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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 957 · 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 1, 1, 14, 8, 6, 6 and 6? (a) 6 (b) 14 (c) 1 (d) 8
  2. 2.What is the median of 37, 18, 40, 7 and 35? (a) 37 (b) 18 (c) 40 (d) 35
  3. 3.The mean of 4 numbers is 10. When the number 25 is added to them, what is the new mean? (a) 14 (b) 13 (c) 12 (d) 10
  4. 4.What is the median of 11, 30, 32, 37 and 33? (a) 31 (b) 30 (c) 32 (d) 33
  5. 5.What is the median of 11, 1, 36, 15 and 37? (a) 20 (b) 11 (c) 36 (d) 15
  6. 6.The mean of 6 numbers is 37. When the number 51 is added to them, what is the new mean? (a) 40 (b) 37 (c) 39 (d) 44
  7. 7.What is the mean of 6, 19, 3, 15, 20 and 21? (a) 12 (b) 13 (c) 15 (d) 14
  8. 8.What is the mode of 8, 6, 6, 19, 8, 6 and 14? (a) 19 (b) 14 (c) 6 (d) 8
  9. 9.The mean of 5 numbers is 36. When the number 54 is added to them, what is the new mean? (a) 36 (b) 45 (c) 39 (d) 40
  10. 10.The mean of 4 numbers is 20. When the number 40 is added to them, what is the new mean? (a) 24 (b) 30 (c) 25 (d) 20
  11. 11.What is the mean of 2, 5, 3, 10 and 5? (a) 5 (b) 7 (c) 6 (d) 4
  12. 12.The mean of 4 numbers is 35. When the number 40 is added to them, what is the new mean? (a) 35 (b) 38 (c) 36 (d) 37
  13. 13.What is the mean of 11, 15, 16 and 14? (a) 14 (b) 13 (c) 16 (d) 15
  14. 14.What is the mode of 3, 3, 7, 12, 7, 3 and 5? (a) 7 (b) 5 (c) 3 (d) 12
  15. 15.The mean of 3 numbers is 28. When the number 40 is added to them, what is the new mean? (a) 34 (b) 31 (c) 28 (d) 32
  16. 16.What is the mean of 10, 5, 6, 2 and 7? (a) 7 (b) 6 (c) 5 (d) 8
  17. 17.What is the mean of 9, 9, 15, 3, 17 and 25? (a) 15 (b) 12 (c) 13 (d) 14
  18. 18.What is the median of 10, 27, 32, 31 and 28? (a) 32 (b) 27 (c) 31 (d) 28
  19. 19.What is the mode of 3, 8, 8, 12, 3, 8 and 6? (a) 12 (b) 8 (c) 6 (d) 3
  20. 20.The mean of 7 numbers is 16. When the number 48 is added to them, what is the new mean? (a) 21 (b) 20 (c) 32 (d) 16
  21. 21.What is the mode of 5, 5, 5, 13, 14, 18 and 14? (a) 14 (b) 13 (c) 5 (d) 18
  22. 22.What is the median of 37, 24, 31, 14, 40, 16 and 35? (a) 31 (b) 35 (c) 14 (d) 24
  23. 23.The mean of 4 numbers is 25. When the number 20 is added to them, what is the new mean? (a) 26 (b) 24 (c) 23 (d) 25
  24. 24.What is the mode of 2, 6, 13, 13, 2, 13 and 14? (a) 6 (b) 13 (c) 14 (d) 2
  25. 25.What is the mode of 13, 8, 8, 15, 15, 15 and 9? (a) 9 (b) 15 (c) 8 (d) 13
  26. 26.What is the mean of 4, 11, 13, 16, 19 and 15? (a) 12 (b) 13 (c) 14 (d) 15
  27. 27.What is the median of 33, 37, 26, 31 and 18? (a) 31 (b) 29 (c) 33 (d) 26
  28. 28.What is the mean of 13, 3, 18 and 14? (a) 16 (b) 13 (c) 12 (d) 11
  29. 29.What is the mean of 10, 5, 13 and 16? (a) 10 (b) 12 (c) 11 (d) 13
  30. 30.The mean of 4 numbers is 19. When the number 9 is added to them, what is the new mean? (a) 19 (b) 17 (c) 18 (d) 14
  31. 31.The mean of 3 numbers is 26. When the number 18 is added to them, what is the new mean? (a) 24 (b) 25 (c) 26 (d) 22
  32. 32.What is the mean of 13, 8, 11, 5 and 13? (a) 10 (b) 9 (c) 12 (d) 11
  33. 33.What is the mean of 9, 5, 18, 18, 16 and 12? (a) 13 (b) 12 (c) 15 (d) 14
  34. 34.What is the mean of 14, 3, 9 and 6? (a) 8 (b) 9 (c) 7 (d) 10
  35. 35.What is the mode of 2, 13, 2, 1, 13, 18 and 2? (a) 1 (b) 13 (c) 2 (d) 18
  36. 36.The mean of 9 numbers is 25. When the number 35 is added to them, what is the new mean? (a) 30 (b) 25 (c) 26 (d) 27
  37. 37.The mean of 8 numbers is 15. When the number 6 is added to them, what is the new mean? (a) 15 (b) 13 (c) 16 (d) 14
  38. 38.The mean of 4 numbers is 39. When the number 34 is added to them, what is the new mean? (a) 37 (b) 40 (c) 38 (d) 39
  39. 39.The mean of 5 numbers is 11. When the number 17 is added to them, what is the new mean? (a) 13 (b) 12 (c) 11 (d) 14
  40. 40.The mean of 4 numbers is 14. When the number 29 is added to them, what is the new mean? (a) 16 (b) 14 (c) 17 (d) 18

Answer key

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

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