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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 940 · 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 40, 34, 17, 20 and 23? (a) 34 (b) 20 (c) 17 (d) 23
  2. 2.What is the mode of 11, 5, 11, 5, 1, 11 and 12? (a) 11 (b) 5 (c) 12 (d) 1
  3. 3.What is the median of 38, 39, 40, 29 and 10? (a) 29 (b) 38 (c) 40 (d) 39
  4. 4.What is the mode of 10, 9, 3, 3, 8, 10 and 3? (a) 3 (b) 8 (c) 10 (d) 9
  5. 5.What is the mode of 2, 6, 12, 17, 2, 6 and 6? (a) 17 (b) 2 (c) 12 (d) 6
  6. 6.What is the mode of 8, 8, 3, 12, 1, 3 and 8? (a) 8 (b) 1 (c) 3 (d) 12
  7. 7.The mean of 4 numbers is 16. When the number 1 is added to them, what is the new mean? (a) 13 (b) 14 (c) 12 (d) 16
  8. 8.What is the mean of 7, 17, 3 and 13? (a) 11 (b) 8 (c) 9 (d) 10
  9. 9.What is the median of 15, 38, 6, 20 and 37? (a) 20 (b) 6 (c) 37 (d) 15
  10. 10.The mean of 6 numbers is 29. When the number 15 is added to them, what is the new mean? (a) 22 (b) 28 (c) 29 (d) 27
  11. 11.What is the mean of 2, 18, 6 and 6? (a) 10 (b) 8 (c) 7 (d) 9
  12. 12.What is the mean of 5, 9, 12, 9 and 5? (a) 7 (b) 8 (c) 9 (d) 10
  13. 13.What is the mode of 2, 15, 3, 3, 15, 10 and 3? (a) 10 (b) 3 (c) 2 (d) 15
  14. 14.The mean of 6 numbers is 35. When the number 56 is added to them, what is the new mean? (a) 38 (b) 39 (c) 35 (d) 37
  15. 15.The mean of 5 numbers is 29. When the number 23 is added to them, what is the new mean? (a) 27 (b) 26 (c) 28 (d) 29
  16. 16.What is the median of 6, 19, 14, 18, 38, 20 and 25? (a) 20 (b) 18 (c) 21 (d) 19
  17. 17.What is the mode of 2, 5, 18, 5, 2, 4 and 2? (a) 2 (b) 18 (c) 5 (d) 4
  18. 18.The mean of 4 numbers is 24. When the number 19 is added to them, what is the new mean? (a) 22 (b) 24 (c) 25 (d) 23
  19. 19.What is the median of 7, 5, 30, 34, 38, 21 and 25? (a) 30 (b) 25 (c) 34 (d) 21
  20. 20.What is the mean of 14, 12, 13 and 13? (a) 15 (b) 12 (c) 13 (d) 14
  21. 21.The mean of 4 numbers is 22. When the number 7 is added to them, what is the new mean? (a) 19 (b) 22 (c) 18 (d) 20
  22. 22.What is the mean of 16, 12, 6 and 22? (a) 15 (b) 16 (c) 13 (d) 14
  23. 23.What is the mean of 16, 3, 2, 10, 11 and 12? (a) 11 (b) 9 (c) 8 (d) 10
  24. 24.What is the mean of 4, 12, 4, 7 and 18? (a) 10 (b) 11 (c) 9 (d) 8
  25. 25.What is the mean of 5, 9, 18 and 16? (a) 16 (b) 11 (c) 13 (d) 12
  26. 26.What is the mean of 3, 18, 10 and 9? (a) 9 (b) 8 (c) 11 (d) 10
  27. 27.The mean of 8 numbers is 21. When the number 48 is added to them, what is the new mean? (a) 21 (b) 25 (c) 24 (d) 23
  28. 28.What is the median of 32, 16, 8, 6 and 29? (a) 16 (b) 17 (c) 29 (d) 8
  29. 29.What is the median of 8, 17, 9, 31, 19, 38 and 6? (a) 9 (b) 17 (c) 31 (d) 19
  30. 30.The mean of 8 numbers is 19. When the number 46 is added to them, what is the new mean? (a) 23 (b) 21 (c) 22 (d) 19
  31. 31.The mean of 3 numbers is 14. When the number 6 is added to them, what is the new mean? (a) 10 (b) 13 (c) 12 (d) 14
  32. 32.The mean of 4 numbers is 23. When the number 18 is added to them, what is the new mean? (a) 21 (b) 24 (c) 22 (d) 23
  33. 33.The mean of 6 numbers is 30. When the number 37 is added to them, what is the new mean? (a) 30 (b) 32 (c) 31 (d) 33
  34. 34.What is the mean of 12, 13, 12 and 19? (a) 15 (b) 13 (c) 14 (d) 16
  35. 35.What is the mean of 4, 18, 15, 12, 16 and 7? (a) 13 (b) 11 (c) 14 (d) 12
  36. 36.What is the mean of 16, 2, 15, 4, 19 and 4? (a) 9 (b) 10 (c) 11 (d) 12
  37. 37.What is the median of 7, 36, 23, 31, 14, 19 and 15? (a) 15 (b) 31 (c) 19 (d) 23
  38. 38.What is the mode of 16, 9, 8, 6, 8, 6 and 8? (a) 9 (b) 6 (c) 16 (d) 8
  39. 39.What is the median of 4, 30, 23, 20, 33, 16 and 26? (a) 23 (b) 24 (c) 20 (d) 26
  40. 40.What is the mean of 11, 13, 12, 16, 5 and 15? (a) 11 (b) 13 (c) 14 (d) 12

Answer key

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

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