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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 996 · 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 mean of 13, 17, 17, 3, 8 and 14? (a) 14 (b) 11 (c) 13 (d) 12
  2. 2.The mean of 3 numbers is 20. When the number 8 is added to them, what is the new mean? (a) 17 (b) 20 (c) 14 (d) 18
  3. 3.What is the mean of 4, 11, 6, 6 and 3? (a) 8 (b) 7 (c) 5 (d) 6
  4. 4.The mean of 8 numbers is 31. When the number 49 is added to them, what is the new mean? (a) 40 (b) 34 (c) 31 (d) 33
  5. 5.The mean of 7 numbers is 12. When the number 4 is added to them, what is the new mean? (a) 8 (b) 11 (c) 10 (d) 12
  6. 6.What is the mode of 18, 15, 6, 9, 18, 6 and 6? (a) 6 (b) 15 (c) 9 (d) 18
  7. 7.What is the mode of 7, 10, 10, 20, 2, 7 and 7? (a) 2 (b) 20 (c) 10 (d) 7
  8. 8.What is the median of 15, 28, 24, 27, 2, 32 and 11? (a) 15 (b) 25 (c) 27 (d) 24
  9. 9.What is the mode of 9, 2, 9, 17, 9, 11 and 2? (a) 2 (b) 11 (c) 17 (d) 9
  10. 10.What is the mean of 14, 5, 14, 18 and 14? (a) 15 (b) 14 (c) 13 (d) 12
  11. 11.What is the mean of 14, 11, 4 and 15? (a) 12 (b) 13 (c) 11 (d) 10
  12. 12.What is the mode of 14, 14, 18, 2, 14, 4 and 2? (a) 4 (b) 18 (c) 14 (d) 2
  13. 13.The mean of 8 numbers is 38. When the number 2 is added to them, what is the new mean? (a) 38 (b) 20 (c) 34 (d) 35
  14. 14.What is the mean of 12, 17, 2 and 5? (a) 9 (b) 12 (c) 10 (d) 8
  15. 15.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
  16. 16.What is the mode of 6, 11, 20, 20, 11, 20 and 9? (a) 6 (b) 20 (c) 9 (d) 11
  17. 17.The mean of 3 numbers is 21. When the number 17 is added to them, what is the new mean? (a) 22 (b) 21 (c) 19 (d) 20
  18. 18.What is the mean of 10, 19, 7 and 16? (a) 12 (b) 15 (c) 13 (d) 14
  19. 19.The mean of 5 numbers is 24. When the number 12 is added to them, what is the new mean? (a) 24 (b) 23 (c) 22 (d) 18
  20. 20.What is the mode of 15, 13, 4, 12, 4, 4 and 13? (a) 15 (b) 4 (c) 12 (d) 13
  21. 21.What is the mean of 11, 19, 18 and 8? (a) 15 (b) 16 (c) 14 (d) 13
  22. 22.The mean of 4 numbers is 15. When the number 35 is added to them, what is the new mean? (a) 20 (b) 15 (c) 25 (d) 19
  23. 23.What is the median of 2, 6, 7, 28, 29, 37 and 33? (a) 7 (b) 27 (c) 29 (d) 28
  24. 24.What is the median of 6, 2, 33, 10, 32, 16 and 39? (a) 10 (b) 17 (c) 16 (d) 32
  25. 25.What is the median of 36, 14, 35, 27, 16, 13 and 23? (a) 27 (b) 16 (c) 24 (d) 23
  26. 26.What is the mean of 18, 6, 11 and 17? (a) 13 (b) 12 (c) 15 (d) 14
  27. 27.What is the mean of 7, 7, 5 and 5? (a) 7 (b) 8 (c) 6 (d) 5
  28. 28.What is the mode of 6, 16, 5, 16, 19, 16 and 19? (a) 19 (b) 5 (c) 6 (d) 16
  29. 29.What is the mean of 19, 9, 20, 6, 19 and 17? (a) 15 (b) 14 (c) 16 (d) 18
  30. 30.The mean of 3 numbers is 25. When the number 21 is added to them, what is the new mean? (a) 25 (b) 24 (c) 23 (d) 26
  31. 31.The mean of 9 numbers is 27. When the number 37 is added to them, what is the new mean? (a) 32 (b) 27 (c) 29 (d) 28
  32. 32.The mean of 6 numbers is 37. When the number 16 is added to them, what is the new mean? (a) 35 (b) 37 (c) 34 (d) 33
  33. 33.What is the mean of 11, 20, 4, 19 and 16? (a) 13 (b) 14 (c) 16 (d) 15
  34. 34.What is the mode of 8, 8, 2, 2, 3, 4 and 8? (a) 4 (b) 8 (c) 3 (d) 2
  35. 35.What is the mean of 19, 5, 11, 14 and 16? (a) 15 (b) 14 (c) 13 (d) 12
  36. 36.What is the mode of 19, 13, 8, 13, 7, 8 and 8? (a) 19 (b) 13 (c) 8 (d) 7
  37. 37.What is the mean of 7, 7, 5, 2, 16 and 5? (a) 6 (b) 9 (c) 7 (d) 8
  38. 38.What is the median of 16, 28, 29, 32, 10, 36 and 39? (a) 28 (b) 32 (c) 30 (d) 29
  39. 39.What is the median of 13, 33, 5, 35 and 18? (a) 5 (b) 13 (c) 18 (d) 33
  40. 40.What is the median of 33, 1, 3, 11 and 34? (a) 12 (b) 11 (c) 33 (d) 3

Answer key

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

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