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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 972 · 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 9, 3, 15, 13, 3, 3 and 9? (a) 13 (b) 3 (c) 15 (d) 9
  2. 2.What is the median of 25, 5, 27, 30, 40, 2 and 26? (a) 30 (b) 27 (c) 25 (d) 26
  3. 3.The mean of 9 numbers is 12. When the number 2 is added to them, what is the new mean? (a) 11 (b) 7 (c) 10 (d) 12
  4. 4.The mean of 3 numbers is 27. When the number 15 is added to them, what is the new mean? (a) 27 (b) 24 (c) 21 (d) 25
  5. 5.What is the mode of 14, 5, 5, 4, 14, 5 and 18? (a) 18 (b) 5 (c) 14 (d) 4
  6. 6.The mean of 4 numbers is 27. When the number 32 is added to them, what is the new mean? (a) 30 (b) 27 (c) 29 (d) 28
  7. 7.The mean of 4 numbers is 11. When the number 6 is added to them, what is the new mean? (a) 10 (b) 12 (c) 11 (d) 9
  8. 8.The mean of 6 numbers is 12. When the number 5 is added to them, what is the new mean? (a) 10 (b) 11 (c) 13 (d) 12
  9. 9.What is the mean of 13, 14, 6, 15, 7 and 17? (a) 14 (b) 11 (c) 13 (d) 12
  10. 10.What is the median of 14, 28, 33, 22 and 16? (a) 33 (b) 22 (c) 16 (d) 28
  11. 11.What is the mode of 15, 18, 18, 18, 19, 19 and 16? (a) 16 (b) 18 (c) 19 (d) 15
  12. 12.What is the mean of 6, 3, 6, 20, 7 and 12? (a) 8 (b) 9 (c) 11 (d) 10
  13. 13.The mean of 5 numbers is 15. When the number 33 is added to them, what is the new mean? (a) 18 (b) 19 (c) 15 (d) 24
  14. 14.What is the mean of 18, 8, 17, 14 and 13? (a) 14 (b) 15 (c) 13 (d) 16
  15. 15.What is the median of 25, 40, 22, 7 and 34? (a) 34 (b) 22 (c) 25 (d) 26
  16. 16.The mean of 4 numbers is 13. When the number 23 is added to them, what is the new mean? (a) 18 (b) 13 (c) 16 (d) 15
  17. 17.What is the mean of 14, 11, 4, 3, 18 and 10? (a) 11 (b) 12 (c) 10 (d) 9
  18. 18.What is the mean of 14, 9, 14, 5, 10 and 14? (a) 13 (b) 10 (c) 11 (d) 12
  19. 19.The mean of 6 numbers is 31. When the number 59 is added to them, what is the new mean? (a) 35 (b) 36 (c) 45 (d) 31
  20. 20.What is the median of 8, 17, 35, 29 and 13? (a) 17 (b) 29 (c) 13 (d) 35
  21. 21.The mean of 8 numbers is 25. When the number 43 is added to them, what is the new mean? (a) 27 (b) 34 (c) 25 (d) 28
  22. 22.What is the mode of 20, 20, 2, 20, 10, 1 and 2? (a) 1 (b) 10 (c) 20 (d) 2
  23. 23.What is the mean of 6, 4, 4, 5 and 16? (a) 6 (b) 8 (c) 7 (d) 9
  24. 24.What is the mode of 12, 12, 16, 7, 16, 12 and 1? (a) 1 (b) 16 (c) 12 (d) 7
  25. 25.What is the median of 30, 15, 11, 38, 27, 14 and 1? (a) 27 (b) 15 (c) 38 (d) 14
  26. 26.What is the mode of 2, 18, 13, 13, 1, 2 and 2? (a) 2 (b) 13 (c) 18 (d) 1
  27. 27.What is the mean of 20, 18, 3, 18 and 16? (a) 17 (b) 16 (c) 14 (d) 15
  28. 28.What is the mean of 6, 5, 4 and 13? (a) 9 (b) 6 (c) 7 (d) 8
  29. 29.What is the median of 5, 33, 25, 9 and 40? (a) 33 (b) 25 (c) 9 (d) 26
  30. 30.What is the mean of 12, 15, 2, 4, 17 and 10? (a) 12 (b) 10 (c) 11 (d) 9
  31. 31.What is the median of 13, 32, 39, 26, 3, 6 and 9? (a) 9 (b) 26 (c) 14 (d) 13
  32. 32.What is the median of 37, 32, 3, 39, 6, 34 and 7? (a) 34 (b) 39 (c) 7 (d) 32
  33. 33.What is the mean of 3, 2, 16 and 11? (a) 8 (b) 9 (c) 7 (d) 10
  34. 34.What is the mean of 8, 18, 2 and 20? (a) 16 (b) 13 (c) 12 (d) 11
  35. 35.What is the mean of 5, 17, 11, 4 and 13? (a) 9 (b) 12 (c) 11 (d) 10
  36. 36.What is the mean of 11, 10, 3, 5, 6 and 19? (a) 11 (b) 10 (c) 9 (d) 8
  37. 37.The mean of 3 numbers is 12. When the number 16 is added to them, what is the new mean? (a) 15 (b) 13 (c) 12 (d) 14
  38. 38.What is the median of 5, 21, 13, 18, 37, 32 and 14? (a) 20 (b) 21 (c) 14 (d) 18
  39. 39.What is the mean of 5, 11, 2, 20 and 2? (a) 10 (b) 9 (c) 8 (d) 7
  40. 40.What is the mean of 17, 20, 8, 12 and 18? (a) 15 (b) 17 (c) 14 (d) 16

Answer key

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

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