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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 995 · 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 17, 14, 5, 15, 8 and 7? (a) 13 (b) 10 (c) 11 (d) 12
  2. 2.What is the median of 39, 22, 30, 18 and 2? (a) 22 (b) 23 (c) 18 (d) 30
  3. 3.What is the mean of 3, 7, 13 and 13? (a) 12 (b) 8 (c) 10 (d) 9
  4. 4.What is the mode of 8, 17, 17, 17, 3, 9 and 8? (a) 8 (b) 17 (c) 9 (d) 3
  5. 5.The mean of 7 numbers is 11. When the number 27 is added to them, what is the new mean? (a) 14 (b) 11 (c) 19 (d) 13
  6. 6.What is the mean of 6, 18, 5, 14 and 7? (a) 11 (b) 12 (c) 9 (d) 10
  7. 7.What is the mode of 12, 6, 12, 3, 3, 7 and 3? (a) 3 (b) 6 (c) 12 (d) 7
  8. 8.What is the mean of 18, 16, 7 and 11? (a) 14 (b) 15 (c) 13 (d) 12
  9. 9.The mean of 5 numbers is 26. When the number 2 is added to them, what is the new mean? (a) 22 (b) 14 (c) 23 (d) 26
  10. 10.What is the mode of 1, 14, 19, 6, 6, 6 and 14? (a) 14 (b) 19 (c) 1 (d) 6
  11. 11.What is the median of 32, 37, 18, 35 and 15? (a) 33 (b) 32 (c) 18 (d) 35
  12. 12.What is the mode of 9, 10, 16, 7, 9, 7 and 7? (a) 10 (b) 7 (c) 16 (d) 9
  13. 13.What is the median of 35, 7, 31, 20 and 36? (a) 35 (b) 20 (c) 32 (d) 31
  14. 14.The mean of 6 numbers is 30. When the number 2 is added to them, what is the new mean? (a) 16 (b) 27 (c) 30 (d) 26
  15. 15.What is the median of 40, 12, 35, 28 and 27? (a) 29 (b) 27 (c) 28 (d) 35
  16. 16.The mean of 7 numbers is 39. When the number 31 is added to them, what is the new mean? (a) 37 (b) 39 (c) 35 (d) 38
  17. 17.What is the mean of 4, 8, 14, 15 and 4? (a) 9 (b) 10 (c) 8 (d) 11
  18. 18.What is the median of 29, 4, 30, 36 and 8? (a) 8 (b) 28 (c) 29 (d) 30
  19. 19.What is the mode of 18, 17, 1, 17, 2, 18 and 18? (a) 17 (b) 1 (c) 18 (d) 2
  20. 20.The mean of 3 numbers is 15. When the number 31 is added to them, what is the new mean? (a) 19 (b) 20 (c) 23 (d) 15
  21. 21.What is the mean of 16, 10, 16 and 18? (a) 12 (b) 15 (c) 16 (d) 20
  22. 22.What is the mean of 14, 12, 8 and 18? (a) 15 (b) 12 (c) 14 (d) 13
  23. 23.The mean of 4 numbers is 27. When the number 22 is added to them, what is the new mean? (a) 27 (b) 25 (c) 28 (d) 26
  24. 24.What is the mean of 2, 12, 19 and 23? (a) 16 (b) 15 (c) 13 (d) 14
  25. 25.What is the median of 12, 5, 7, 4 and 32? (a) 8 (b) 5 (c) 12 (d) 7
  26. 26.What is the mean of 4, 10, 8 and 10? (a) 10 (b) 7 (c) 8 (d) 9
  27. 27.What is the median of 5, 14, 18, 2 and 15? (a) 15 (b) 14 (c) 18 (d) 5
  28. 28.What is the mean of 15, 4, 19 and 14? (a) 12 (b) 14 (c) 15 (d) 13
  29. 29.What is the median of 2, 26, 29, 31 and 15? (a) 15 (b) 27 (c) 26 (d) 29
  30. 30.What is the mean of 18, 19, 17, 6 and 10? (a) 14 (b) 15 (c) 13 (d) 16
  31. 31.What is the median of 35, 32, 1, 13, 33, 23 and 34? (a) 33 (b) 13 (c) 32 (d) 23
  32. 32.What is the median of 1, 13, 26, 25 and 34? (a) 24 (b) 25 (c) 13 (d) 26
  33. 33.The mean of 9 numbers is 18. When the number 8 is added to them, what is the new mean? (a) 18 (b) 17 (c) 16 (d) 13
  34. 34.What is the median of 4, 6, 26, 14 and 19? (a) 19 (b) 14 (c) 6 (d) 26
  35. 35.What is the mode of 15, 11, 11, 15, 14, 7 and 15? (a) 11 (b) 15 (c) 7 (d) 14
  36. 36.What is the mode of 12, 4, 10, 10, 4, 10 and 16? (a) 10 (b) 12 (c) 16 (d) 4
  37. 37.What is the mode of 4, 16, 8, 16, 13, 16 and 8? (a) 16 (b) 4 (c) 8 (d) 13
  38. 38.The mean of 6 numbers is 34. When the number 27 is added to them, what is the new mean? (a) 32 (b) 34 (c) 35 (d) 33
  39. 39.What is the mode of 7, 12, 12, 8, 8, 14 and 8? (a) 14 (b) 12 (c) 8 (d) 7
  40. 40.What is the median of 29, 39, 17, 11 and 23? (a) 29 (b) 23 (c) 24 (d) 17

Answer key

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

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