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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 951 · 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 mode of 5, 5, 18, 18, 18, 20 and 19? (a) 20 (b) 19 (c) 5 (d) 18
  2. 2.What is the mean of 18, 10, 10, 7 and 15? (a) 13 (b) 10 (c) 15 (d) 12
  3. 3.What is the mode of 8, 1, 1, 6, 1, 10 and 10? (a) 1 (b) 8 (c) 10 (d) 6
  4. 4.The mean of 6 numbers is 17. When the number 10 is added to them, what is the new mean? (a) 15 (b) 16 (c) 18 (d) 17
  5. 5.What is the mean of 3, 18, 5, 12, 6 and 22? (a) 13 (b) 12 (c) 11 (d) 10
  6. 6.What is the mean of 13, 7, 6, 13 and 6? (a) 8 (b) 9 (c) 11 (d) 10
  7. 7.The mean of 3 numbers is 37. When the number 29 is added to them, what is the new mean? (a) 35 (b) 33 (c) 37 (d) 36
  8. 8.What is the mean of 11, 4, 3, 16 and 6? (a) 8 (b) 10 (c) 9 (d) 7
  9. 9.The mean of 7 numbers is 38. When the number 54 is added to them, what is the new mean? (a) 41 (b) 40 (c) 46 (d) 38
  10. 10.What is the median of 20, 40, 28, 32, 9, 17 and 10? (a) 32 (b) 17 (c) 28 (d) 20
  11. 11.The mean of 4 numbers is 29. When the number 14 is added to them, what is the new mean? (a) 26 (b) 29 (c) 25 (d) 27
  12. 12.What is the mean of 7, 19, 5, 6 and 13? (a) 11 (b) 10 (c) 12 (d) 9
  13. 13.What is the mode of 5, 1, 14, 1, 12, 5 and 5? (a) 1 (b) 12 (c) 5 (d) 14
  14. 14.The mean of 4 numbers is 33. When the number 38 is added to them, what is the new mean? (a) 35 (b) 36 (c) 34 (d) 33
  15. 15.What is the median of 40, 20, 11, 33, 35, 4 and 17? (a) 33 (b) 21 (c) 20 (d) 17
  16. 16.What is the median of 29, 11, 34, 6, 7, 32 and 38? (a) 11 (b) 6 (c) 32 (d) 29
  17. 17.What is the mean of 4, 2, 5, 9 and 5? (a) 5 (b) 7 (c) 6 (d) 4
  18. 18.What is the mode of 2, 6, 6, 2, 20, 6 and 10? (a) 20 (b) 10 (c) 2 (d) 6
  19. 19.What is the median of 2, 12, 19, 26 and 38? (a) 26 (b) 12 (c) 19 (d) 20
  20. 20.What is the mean of 19, 13, 4, 20 and 9? (a) 12 (b) 14 (c) 15 (d) 13
  21. 21.What is the mode of 14, 2, 15, 11, 15, 2 and 2? (a) 14 (b) 11 (c) 2 (d) 15
  22. 22.The mean of 3 numbers is 34. When the number 30 is added to them, what is the new mean? (a) 35 (b) 34 (c) 32 (d) 33
  23. 23.What is the median of 5, 6, 37, 30 and 34? (a) 30 (b) 6 (c) 34 (d) 37
  24. 24.The mean of 5 numbers is 28. When the number 46 is added to them, what is the new mean? (a) 31 (b) 28 (c) 37 (d) 32
  25. 25.What is the median of 30, 12, 17, 21, 32, 19 and 8? (a) 20 (b) 19 (c) 21 (d) 17
  26. 26.What is the median of 39, 6, 12, 5, 28, 3 and 20? (a) 20 (b) 5 (c) 6 (d) 12
  27. 27.What is the mean of 14, 19, 11, 10, 3 and 21? (a) 15 (b) 13 (c) 14 (d) 12
  28. 28.The mean of 6 numbers is 15. When the number 43 is added to them, what is the new mean? (a) 19 (b) 20 (c) 29 (d) 15
  29. 29.What is the mean of 6, 13, 19 and 2? (a) 10 (b) 11 (c) 9 (d) 8
  30. 30.What is the median of 15, 4, 32, 26 and 12? (a) 15 (b) 12 (c) 26 (d) 32
  31. 31.What is the mean of 18, 13, 2 and 19? (a) 14 (b) 15 (c) 12 (d) 13
  32. 32.The mean of 8 numbers is 25. When the number 52 is added to them, what is the new mean? (a) 28 (b) 27 (c) 29 (d) 25
  33. 33.What is the median of 15, 20, 24, 27 and 21? (a) 22 (b) 21 (c) 20 (d) 24
  34. 34.What is the mean of 7, 11, 20, 15, 13 and 6? (a) 14 (b) 13 (c) 11 (d) 12
  35. 35.What is the mode of 17, 8, 8, 8, 19, 2 and 17? (a) 17 (b) 2 (c) 8 (d) 19
  36. 36.The mean of 9 numbers is 27. When the number 57 is added to them, what is the new mean? (a) 42 (b) 30 (c) 31 (d) 27
  37. 37.What is the mean of 16, 20, 7, 17, 17 and 7? (a) 15 (b) 14 (c) 12 (d) 13
  38. 38.What is the mode of 4, 18, 11, 11, 4, 20 and 4? (a) 20 (b) 4 (c) 18 (d) 11
  39. 39.The mean of 3 numbers is 29. When the number 17 is added to them, what is the new mean? (a) 23 (b) 27 (c) 26 (d) 29
  40. 40.The mean of 6 numbers is 31. When the number 59 is added to them, what is the new mean? (a) 45 (b) 36 (c) 31 (d) 35

Answer key

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

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