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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 913 · 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 median of 38, 11, 36, 26, 24, 2 and 10? (a) 11 (b) 21 (c) 24 (d) 26
  2. 2.What is the median of 18, 30, 37, 4, 22, 23 and 26? (a) 22 (b) 26 (c) 4 (d) 23
  3. 3.What is the mean of 14, 7, 12, 13 and 14? (a) 13 (b) 15 (c) 10 (d) 12
  4. 4.What is the mean of 16, 5, 20, 15 and 14? (a) 14 (b) 15 (c) 13 (d) 16
  5. 5.What is the mode of 20, 20, 19, 16, 8, 19 and 19? (a) 16 (b) 8 (c) 19 (d) 20
  6. 6.The mean of 5 numbers is 11. When the number 23 is added to them, what is the new mean? (a) 13 (b) 14 (c) 17 (d) 11
  7. 7.What is the mean of 3, 6, 6 and 13? (a) 8 (b) 7 (c) 6 (d) 9
  8. 8.What is the mode of 19, 13, 19, 19, 8, 5 and 8? (a) 19 (b) 5 (c) 8 (d) 13
  9. 9.The mean of 4 numbers is 32. When the number 47 is added to them, what is the new mean? (a) 34 (b) 35 (c) 36 (d) 32
  10. 10.What is the median of 18, 27, 35, 2 and 37? (a) 27 (b) 18 (c) 35 (d) 28
  11. 11.What is the mode of 12, 3, 12, 2, 2, 4 and 2? (a) 4 (b) 12 (c) 3 (d) 2
  12. 12.What is the mode of 20, 15, 15, 15, 12, 17 and 12? (a) 12 (b) 17 (c) 20 (d) 15
  13. 13.What is the median of 10, 39, 8, 23 and 14? (a) 8 (b) 14 (c) 10 (d) 23
  14. 14.The mean of 7 numbers is 32. When the number 56 is added to them, what is the new mean? (a) 32 (b) 36 (c) 35 (d) 44
  15. 15.What is the mean of 19, 18, 3, 20 and 15? (a) 17 (b) 14 (c) 15 (d) 16
  16. 16.The mean of 6 numbers is 17. When the number 45 is added to them, what is the new mean? (a) 21 (b) 31 (c) 17 (d) 22
  17. 17.The mean of 3 numbers is 22. When the number 34 is added to them, what is the new mean? (a) 22 (b) 25 (c) 28 (d) 26
  18. 18.What is the mean of 17, 14, 14 and 11? (a) 15 (b) 16 (c) 14 (d) 13
  19. 19.What is the mean of 19, 2, 4, 3, 20 and 6? (a) 11 (b) 10 (c) 9 (d) 8
  20. 20.What is the mean of 12, 7, 14, 16, 17 and 12? (a) 14 (b) 12 (c) 15 (d) 13
  21. 21.What is the median of 6, 35, 11, 4 and 15? (a) 12 (b) 6 (c) 15 (d) 11
  22. 22.What is the mode of 20, 9, 2, 2, 2, 10 and 20? (a) 9 (b) 2 (c) 20 (d) 10
  23. 23.The mean of 4 numbers is 26. When the number 11 is added to them, what is the new mean? (a) 24 (b) 23 (c) 22 (d) 26
  24. 24.What is the mode of 16, 11, 19, 11, 11, 16 and 8? (a) 8 (b) 11 (c) 16 (d) 19
  25. 25.The mean of 4 numbers is 12. When the number 7 is added to them, what is the new mean? (a) 10 (b) 12 (c) 13 (d) 11
  26. 26.What is the mode of 11, 17, 17, 2, 11, 11 and 3? (a) 2 (b) 3 (c) 11 (d) 17
  27. 27.What is the mode of 19, 3, 14, 3, 15, 15 and 15? (a) 3 (b) 19 (c) 14 (d) 15
  28. 28.What is the mean of 15, 7, 5, 12, 11 and 16? (a) 10 (b) 12 (c) 13 (d) 11
  29. 29.What is the mode of 20, 20, 2, 1, 2, 20 and 11? (a) 2 (b) 11 (c) 20 (d) 1
  30. 30.What is the mode of 19, 20, 14, 19, 20, 20 and 3? (a) 3 (b) 20 (c) 19 (d) 14
  31. 31.What is the mean of 8, 2, 11, 3, 6 and 12? (a) 8 (b) 9 (c) 7 (d) 6
  32. 32.What is the mode of 5, 13, 4, 13, 5, 5 and 10? (a) 10 (b) 13 (c) 5 (d) 4
  33. 33.What is the mode of 2, 1, 19, 8, 2, 2 and 19? (a) 2 (b) 1 (c) 19 (d) 8
  34. 34.What is the mean of 19, 5, 2, 17 and 22? (a) 14 (b) 15 (c) 12 (d) 13
  35. 35.The mean of 9 numbers is 11. When the number 41 is added to them, what is the new mean? (a) 26 (b) 14 (c) 15 (d) 11
  36. 36.The mean of 3 numbers is 11. When the number 23 is added to them, what is the new mean? (a) 11 (b) 15 (c) 17 (d) 14
  37. 37.The mean of 6 numbers is 29. When the number 8 is added to them, what is the new mean? (a) 26 (b) 29 (c) 25 (d) 27
  38. 38.The mean of 6 numbers is 27. When the number 41 is added to them, what is the new mean? (a) 27 (b) 29 (c) 34 (d) 30
  39. 39.The mean of 3 numbers is 35. When the number 31 is added to them, what is the new mean? (a) 33 (b) 36 (c) 35 (d) 34
  40. 40.What is the mean of 2, 6, 3 and 5? (a) 6 (b) 3 (c) 5 (d) 4

Answer key

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

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