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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 950 · 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 17, 24, 14, 5 and 31? (a) 24 (b) 17 (c) 18 (d) 14
  2. 2.The mean of 5 numbers is 13. When the number 37 is added to them, what is the new mean? (a) 17 (b) 25 (c) 18 (d) 13
  3. 3.The mean of 7 numbers is 15. When the number 39 is added to them, what is the new mean? (a) 19 (b) 27 (c) 18 (d) 15
  4. 4.What is the median of 14, 21, 35, 22 and 15? (a) 35 (b) 21 (c) 22 (d) 15
  5. 5.What is the mean of 12, 2, 6, 13, 9 and 12? (a) 11 (b) 9 (c) 8 (d) 10
  6. 6.What is the mean of 6, 16, 18, 6 and 4? (a) 12 (b) 11 (c) 9 (d) 10
  7. 7.What is the mode of 20, 5, 14, 20, 8, 20 and 5? (a) 5 (b) 14 (c) 20 (d) 8
  8. 8.What is the mean of 19, 13, 3, 12 and 13? (a) 13 (b) 15 (c) 10 (d) 12
  9. 9.What is the mode of 5, 12, 5, 19, 12, 11 and 12? (a) 19 (b) 12 (c) 5 (d) 11
  10. 10.The mean of 6 numbers is 17. When the number 38 is added to them, what is the new mean? (a) 19 (b) 21 (c) 20 (d) 17
  11. 11.The mean of 4 numbers is 39. When the number 54 is added to them, what is the new mean? (a) 42 (b) 41 (c) 43 (d) 39
  12. 12.What is the median of 6, 7, 23, 4, 32, 27 and 9? (a) 9 (b) 23 (c) 4 (d) 7
  13. 13.What is the median of 11, 28, 13, 20 and 29? (a) 13 (b) 20 (c) 21 (d) 28
  14. 14.What is the median of 29, 24, 13, 36, 15, 34 and 22? (a) 22 (b) 36 (c) 24 (d) 29
  15. 15.What is the mean of 8, 9, 18 and 9? (a) 13 (b) 10 (c) 11 (d) 12
  16. 16.What is the mode of 13, 5, 11, 10, 5, 10 and 5? (a) 11 (b) 13 (c) 10 (d) 5
  17. 17.The mean of 3 numbers is 19. When the number 3 is added to them, what is the new mean? (a) 16 (b) 11 (c) 19 (d) 15
  18. 18.What is the mode of 8, 3, 5, 5, 5, 18 and 3? (a) 18 (b) 8 (c) 3 (d) 5
  19. 19.What is the mean of 5, 12, 2 and 21? (a) 9 (b) 11 (c) 10 (d) 8
  20. 20.The mean of 4 numbers is 15. When the number 35 is added to them, what is the new mean? (a) 20 (b) 25 (c) 15 (d) 19
  21. 21.What is the mode of 7, 9, 7, 9, 7, 6 and 3? (a) 9 (b) 3 (c) 7 (d) 6
  22. 22.What is the mode of 4, 4, 6, 20, 6, 8 and 4? (a) 20 (b) 6 (c) 8 (d) 4
  23. 23.What is the mode of 7, 9, 12, 1, 12, 12 and 9? (a) 12 (b) 7 (c) 9 (d) 1
  24. 24.What is the median of 18, 37, 14, 25, 39, 38 and 17? (a) 37 (b) 25 (c) 26 (d) 18
  25. 25.What is the mean of 3, 17, 12 and 16? (a) 13 (b) 16 (c) 11 (d) 12
  26. 26.What is the mode of 18, 3, 8, 8, 18, 8 and 6? (a) 3 (b) 8 (c) 6 (d) 18
  27. 27.What is the median of 16, 19, 31, 7, 35, 29 and 10? (a) 21 (b) 19 (c) 7 (d) 29
  28. 28.What is the mode of 17, 17, 8, 17, 20, 1 and 8? (a) 8 (b) 1 (c) 20 (d) 17
  29. 29.What is the median of 23, 14, 30, 37, 8, 15 and 33? (a) 15 (b) 37 (c) 23 (d) 30
  30. 30.The mean of 5 numbers is 15. When the number 33 is added to them, what is the new mean? (a) 15 (b) 24 (c) 19 (d) 18
  31. 31.The mean of 7 numbers is 13. When the number 5 is added to them, what is the new mean? (a) 11 (b) 13 (c) 12 (d) 9
  32. 32.The mean of 4 numbers is 11. When the number 6 is added to them, what is the new mean? (a) 10 (b) 9 (c) 11 (d) 12
  33. 33.What is the mean of 18, 4, 6, 16 and 6? (a) 11 (b) 12 (c) 9 (d) 10
  34. 34.The mean of 4 numbers is 28. When the number 48 is added to them, what is the new mean? (a) 28 (b) 33 (c) 32 (d) 38
  35. 35.What is the mode of 19, 19, 11, 20, 19, 18 and 18? (a) 20 (b) 18 (c) 19 (d) 11
  36. 36.What is the mean of 5, 8, 9 and 10? (a) 10 (b) 9 (c) 7 (d) 8
  37. 37.What is the median of 30, 32, 18, 4, 14, 2 and 37? (a) 4 (b) 30 (c) 18 (d) 14
  38. 38.What is the mean of 8, 4, 16, 7 and 10? (a) 10 (b) 9 (c) 11 (d) 8
  39. 39.What is the mode of 14, 17, 16, 14, 19, 17 and 17? (a) 16 (b) 14 (c) 17 (d) 19
  40. 40.What is the median of 12, 8, 10, 34 and 22? (a) 12 (b) 13 (c) 10 (d) 22

Answer key

  1. 17
  2. 17
  3. 18
  4. 21
  5. 9
  6. 10
  7. 20
  8. 12
  9. 12
  10. 20
  11. 42
  12. 9
  13. 20
  14. 24
  15. 11
  16. 5
  17. 15
  18. 5
  19. 10
  20. 19
  21. 7
  22. 4
  23. 12
  24. 25
  25. 12
  26. 8
  27. 19
  28. 17
  29. 23
  30. 18
  31. 12
  32. 10
  33. 10
  34. 32
  35. 19
  36. 8
  37. 18
  38. 9
  39. 17
  40. 12

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