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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 999 · 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.The mean of 3 numbers is 36. When the number 44 is added to them, what is the new mean? (a) 39 (b) 40 (c) 36 (d) 38
  2. 2.What is the mode of 12, 2, 8, 8, 12, 14 and 8? (a) 8 (b) 12 (c) 2 (d) 14
  3. 3.The mean of 7 numbers is 22. When the number 38 is added to them, what is the new mean? (a) 24 (b) 30 (c) 22 (d) 25
  4. 4.What is the mean of 18, 2, 12, 16, 17 and 7? (a) 11 (b) 13 (c) 12 (d) 14
  5. 5.What is the mean of 5, 5, 12, 20 and 13? (a) 12 (b) 11 (c) 13 (d) 10
  6. 6.What is the median of 23, 40, 20, 7 and 6? (a) 21 (b) 23 (c) 20 (d) 7
  7. 7.What is the median of 26, 5, 36, 33, 34, 10 and 23? (a) 33 (b) 23 (c) 27 (d) 26
  8. 8.What is the median of 29, 22, 5, 30, 40, 6 and 9? (a) 30 (b) 22 (c) 9 (d) 29
  9. 9.What is the median of 9, 5, 1, 8, 23, 39 and 26? (a) 10 (b) 8 (c) 23 (d) 9
  10. 10.What is the mean of 7, 18, 11, 18 and 11? (a) 12 (b) 14 (c) 15 (d) 13
  11. 11.What is the mean of 3, 12, 17, 11, 10 and 13? (a) 12 (b) 13 (c) 10 (d) 11
  12. 12.What is the mean of 4, 9, 3 and 16? (a) 8 (b) 7 (c) 10 (d) 9
  13. 13.What is the median of 1, 24, 34, 14 and 28? (a) 24 (b) 28 (c) 34 (d) 14
  14. 14.What is the median of 6, 3, 2, 40 and 32? (a) 6 (b) 32 (c) 2 (d) 3
  15. 15.What is the mean of 8, 4, 19 and 9? (a) 11 (b) 9 (c) 10 (d) 8
  16. 16.What is the median of 9, 20, 35, 4 and 3? (a) 35 (b) 4 (c) 9 (d) 20
  17. 17.What is the mode of 11, 5, 12, 4, 12, 5 and 12? (a) 4 (b) 11 (c) 12 (d) 5
  18. 18.What is the mean of 18, 3, 2, 16 and 11? (a) 9 (b) 10 (c) 11 (d) 12
  19. 19.What is the mode of 10, 16, 2, 14, 2, 14 and 14? (a) 14 (b) 16 (c) 2 (d) 10
  20. 20.What is the mode of 10, 14, 17, 3, 14, 10 and 10? (a) 14 (b) 3 (c) 10 (d) 17
  21. 21.What is the median of 25, 19, 20, 1, 34, 29 and 38? (a) 20 (b) 1 (c) 25 (d) 29
  22. 22.What is the median of 7, 22, 38, 29 and 14? (a) 29 (b) 38 (c) 22 (d) 14
  23. 23.What is the mode of 15, 7, 19, 15, 19, 14 and 15? (a) 14 (b) 15 (c) 7 (d) 19
  24. 24.What is the mode of 17, 2, 16, 10, 17, 16 and 16? (a) 10 (b) 16 (c) 2 (d) 17
  25. 25.What is the mean of 13, 4, 16 and 15? (a) 12 (b) 16 (c) 11 (d) 13
  26. 26.The mean of 5 numbers is 29. When the number 35 is added to them, what is the new mean? (a) 32 (b) 29 (c) 30 (d) 31
  27. 27.What is the mode of 10, 5, 5, 9, 1, 10 and 10? (a) 10 (b) 9 (c) 1 (d) 5
  28. 28.What is the mode of 2, 18, 3, 2, 7, 7 and 7? (a) 3 (b) 7 (c) 18 (d) 2
  29. 29.The mean of 5 numbers is 29. When the number 53 is added to them, what is the new mean? (a) 41 (b) 34 (c) 33 (d) 29
  30. 30.What is the mean of 14, 8, 10, 12, 12 and 4? (a) 11 (b) 9 (c) 12 (d) 10
  31. 31.What is the median of 20, 24, 8, 5, 14, 39 and 23? (a) 19 (b) 23 (c) 20 (d) 5
  32. 32.The mean of 8 numbers is 14. When the number 5 is added to them, what is the new mean? (a) 12 (b) 14 (c) 13 (d) 15
  33. 33.The mean of 5 numbers is 30. When the number 12 is added to them, what is the new mean? (a) 28 (b) 21 (c) 27 (d) 30
  34. 34.What is the mean of 6, 12, 17 and 13? (a) 16 (b) 12 (c) 11 (d) 13
  35. 35.What is the mean of 2, 7, 9, 4, 12 and 20? (a) 10 (b) 11 (c) 9 (d) 8
  36. 36.The mean of 3 numbers is 26. When the number 10 is added to them, what is the new mean? (a) 26 (b) 23 (c) 22 (d) 18
  37. 37.The mean of 7 numbers is 20. When the number 36 is added to them, what is the new mean? (a) 22 (b) 28 (c) 23 (d) 20
  38. 38.The mean of 9 numbers is 29. When the number 9 is added to them, what is the new mean? (a) 19 (b) 28 (c) 29 (d) 27
  39. 39.What is the mean of 10, 5, 13 and 4? (a) 10 (b) 9 (c) 8 (d) 7
  40. 40.The mean of 7 numbers is 30. When the number 38 is added to them, what is the new mean? (a) 34 (b) 30 (c) 31 (d) 32

Answer key

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

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