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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 766 · 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 1, 25, 20, 8 and 38? (a) 8 (b) 20 (c) 25 (d) 21
  2. 2.What is the mode of 4, 1, 4, 1, 1, 20 and 16? (a) 4 (b) 16 (c) 1 (d) 20
  3. 3.The mean of 7 numbers is 15. When the number 39 is added to them, what is the new mean? (a) 15 (b) 27 (c) 19 (d) 18
  4. 4.What is the mean of 6, 11, 18, 19, 16 and 14? (a) 13 (b) 14 (c) 15 (d) 12
  5. 5.What is the mean of 19, 15, 6, 18, 6 and 20? (a) 13 (b) 14 (c) 12 (d) 15
  6. 6.What is the median of 17, 7, 31, 24, 4, 9 and 3? (a) 17 (b) 9 (c) 7 (d) 24
  7. 7.What is the mean of 8, 3, 9 and 4? (a) 8 (b) 7 (c) 6 (d) 5
  8. 8.What is the mean of 2, 14, 17 and 15? (a) 16 (b) 11 (c) 12 (d) 13
  9. 9.What is the mode of 15, 15, 3, 15, 13, 4 and 3? (a) 13 (b) 15 (c) 4 (d) 3
  10. 10.What is the median of 5, 14, 17, 10 and 2? (a) 17 (b) 14 (c) 10 (d) 5
  11. 11.What is the median of 37, 2, 34, 18 and 7? (a) 18 (b) 7 (c) 34 (d) 19
  12. 12.What is the median of 27, 22, 29, 13, 10, 3 and 6? (a) 10 (b) 22 (c) 13 (d) 14
  13. 13.What is the median of 8, 27, 16, 34, 6, 35 and 3? (a) 34 (b) 8 (c) 16 (d) 27
  14. 14.What is the median of 6, 40, 23, 26, 27, 30 and 28? (a) 29 (b) 28 (c) 26 (d) 27
  15. 15.What is the median of 2, 28, 37, 20, 12, 40 and 1? (a) 12 (b) 28 (c) 21 (d) 20
  16. 16.What is the median of 12, 23, 16, 35 and 14? (a) 20 (b) 14 (c) 23 (d) 16
  17. 17.What is the median of 31, 36, 21, 1, 13, 5 and 16? (a) 1 (b) 21 (c) 16 (d) 13
  18. 18.What is the mean of 12, 5, 11, 16, 4 and 12? (a) 11 (b) 9 (c) 12 (d) 10
  19. 19.What is the median of 19, 12, 35, 32, 25, 33 and 27? (a) 28 (b) 25 (c) 32 (d) 27
  20. 20.What is the median of 7, 24, 2, 11, 5, 32 and 12? (a) 10 (b) 12 (c) 7 (d) 11
  21. 21.What is the median of 22, 6, 29, 35, 2, 38 and 5? (a) 29 (b) 22 (c) 6 (d) 35
  22. 22.What is the mean of 19, 6, 19, 15 and 16? (a) 15 (b) 17 (c) 14 (d) 16
  23. 23.The mean of 7 numbers is 23. When the number 7 is added to them, what is the new mean? (a) 23 (b) 15 (c) 21 (d) 22
  24. 24.The mean of 9 numbers is 17. When the number 27 is added to them, what is the new mean? (a) 22 (b) 17 (c) 18 (d) 19
  25. 25.What is the mode of 2, 1, 3, 10, 1, 10 and 1? (a) 1 (b) 10 (c) 2 (d) 3
  26. 26.The mean of 8 numbers is 40. When the number 58 is added to them, what is the new mean? (a) 42 (b) 43 (c) 49 (d) 40
  27. 27.The mean of 4 numbers is 15. When the number 20 is added to them, what is the new mean? (a) 17 (b) 18 (c) 16 (d) 15
  28. 28.What is the median of 7, 37, 16, 11, 33, 36 and 22? (a) 33 (b) 22 (c) 11 (d) 16
  29. 29.What is the median of 6, 26, 8, 10, 2, 25 and 23? (a) 23 (b) 8 (c) 11 (d) 10
  30. 30.What is the mode of 3, 3, 15, 3, 17, 10 and 15? (a) 10 (b) 3 (c) 15 (d) 17
  31. 31.What is the mode of 6, 6, 7, 7, 8, 2 and 6? (a) 2 (b) 6 (c) 8 (d) 7
  32. 32.What is the mean of 6, 12, 2, 10 and 15? (a) 11 (b) 8 (c) 9 (d) 10
  33. 33.What is the mean of 19, 2, 15, 5, 10 and 3? (a) 11 (b) 9 (c) 8 (d) 10
  34. 34.What is the mean of 15, 15, 19, 15, 2 and 18? (a) 15 (b) 14 (c) 12 (d) 13
  35. 35.What is the mode of 17, 2, 17, 2, 2, 14 and 16? (a) 14 (b) 2 (c) 17 (d) 16
  36. 36.The mean of 6 numbers is 27. When the number 13 is added to them, what is the new mean? (a) 26 (b) 20 (c) 27 (d) 25
  37. 37.The mean of 6 numbers is 26. When the number 54 is added to them, what is the new mean? (a) 40 (b) 30 (c) 26 (d) 31
  38. 38.What is the mean of 3, 6, 9 and 14? (a) 10 (b) 8 (c) 9 (d) 7
  39. 39.What is the median of 23, 34, 28, 8, 32, 27 and 25? (a) 8 (b) 27 (c) 28 (d) 25
  40. 40.What is the median of 21, 12, 15, 16 and 11? (a) 14 (b) 15 (c) 12 (d) 16

Answer key

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

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