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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 918 · 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 16, 4, 8 and 8? (a) 12 (b) 9 (c) 10 (d) 8
  2. 2.What is the mean of 13, 7, 14, 8 and 13? (a) 12 (b) 10 (c) 11 (d) 13
  3. 3.The mean of 8 numbers is 16. When the number 34 is added to them, what is the new mean? (a) 25 (b) 18 (c) 16 (d) 19
  4. 4.What is the mean of 8, 12, 3, 5 and 2? (a) 8 (b) 7 (c) 5 (d) 6
  5. 5.The mean of 8 numbers is 25. When the number 43 is added to them, what is the new mean? (a) 34 (b) 28 (c) 25 (d) 27
  6. 6.What is the mode of 6, 16, 11, 16, 16, 10 and 11? (a) 16 (b) 11 (c) 10 (d) 6
  7. 7.The mean of 9 numbers is 13. When the number 43 is added to them, what is the new mean? (a) 17 (b) 13 (c) 16 (d) 28
  8. 8.What is the median of 24, 12, 6, 39, 8, 3 and 17? (a) 8 (b) 17 (c) 12 (d) 39
  9. 9.The mean of 4 numbers is 17. When the number 2 is added to them, what is the new mean? (a) 17 (b) 15 (c) 13 (d) 14
  10. 10.What is the median of 1, 9, 2, 38, 7, 6 and 34? (a) 38 (b) 9 (c) 6 (d) 7
  11. 11.The mean of 7 numbers is 17. When the number 9 is added to them, what is the new mean? (a) 17 (b) 16 (c) 13 (d) 15
  12. 12.What is the mean of 3, 20, 7, 17 and 18? (a) 15 (b) 14 (c) 13 (d) 12
  13. 13.What is the median of 29, 35, 34, 39 and 9? (a) 33 (b) 29 (c) 35 (d) 34
  14. 14.The mean of 6 numbers is 30. When the number 37 is added to them, what is the new mean? (a) 30 (b) 32 (c) 31 (d) 33
  15. 15.What is the mean of 3, 2, 10, 8 and 2? (a) 7 (b) 5 (c) 4 (d) 6
  16. 16.What is the mode of 19, 3, 16, 19, 19, 5 and 3? (a) 16 (b) 5 (c) 19 (d) 3
  17. 17.What is the mean of 13, 7, 14, 15 and 6? (a) 13 (b) 10 (c) 11 (d) 12
  18. 18.What is the mode of 19, 11, 11, 20, 4, 4 and 4? (a) 19 (b) 11 (c) 20 (d) 4
  19. 19.What is the mode of 8, 4, 2, 2, 4, 4 and 18? (a) 2 (b) 8 (c) 18 (d) 4
  20. 20.What is the median of 39, 13, 15, 5 and 23? (a) 23 (b) 19 (c) 13 (d) 15
  21. 21.What is the mode of 12, 10, 5, 12, 10, 10 and 13? (a) 12 (b) 5 (c) 13 (d) 10
  22. 22.What is the mean of 19, 20, 6, 20, 16 and 9? (a) 15 (b) 18 (c) 14 (d) 16
  23. 23.What is the mode of 9, 14, 2, 9, 16, 14 and 9? (a) 2 (b) 9 (c) 16 (d) 14
  24. 24.The mean of 5 numbers is 23. When the number 35 is added to them, what is the new mean? (a) 25 (b) 29 (c) 23 (d) 26
  25. 25.The mean of 4 numbers is 18. When the number 13 is added to them, what is the new mean? (a) 16 (b) 17 (c) 18 (d) 19
  26. 26.What is the mode of 7, 11, 9, 13, 13, 13 and 9? (a) 9 (b) 13 (c) 11 (d) 7
  27. 27.The mean of 3 numbers is 14. When the number 18 is added to them, what is the new mean? (a) 14 (b) 17 (c) 15 (d) 16
  28. 28.What is the mode of 11, 11, 18, 6, 16, 18 and 11? (a) 16 (b) 6 (c) 11 (d) 18
  29. 29.What is the mean of 6, 10, 17 and 7? (a) 11 (b) 10 (c) 9 (d) 8
  30. 30.What is the mean of 8, 4, 8, 19 and 11? (a) 12 (b) 9 (c) 11 (d) 10
  31. 31.What is the median of 1, 4, 9, 10, 35, 3 and 27? (a) 10 (b) 8 (c) 9 (d) 4
  32. 32.What is the median of 2, 24, 4, 7 and 30? (a) 8 (b) 7 (c) 24 (d) 4
  33. 33.What is the mean of 12, 5, 5 and 18? (a) 11 (b) 10 (c) 9 (d) 8
  34. 34.What is the mean of 16, 16, 13 and 15? (a) 16 (b) 12 (c) 20 (d) 15
  35. 35.What is the median of 30, 39, 23, 11 and 2? (a) 30 (b) 11 (c) 21 (d) 23
  36. 36.What is the mean of 20, 7, 11, 19 and 13? (a) 13 (b) 16 (c) 15 (d) 14
  37. 37.What is the mode of 12, 7, 7, 5, 9, 7 and 5? (a) 5 (b) 7 (c) 12 (d) 9
  38. 38.The mean of 4 numbers is 24. When the number 4 is added to them, what is the new mean? (a) 20 (b) 21 (c) 24 (d) 14
  39. 39.What is the mean of 3, 6, 16, 5, 12 and 18? (a) 12 (b) 11 (c) 9 (d) 10
  40. 40.What is the median of 13, 12, 19, 21, 6, 7 and 17? (a) 12 (b) 17 (c) 21 (d) 13

Answer key

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

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