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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 952 · 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 18, 18, 16, 9, 18, 16 and 20? (a) 16 (b) 20 (c) 18 (d) 9
  2. 2.What is the mean of 4, 13, 14, 18 and 11? (a) 13 (b) 10 (c) 12 (d) 15
  3. 3.What is the mean of 11, 10, 11, 10, 3 and 15? (a) 9 (b) 10 (c) 12 (d) 11
  4. 4.What is the mean of 6, 15, 13 and 6? (a) 9 (b) 10 (c) 11 (d) 8
  5. 5.The mean of 7 numbers is 10. When the number 26 is added to them, what is the new mean? (a) 13 (b) 18 (c) 10 (d) 12
  6. 6.What is the mean of 11, 20, 12, 16 and 11? (a) 14 (b) 16 (c) 15 (d) 13
  7. 7.The mean of 8 numbers is 12. When the number 3 is added to them, what is the new mean? (a) 10 (b) 11 (c) 12 (d) 13
  8. 8.The mean of 9 numbers is 40. When the number 20 is added to them, what is the new mean? (a) 40 (b) 38 (c) 39 (d) 30
  9. 9.The mean of 5 numbers is 26. When the number 20 is added to them, what is the new mean? (a) 24 (b) 26 (c) 25 (d) 23
  10. 10.What is the median of 36, 6, 15, 26, 33, 34 and 37? (a) 34 (b) 32 (c) 33 (d) 26
  11. 11.What is the mean of 4, 15, 3 and 10? (a) 8 (b) 7 (c) 9 (d) 10
  12. 12.What is the mode of 20, 20, 9, 5, 9, 9 and 13? (a) 9 (b) 5 (c) 13 (d) 20
  13. 13.What is the mean of 2, 17, 20 and 21? (a) 20 (b) 15 (c) 12 (d) 16
  14. 14.The mean of 6 numbers is 34. When the number 20 is added to them, what is the new mean? (a) 33 (b) 32 (c) 27 (d) 34
  15. 15.The mean of 4 numbers is 40. When the number 60 is added to them, what is the new mean? (a) 44 (b) 50 (c) 40 (d) 45
  16. 16.What is the mode of 20, 5, 17, 17, 10, 10 and 10? (a) 10 (b) 20 (c) 5 (d) 17
  17. 17.What is the mode of 2, 18, 3, 2, 3, 20 and 3? (a) 3 (b) 2 (c) 20 (d) 18
  18. 18.What is the mean of 4, 12, 8, 13, 3 and 8? (a) 9 (b) 7 (c) 10 (d) 8
  19. 19.What is the median of 20, 12, 38, 4 and 14? (a) 38 (b) 14 (c) 20 (d) 12
  20. 20.The mean of 7 numbers is 28. When the number 60 is added to them, what is the new mean? (a) 32 (b) 28 (c) 33 (d) 44
  21. 21.What is the median of 30, 32, 1, 33, 22, 7 and 2? (a) 22 (b) 30 (c) 33 (d) 7
  22. 22.The mean of 8 numbers is 30. When the number 66 is added to them, what is the new mean? (a) 48 (b) 35 (c) 30 (d) 34
  23. 23.What is the mode of 8, 8, 2, 7, 2, 2 and 15? (a) 8 (b) 15 (c) 7 (d) 2
  24. 24.What is the mean of 7, 2, 9 and 14? (a) 10 (b) 7 (c) 9 (d) 8
  25. 25.What is the median of 13, 21, 4, 27 and 1? (a) 14 (b) 13 (c) 4 (d) 21
  26. 26.What is the mean of 5, 4, 4, 7, 3 and 7? (a) 7 (b) 4 (c) 5 (d) 6
  27. 27.The mean of 4 numbers is 21. When the number 11 is added to them, what is the new mean? (a) 21 (b) 19 (c) 16 (d) 20
  28. 28.What is the median of 26, 34, 36, 1 and 3? (a) 26 (b) 34 (c) 20 (d) 36
  29. 29.What is the median of 7, 36, 40, 30 and 18? (a) 18 (b) 36 (c) 30 (d) 40
  30. 30.The mean of 3 numbers is 17. When the number 21 is added to them, what is the new mean? (a) 20 (b) 18 (c) 19 (d) 17
  31. 31.What is the median of 29, 20, 25, 39 and 3? (a) 26 (b) 20 (c) 25 (d) 29
  32. 32.What is the mean of 7, 15, 20, 2 and 11? (a) 13 (b) 10 (c) 11 (d) 12
  33. 33.What is the mean of 3, 17, 2, 11 and 22? (a) 13 (b) 12 (c) 10 (d) 11
  34. 34.What is the mode of 16, 7, 7, 12, 18, 16 and 7? (a) 18 (b) 7 (c) 16 (d) 12
  35. 35.What is the mode of 17, 17, 20, 17, 10, 1 and 20? (a) 20 (b) 17 (c) 1 (d) 10
  36. 36.What is the mean of 2, 10, 5 and 3? (a) 5 (b) 6 (c) 7 (d) 4
  37. 37.What is the mean of 9, 19, 19, 9 and 19? (a) 17 (b) 14 (c) 16 (d) 15
  38. 38.What is the mean of 3, 11, 7, 6, 4 and 11? (a) 6 (b) 8 (c) 9 (d) 7
  39. 39.What is the median of 4, 38, 31, 34 and 40? (a) 34 (b) 31 (c) 35 (d) 38
  40. 40.The mean of 4 numbers is 25. When the number 10 is added to them, what is the new mean? (a) 25 (b) 22 (c) 21 (d) 23

Answer key

  1. 18
  2. 12
  3. 10
  4. 10
  5. 12
  6. 14
  7. 11
  8. 38
  9. 25
  10. 33
  11. 8
  12. 9
  13. 15
  14. 32
  15. 44
  16. 10
  17. 3
  18. 8
  19. 14
  20. 32
  21. 22
  22. 34
  23. 2
  24. 8
  25. 13
  26. 5
  27. 19
  28. 26
  29. 30
  30. 18
  31. 25
  32. 11
  33. 11
  34. 7
  35. 17
  36. 5
  37. 15
  38. 7
  39. 34
  40. 22

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