36. 36.What is the median of 29, 21, 8, 1, 13, 25 and 26? (a) 1 (b) 25 (c) 13 (d) 21
  37. 37.What is the median of 11, 39, 27, 7, 2, 12 and 36? (a) 27 (b) 12 (c) 11 (d) 7
  38. 38.What is the mode of 1, 11, 7, 11, 8, 8 and 8? (a) 11 (b) 8 (c) 7 (d) 1
  39. 39.What is the mode of 20, 3, 20, 20, 3, 6 and 4? (a) 4 (b) 3 (c) 20 (d) 6
  40. 40.What is the mode of 15, 8, 4, 15, 4, 4 and 6? (a) 6 (b) 15 (c) 4 (d) 8

Answer key

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

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