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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 948 · 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 16, 16, 4, 8, 14, 4 and 16? (a) 14 (b) 16 (c) 4 (d) 8
  2. 2.What is the mode of 11, 20, 6, 6, 11, 11 and 17? (a) 17 (b) 11 (c) 6 (d) 20
  3. 3.What is the median of 38, 22, 9, 12, 5, 23 and 4? (a) 12 (b) 13 (c) 9 (d) 22
  4. 4.The mean of 4 numbers is 25. When the number 15 is added to them, what is the new mean? (a) 25 (b) 23 (c) 24 (d) 20
  5. 5.What is the median of 7, 8, 32, 4 and 12? (a) 12 (b) 8 (c) 32 (d) 7
  6. 6.The mean of 6 numbers is 35. When the number 21 is added to them, what is the new mean? (a) 34 (b) 33 (c) 35 (d) 28
  7. 7.What is the mean of 15, 10, 9, 4, 20 and 2? (a) 9 (b) 11 (c) 10 (d) 12
  8. 8.The mean of 8 numbers is 14. When the number 23 is added to them, what is the new mean? (a) 17 (b) 14 (c) 16 (d) 15
  9. 9.What is the mode of 7, 7, 17, 6, 4, 17 and 17? (a) 4 (b) 7 (c) 17 (d) 6
  10. 10.What is the mean of 19, 19, 16, 14 and 7? (a) 14 (b) 17 (c) 15 (d) 16
  11. 11.What is the mean of 12, 3, 20, 11 and 9? (a) 13 (b) 12 (c) 11 (d) 10
  12. 12.What is the mean of 19, 13, 7 and 21? (a) 15 (b) 20 (c) 12 (d) 16
  13. 13.What is the mean of 14, 15, 14, 5, 20 and 16? (a) 14 (b) 15 (c) 12 (d) 13
  14. 14.What is the median of 9, 10, 1, 8, 29, 34 and 15? (a) 10 (b) 9 (c) 8 (d) 15
  15. 15.The mean of 3 numbers is 26. When the number 10 is added to them, what is the new mean? (a) 26 (b) 18 (c) 22 (d) 23
  16. 16.What is the median of 34, 22, 14, 26, 1, 32 and 3? (a) 26 (b) 22 (c) 23 (d) 14
  17. 17.What is the median of 38, 37, 5, 31 and 30? (a) 37 (b) 5 (c) 31 (d) 30
  18. 18.What is the median of 38, 28, 10, 33, 34, 37 and 25? (a) 34 (b) 28 (c) 33 (d) 32
  19. 19.What is the mean of 10, 4, 5 and 9? (a) 8 (b) 7 (c) 9 (d) 6
  20. 20.What is the median of 6, 37, 27, 19 and 2? (a) 20 (b) 27 (c) 6 (d) 19
  21. 21.What is the median of 23, 20, 10, 1, 34, 4 and 38? (a) 23 (b) 1 (c) 10 (d) 20
  22. 22.What is the mode of 3, 14, 15, 16, 3, 14 and 14? (a) 16 (b) 3 (c) 15 (d) 14
  23. 23.What is the mean of 14, 3, 18 and 21? (a) 15 (b) 16 (c) 13 (d) 14
  24. 24.What is the mean of 16, 11, 3, 17 and 23? (a) 13 (b) 14 (c) 16 (d) 15
  25. 25.What is the median of 10, 8, 18, 29, 27, 24 and 32? (a) 27 (b) 18 (c) 24 (d) 29
  26. 26.What is the median of 8, 37, 27, 16 and 34? (a) 27 (b) 28 (c) 34 (d) 16
  27. 27.What is the median of 19, 15, 30, 6, 7, 36 and 14? (a) 14 (b) 15 (c) 19 (d) 6
  28. 28.What is the median of 38, 28, 3, 8, 14, 2 and 16? (a) 16 (b) 8 (c) 14 (d) 15
  29. 29.The mean of 9 numbers is 11. When the number 51 is added to them, what is the new mean? (a) 31 (b) 11 (c) 15 (d) 16
  30. 30.What is the mode of 14, 17, 9, 14, 17, 17 and 19? (a) 19 (b) 14 (c) 9 (d) 17
  31. 31.What is the mean of 4, 10, 7, 8 and 6? (a) 9 (b) 7 (c) 6 (d) 8
  32. 32.The mean of 3 numbers is 11. When the number 7 is added to them, what is the new mean? (a) 12 (b) 10 (c) 9 (d) 11
  33. 33.What is the mode of 19, 18, 3, 19, 3, 2 and 19? (a) 18 (b) 2 (c) 3 (d) 19
  34. 34.What is the mean of 18, 3, 18, 17 and 24? (a) 17 (b) 15 (c) 16 (d) 20
  35. 35.What is the median of 2, 22, 10, 35, 39, 4 and 12? (a) 35 (b) 12 (c) 10 (d) 22
  36. 36.What is the mode of 12, 11, 12, 11, 9, 12 and 8? (a) 8 (b) 11 (c) 9 (d) 12
  37. 37.What is the median of 31, 26, 21, 16 and 10? (a) 16 (b) 21 (c) 26 (d) 22
  38. 38.The mean of 4 numbers is 23. When the number 13 is added to them, what is the new mean? (a) 18 (b) 22 (c) 23 (d) 21
  39. 39.What is the mean of 5, 4, 6, 11, 14 and 20? (a) 12 (b) 11 (c) 9 (d) 10
  40. 40.What is the median of 6, 23, 9, 2 and 10? (a) 10 (b) 6 (c) 9 (d) 8

Answer key

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

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