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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 923 · 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 3 numbers is 15. When the number 3 is added to them, what is the new mean? (a) 12 (b) 13 (c) 15 (d) 9
  2. 2.What is the mean of 4, 3, 6 and 19? (a) 9 (b) 7 (c) 8 (d) 10
  3. 3.What is the median of 8, 26, 30, 6, 14, 36 and 19? (a) 14 (b) 19 (c) 6 (d) 26
  4. 4.What is the mode of 1, 5, 8, 8, 1, 14 and 8? (a) 5 (b) 14 (c) 1 (d) 8
  5. 5.What is the median of 10, 36, 32, 7, 9, 24 and 22? (a) 7 (b) 20 (c) 24 (d) 22
  6. 6.What is the mode of 20, 3, 14, 14, 15, 20 and 14? (a) 15 (b) 14 (c) 3 (d) 20
  7. 7.The mean of 6 numbers is 34. When the number 20 is added to them, what is the new mean? (a) 27 (b) 33 (c) 34 (d) 32
  8. 8.What is the mode of 5, 8, 1, 8, 5, 5 and 16? (a) 16 (b) 5 (c) 1 (d) 8
  9. 9.What is the median of 30, 5, 31, 10 and 7? (a) 31 (b) 7 (c) 10 (d) 30
  10. 10.What is the mean of 20, 6, 4, 10 and 15? (a) 10 (b) 12 (c) 13 (d) 11
  11. 11.What is the median of 13, 7, 2, 35 and 34? (a) 2 (b) 34 (c) 7 (d) 13
  12. 12.What is the median of 4, 7, 24, 10 and 36? (a) 11 (b) 10 (c) 7 (d) 24
  13. 13.What is the median of 26, 1, 23, 12 and 27? (a) 23 (b) 12 (c) 24 (d) 26
  14. 14.What is the median of 11, 19, 28, 7 and 21? (a) 11 (b) 19 (c) 21 (d) 28
  15. 15.The mean of 5 numbers is 20. When the number 8 is added to them, what is the new mean? (a) 14 (b) 19 (c) 20 (d) 18
  16. 16.The mean of 6 numbers is 37. When the number 30 is added to them, what is the new mean? (a) 36 (b) 35 (c) 38 (d) 37
  17. 17.What is the mode of 7, 12, 7, 18, 18, 7 and 6? (a) 12 (b) 18 (c) 6 (d) 7
  18. 18.The mean of 3 numbers is 19. When the number 3 is added to them, what is the new mean? (a) 11 (b) 19 (c) 15 (d) 16
  19. 19.The mean of 5 numbers is 27. When the number 39 is added to them, what is the new mean? (a) 29 (b) 30 (c) 33 (d) 27
  20. 20.What is the mean of 11, 2, 17, 10, 4 and 4? (a) 7 (b) 10 (c) 8 (d) 9
  21. 21.What is the median of 5, 22, 2, 17 and 7? (a) 5 (b) 7 (c) 2 (d) 17
  22. 22.What is the mean of 13, 10, 8 and 17? (a) 11 (b) 12 (c) 13 (d) 16
  23. 23.What is the median of 34, 40, 21, 14, 26, 11 and 10? (a) 22 (b) 14 (c) 26 (d) 21
  24. 24.What is the median of 30, 39, 7, 37, 9, 38 and 1? (a) 23 (b) 37 (c) 9 (d) 30
  25. 25.The mean of 3 numbers is 33. When the number 17 is added to them, what is the new mean? (a) 29 (b) 25 (c) 33 (d) 30
  26. 26.What is the median of 2, 9, 35, 21 and 15? (a) 9 (b) 21 (c) 35 (d) 15
  27. 27.The mean of 7 numbers is 25. When the number 9 is added to them, what is the new mean? (a) 25 (b) 23 (c) 17 (d) 24
  28. 28.What is the mode of 3, 3, 5, 14, 8, 14 and 14? (a) 5 (b) 3 (c) 14 (d) 8
  29. 29.What is the mean of 14, 2, 5, 20, 17 and 14? (a) 11 (b) 13 (c) 12 (d) 14
  30. 30.The mean of 3 numbers is 32. When the number 24 is added to them, what is the new mean? (a) 31 (b) 32 (c) 28 (d) 30
  31. 31.What is the mean of 16, 2, 20 and 14? (a) 13 (b) 12 (c) 14 (d) 15
  32. 32.What is the mean of 7, 14, 13 and 18? (a) 15 (b) 13 (c) 14 (d) 12
  33. 33.What is the median of 4, 16, 18, 9, 21, 34 and 15? (a) 18 (b) 16 (c) 9 (d) 15
  34. 34.The mean of 9 numbers is 28. When the number 68 is added to them, what is the new mean? (a) 32 (b) 33 (c) 28 (d) 48
  35. 35.What is the mean of 5, 11, 18 and 10? (a) 13 (b) 10 (c) 12 (d) 11
  36. 36.What is the mean of 5, 6, 10 and 7? (a) 6 (b) 8 (c) 9 (d) 7
  37. 37.The mean of 3 numbers is 19. When the number 23 is added to them, what is the new mean? (a) 20 (b) 22 (c) 21 (d) 19
  38. 38.The mean of 9 numbers is 34. When the number 14 is added to them, what is the new mean? (a) 24 (b) 33 (c) 34 (d) 32
  39. 39.What is the mode of 15, 6, 3, 3, 15, 15 and 8? (a) 3 (b) 8 (c) 6 (d) 15
  40. 40.The mean of 3 numbers is 21. When the number 17 is added to them, what is the new mean? (a) 22 (b) 20 (c) 19 (d) 21

Answer key

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

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