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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 930 · 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 5 numbers is 32. When the number 38 is added to them, what is the new mean? (a) 35 (b) 34 (c) 32 (d) 33
  2. 2.The mean of 3 numbers is 10. When the number 26 is added to them, what is the new mean? (a) 15 (b) 18 (c) 14 (d) 10
  3. 3.What is the mean of 2, 14, 3, 2 and 9? (a) 5 (b) 7 (c) 8 (d) 6
  4. 4.What is the mean of 19, 6, 16, 5, 18 and 20? (a) 14 (b) 15 (c) 12 (d) 13
  5. 5.The mean of 4 numbers is 33. When the number 23 is added to them, what is the new mean? (a) 28 (b) 31 (c) 32 (d) 33
  6. 6.What is the mode of 8, 13, 8, 8, 12, 12 and 10? (a) 12 (b) 13 (c) 8 (d) 10
  7. 7.What is the mode of 1, 5, 12, 1, 11, 12 and 1? (a) 1 (b) 12 (c) 11 (d) 5
  8. 8.What is the mean of 2, 3, 2 and 17? (a) 7 (b) 6 (c) 5 (d) 8
  9. 9.The mean of 9 numbers is 36. When the number 66 is added to them, what is the new mean? (a) 51 (b) 39 (c) 40 (d) 36
  10. 10.What is the mode of 14, 7, 5, 7, 14, 14 and 19? (a) 5 (b) 19 (c) 14 (d) 7
  11. 11.What is the mean of 3, 9, 17, 18 and 13? (a) 13 (b) 15 (c) 10 (d) 12
  12. 12.What is the mean of 17, 10, 8, 13 and 17? (a) 15 (b) 12 (c) 14 (d) 13
  13. 13.The mean of 5 numbers is 19. When the number 43 is added to them, what is the new mean? (a) 31 (b) 23 (c) 19 (d) 24
  14. 14.What is the median of 35, 2, 25, 13 and 33? (a) 13 (b) 26 (c) 25 (d) 33
  15. 15.What is the mode of 14, 6, 12, 14, 6, 6 and 13? (a) 13 (b) 14 (c) 6 (d) 12
  16. 16.What is the median of 7, 6, 17, 40 and 31? (a) 31 (b) 7 (c) 18 (d) 17
  17. 17.The mean of 4 numbers is 24. When the number 19 is added to them, what is the new mean? (a) 22 (b) 25 (c) 24 (d) 23
  18. 18.What is the mean of 10, 8, 18, 18 and 16? (a) 13 (b) 15 (c) 14 (d) 16
  19. 19.The mean of 3 numbers is 29. When the number 45 is added to them, what is the new mean? (a) 33 (b) 34 (c) 37 (d) 29
  20. 20.The mean of 6 numbers is 18. When the number 4 is added to them, what is the new mean? (a) 16 (b) 17 (c) 18 (d) 11
  21. 21.What is the mean of 6, 14, 15, 9 and 21? (a) 12 (b) 13 (c) 14 (d) 15
  22. 22.What is the mode of 1, 14, 20, 20, 1, 2 and 1? (a) 20 (b) 2 (c) 14 (d) 1
  23. 23.What is the mean of 11, 3, 17, 11, 14 and 4? (a) 12 (b) 11 (c) 10 (d) 9
  24. 24.What is the mean of 14, 20, 2 and 12? (a) 12 (b) 13 (c) 16 (d) 11
  25. 25.What is the median of 38, 30, 6, 24 and 12? (a) 6 (b) 30 (c) 24 (d) 22
  26. 26.What is the mean of 3, 11, 19, 17, 16 and 18? (a) 12 (b) 14 (c) 13 (d) 15
  27. 27.What is the mean of 16, 13, 7, 8, 3 and 7? (a) 8 (b) 9 (c) 10 (d) 11
  28. 28.What is the mode of 17, 9, 17, 10, 5, 9 and 9? (a) 10 (b) 9 (c) 5 (d) 17
  29. 29.What is the median of 38, 9, 11, 34 and 1? (a) 11 (b) 9 (c) 12 (d) 34
  30. 30.The mean of 8 numbers is 37. When the number 55 is added to them, what is the new mean? (a) 40 (b) 46 (c) 39 (d) 37
  31. 31.What is the mode of 5, 8, 6, 17, 17, 5 and 17? (a) 6 (b) 17 (c) 5 (d) 8
  32. 32.What is the median of 6, 36, 38, 22, 19, 29 and 8? (a) 23 (b) 19 (c) 22 (d) 29
  33. 33.What is the mean of 6, 6, 9, 3, 17 and 19? (a) 11 (b) 10 (c) 9 (d) 12
  34. 34.What is the mean of 7, 6, 5 and 6? (a) 8 (b) 5 (c) 7 (d) 6
  35. 35.What is the median of 8, 40, 10, 18, 15, 38 and 13? (a) 13 (b) 16 (c) 18 (d) 15
  36. 36.What is the mean of 13, 8, 11 and 20? (a) 14 (b) 15 (c) 12 (d) 13
  37. 37.The mean of 5 numbers is 32. When the number 44 is added to them, what is the new mean? (a) 35 (b) 34 (c) 38 (d) 32
  38. 38.What is the mean of 17, 9, 17 and 9? (a) 15 (b) 12 (c) 13 (d) 14
  39. 39.What is the median of 2, 35, 34, 31 and 26? (a) 34 (b) 26 (c) 32 (d) 31
  40. 40.The mean of 6 numbers is 30. When the number 44 is added to them, what is the new mean? (a) 30 (b) 32 (c) 37 (d) 33

Answer key

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

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