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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 962 · 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 13, 18, 7, 13, 4, 18 and 13? (a) 13 (b) 18 (c) 7 (d) 4
  2. 2.What is the mean of 7, 11, 18, 17 and 17? (a) 13 (b) 16 (c) 14 (d) 15
  3. 3.What is the mode of 20, 20, 19, 6, 20, 6 and 1? (a) 1 (b) 19 (c) 20 (d) 6
  4. 4.The mean of 8 numbers is 37. When the number 19 is added to them, what is the new mean? (a) 35 (b) 28 (c) 36 (d) 37
  5. 5.What is the mode of 12, 6, 6, 18, 12, 12 and 16? (a) 18 (b) 16 (c) 12 (d) 6
  6. 6.The mean of 6 numbers is 21. When the number 49 is added to them, what is the new mean? (a) 21 (b) 35 (c) 26 (d) 25
  7. 7.What is the mean of 5, 4, 7, 5 and 14? (a) 9 (b) 6 (c) 7 (d) 8
  8. 8.What is the mode of 10, 10, 1, 1, 9, 10 and 18? (a) 9 (b) 18 (c) 10 (d) 1
  9. 9.What is the mode of 11, 11, 3, 6, 2, 2 and 2? (a) 2 (b) 11 (c) 6 (d) 3
  10. 10.What is the mode of 14, 10, 10, 10, 18, 20 and 14? (a) 14 (b) 18 (c) 10 (d) 20
  11. 11.The mean of 7 numbers is 36. When the number 60 is added to them, what is the new mean? (a) 36 (b) 39 (c) 48 (d) 40
  12. 12.What is the mean of 20, 10, 19, 7 and 4? (a) 15 (b) 12 (c) 13 (d) 10
  13. 13.What is the mode of 10, 6, 12, 12, 12, 7 and 6? (a) 7 (b) 12 (c) 6 (d) 10
  14. 14.What is the mode of 1, 16, 16, 18, 18, 13 and 16? (a) 16 (b) 13 (c) 18 (d) 1
  15. 15.What is the median of 39, 5, 34, 12 and 29? (a) 34 (b) 30 (c) 29 (d) 12
  16. 16.What is the mean of 19, 20, 14, 17, 18 and 20? (a) 18 (b) 19 (c) 17 (d) 20
  17. 17.The mean of 4 numbers is 16. When the number 21 is added to them, what is the new mean? (a) 16 (b) 18 (c) 17 (d) 19
  18. 18.The mean of 5 numbers is 15. When the number 9 is added to them, what is the new mean? (a) 15 (b) 12 (c) 13 (d) 14
  19. 19.What is the median of 12, 33, 21, 37 and 28? (a) 28 (b) 29 (c) 33 (d) 21
  20. 20.What is the median of 2, 31, 8, 4 and 1? (a) 2 (b) 4 (c) 5 (d) 8
  21. 21.The mean of 6 numbers is 14. When the number 28 is added to them, what is the new mean? (a) 16 (b) 14 (c) 17 (d) 21
  22. 22.What is the mean of 5, 6, 15 and 22? (a) 13 (b) 16 (c) 12 (d) 11
  23. 23.What is the mean of 7, 5, 17 and 3? (a) 7 (b) 10 (c) 9 (d) 8
  24. 24.What is the mode of 20, 10, 1, 17, 20, 17 and 20? (a) 1 (b) 20 (c) 17 (d) 10
  25. 25.What is the median of 35, 9, 33, 38 and 30? (a) 30 (b) 35 (c) 29 (d) 33
  26. 26.The mean of 6 numbers is 40. When the number 47 is added to them, what is the new mean? (a) 42 (b) 43 (c) 40 (d) 41
  27. 27.What is the median of 20, 13, 16, 22 and 19? (a) 18 (b) 20 (c) 16 (d) 19
  28. 28.What is the median of 12, 4, 34, 17, 13, 37 and 29? (a) 29 (b) 18 (c) 17 (d) 13
  29. 29.What is the mode of 15, 4, 6, 4, 4, 12 and 6? (a) 12 (b) 4 (c) 15 (d) 6
  30. 30.What is the mean of 10, 3, 17, 18, 18 and 18? (a) 15 (b) 14 (c) 13 (d) 12
  31. 31.What is the mean of 5, 20, 20 and 15? (a) 12 (b) 15 (c) 20 (d) 16
  32. 32.The mean of 4 numbers is 38. When the number 53 is added to them, what is the new mean? (a) 38 (b) 40 (c) 42 (d) 41
  33. 33.What is the median of 19, 36, 18, 37 and 22? (a) 18 (b) 22 (c) 19 (d) 36
  34. 34.The mean of 9 numbers is 25. When the number 5 is added to them, what is the new mean? (a) 24 (b) 25 (c) 23 (d) 15
  35. 35.What is the mode of 20, 12, 20, 2, 14, 12 and 12? (a) 14 (b) 2 (c) 20 (d) 12
  36. 36.What is the median of 27, 36, 18, 33, 11, 35 and 37? (a) 33 (b) 27 (c) 35 (d) 34
  37. 37.What is the mean of 13, 3, 4 and 12? (a) 10 (b) 7 (c) 9 (d) 8
  38. 38.What is the median of 9, 24, 18, 15 and 34? (a) 20 (b) 15 (c) 18 (d) 24
  39. 39.What is the median of 2, 39, 37, 3 and 12? (a) 13 (b) 37 (c) 12 (d) 3
  40. 40.What is the mode of 15, 1, 10, 16, 1, 1 and 16? (a) 1 (b) 16 (c) 10 (d) 15

Answer key

  1. 13
  2. 14
  3. 20
  4. 35
  5. 12
  6. 25
  7. 7
  8. 10
  9. 2
  10. 10
  11. 39
  12. 12
  13. 12
  14. 16
  15. 29
  16. 18
  17. 17
  18. 14
  19. 28
  20. 4
  21. 16
  22. 12
  23. 8
  24. 20
  25. 33
  26. 41
  27. 19
  28. 17
  29. 4
  30. 14
  31. 15
  32. 41
  33. 22
  34. 23
  35. 12
  36. 33
  37. 8
  38. 18
  39. 12
  40. 1

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