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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 935 · 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 mode of 6, 5, 18, 6, 18, 20 and 18? (a) 6 (b) 5 (c) 20 (d) 18
  2. 2.The mean of 3 numbers is 28. When the number 16 is added to them, what is the new mean? (a) 28 (b) 22 (c) 26 (d) 25
  3. 3.What is the median of 38, 29, 7, 32 and 1? (a) 7 (b) 30 (c) 32 (d) 29
  4. 4.The mean of 7 numbers is 29. When the number 37 is added to them, what is the new mean? (a) 29 (b) 30 (c) 31 (d) 33
  5. 5.What is the mean of 5, 7, 11, 18 and 4? (a) 8 (b) 10 (c) 9 (d) 11
  6. 6.The mean of 6 numbers is 21. When the number 7 is added to them, what is the new mean? (a) 14 (b) 21 (c) 20 (d) 19
  7. 7.What is the median of 22, 15, 2, 28, 27, 7 and 5? (a) 28 (b) 15 (c) 7 (d) 22
  8. 8.What is the mean of 8, 3, 12, 11, 16 and 22? (a) 11 (b) 14 (c) 12 (d) 13
  9. 9.What is the median of 6, 39, 2, 38 and 28? (a) 2 (b) 6 (c) 28 (d) 38
  10. 10.What is the mean of 2, 6, 20 and 8? (a) 10 (b) 9 (c) 12 (d) 8
  11. 11.What is the mode of 16, 9, 8, 15, 8, 9 and 8? (a) 16 (b) 15 (c) 8 (d) 9
  12. 12.The mean of 9 numbers is 24. When the number 14 is added to them, what is the new mean? (a) 24 (b) 22 (c) 19 (d) 23
  13. 13.What is the median of 8, 13, 32, 19 and 12? (a) 13 (b) 19 (c) 32 (d) 12
  14. 14.What is the median of 9, 20, 39, 34, 7, 23 and 21? (a) 23 (b) 34 (c) 20 (d) 21
  15. 15.What is the mode of 18, 15, 19, 19, 15, 16 and 19? (a) 15 (b) 18 (c) 19 (d) 16
  16. 16.What is the median of 34, 16, 19, 33, 35, 27 and 6? (a) 33 (b) 19 (c) 28 (d) 27
  17. 17.What is the mean of 3, 9, 19, 5, 12 and 18? (a) 13 (b) 10 (c) 12 (d) 11
  18. 18.The mean of 8 numbers is 37. When the number 1 is added to them, what is the new mean? (a) 37 (b) 34 (c) 19 (d) 33
  19. 19.What is the mode of 20, 1, 5, 4, 5, 4 and 4? (a) 1 (b) 4 (c) 5 (d) 20
  20. 20.The mean of 6 numbers is 26. When the number 33 is added to them, what is the new mean? (a) 27 (b) 29 (c) 26 (d) 28
  21. 21.What is the mode of 9, 5, 9, 1, 19, 1 and 9? (a) 19 (b) 5 (c) 9 (d) 1
  22. 22.What is the mode of 18, 10, 18, 3, 13, 3 and 18? (a) 13 (b) 10 (c) 18 (d) 3
  23. 23.The mean of 3 numbers is 24. When the number 16 is added to them, what is the new mean? (a) 22 (b) 20 (c) 24 (d) 23
  24. 24.The mean of 3 numbers is 21. When the number 29 is added to them, what is the new mean? (a) 21 (b) 24 (c) 23 (d) 25
  25. 25.What is the mean of 6, 20, 6, 3, 15 and 10? (a) 11 (b) 12 (c) 10 (d) 9
  26. 26.What is the mean of 16, 4, 3 and 13? (a) 10 (b) 9 (c) 12 (d) 8
  27. 27.What is the median of 30, 3, 1, 5 and 9? (a) 9 (b) 1 (c) 5 (d) 3
  28. 28.What is the mode of 3, 16, 8, 8, 16, 4 and 8? (a) 4 (b) 16 (c) 8 (d) 3
  29. 29.What is the mean of 14, 6, 18, 11, 3 and 14? (a) 13 (b) 11 (c) 10 (d) 12
  30. 30.What is the median of 33, 10, 38, 23, 39, 26 and 4? (a) 23 (b) 33 (c) 27 (d) 26
  31. 31.The mean of 3 numbers is 21. When the number 25 is added to them, what is the new mean? (a) 21 (b) 23 (c) 22 (d) 24
  32. 32.What is the median of 27, 40, 18, 23 and 26? (a) 23 (b) 26 (c) 18 (d) 27
  33. 33.The mean of 7 numbers is 10. When the number 26 is added to them, what is the new mean? (a) 18 (b) 10 (c) 13 (d) 12
  34. 34.What is the mean of 11, 6, 7, 2, 15 and 19? (a) 11 (b) 10 (c) 9 (d) 12
  35. 35.What is the mode of 7, 17, 1, 7, 19, 7 and 17? (a) 17 (b) 7 (c) 1 (d) 19
  36. 36.What is the mean of 17, 7, 4 and 12? (a) 11 (b) 8 (c) 9 (d) 10
  37. 37.What is the median of 18, 13, 4, 19 and 16? (a) 18 (b) 14 (c) 16 (d) 4
  38. 38.What is the median of 29, 22, 19, 15 and 8? (a) 20 (b) 19 (c) 15 (d) 22
  39. 39.What is the median of 6, 5, 27, 29, 12, 31 and 39? (a) 12 (b) 28 (c) 27 (d) 29
  40. 40.The mean of 3 numbers is 35. When the number 47 is added to them, what is the new mean? (a) 41 (b) 35 (c) 38 (d) 39

Answer key

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

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