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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 947 · 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, 16, 4, 4, 15, 4 and 16? (a) 5 (b) 4 (c) 15 (d) 16
  2. 2.What is the mode of 16, 19, 20, 20, 16, 18 and 20? (a) 18 (b) 20 (c) 19 (d) 16
  3. 3.The mean of 4 numbers is 15. When the number 25 is added to them, what is the new mean? (a) 15 (b) 20 (c) 17 (d) 18
  4. 4.The mean of 9 numbers is 29. When the number 9 is added to them, what is the new mean? (a) 28 (b) 19 (c) 29 (d) 27
  5. 5.What is the median of 39, 32, 8, 4 and 12? (a) 12 (b) 32 (c) 19 (d) 8
  6. 6.What is the mean of 19, 3, 20, 6 and 7? (a) 10 (b) 11 (c) 12 (d) 13
  7. 7.The mean of 5 numbers is 25. When the number 1 is added to them, what is the new mean? (a) 13 (b) 21 (c) 22 (d) 25
  8. 8.What is the median of 37, 38, 23, 4, 18, 21 and 2? (a) 21 (b) 4 (c) 23 (d) 18
  9. 9.What is the mean of 12, 4, 19, 4 and 6? (a) 8 (b) 9 (c) 11 (d) 10
  10. 10.The mean of 3 numbers is 32. When the number 44 is added to them, what is the new mean? (a) 35 (b) 38 (c) 36 (d) 32
  11. 11.What is the mean of 18, 8, 13 and 13? (a) 12 (b) 15 (c) 13 (d) 14
  12. 12.What is the mode of 10, 14, 6, 6, 6, 11 and 10? (a) 6 (b) 14 (c) 10 (d) 11
  13. 13.What is the mean of 6, 4, 16, 16 and 18? (a) 13 (b) 10 (c) 12 (d) 15
  14. 14.What is the mode of 10, 18, 20, 18, 18, 20 and 19? (a) 10 (b) 20 (c) 19 (d) 18
  15. 15.What is the median of 2, 6, 8, 21, 7, 32 and 39? (a) 7 (b) 8 (c) 21 (d) 9
  16. 16.What is the mode of 18, 18, 20, 19, 20, 18 and 9? (a) 20 (b) 9 (c) 18 (d) 19
  17. 17.What is the mean of 20, 9, 3 and 16? (a) 16 (b) 12 (c) 11 (d) 13
  18. 18.What is the median of 31, 26, 27, 15 and 6? (a) 26 (b) 27 (c) 15 (d) 21
  19. 19.What is the mode of 4, 3, 17, 3, 4, 2 and 4? (a) 4 (b) 3 (c) 17 (d) 2
  20. 20.What is the mode of 20, 15, 4, 15, 15, 4 and 19? (a) 4 (b) 19 (c) 20 (d) 15
  21. 21.What is the median of 17, 26, 11, 28, 40, 18 and 35? (a) 25 (b) 26 (c) 18 (d) 28
  22. 22.What is the mean of 10, 18, 3 and 13? (a) 13 (b) 10 (c) 11 (d) 12
  23. 23.What is the median of 1, 23, 5, 39, 32, 13 and 24? (a) 39 (b) 24 (c) 23 (d) 13
  24. 24.What is the median of 16, 11, 30, 13 and 18? (a) 18 (b) 16 (c) 13 (d) 30
  25. 25.What is the median of 17, 3, 24, 31 and 2? (a) 17 (b) 3 (c) 18 (d) 24
  26. 26.What is the mean of 4, 15, 13 and 20? (a) 13 (b) 14 (c) 15 (d) 12
  27. 27.What is the median of 1, 35, 5, 19 and 18? (a) 17 (b) 18 (c) 5 (d) 19
  28. 28.What is the mean of 6, 4, 12, 2 and 16? (a) 8 (b) 7 (c) 9 (d) 10
  29. 29.What is the mean of 17, 20, 18 and 17? (a) 18 (b) 17 (c) 19 (d) 24
  30. 30.The mean of 9 numbers is 39. When the number 49 is added to them, what is the new mean? (a) 40 (b) 41 (c) 39 (d) 44
  31. 31.What is the mean of 5, 19, 13, 11 and 12? (a) 13 (b) 12 (c) 10 (d) 15
  32. 32.What is the mean of 2, 12, 2 and 8? (a) 8 (b) 6 (c) 7 (d) 5
  33. 33.What is the mode of 11, 11, 17, 15, 3, 11 and 17? (a) 15 (b) 11 (c) 17 (d) 3
  34. 34.What is the mean of 4, 12, 6 and 10? (a) 10 (b) 9 (c) 7 (d) 8
  35. 35.What is the mode of 5, 2, 18, 18, 4, 4 and 4? (a) 4 (b) 18 (c) 2 (d) 5
  36. 36.What is the median of 23, 22, 39, 11, 7, 27 and 16? (a) 22 (b) 11 (c) 16 (d) 23
  37. 37.The mean of 3 numbers is 15. When the number 23 is added to them, what is the new mean? (a) 18 (b) 15 (c) 17 (d) 19
  38. 38.What is the median of 14, 12, 17, 39 and 19? (a) 18 (b) 19 (c) 17 (d) 14
  39. 39.What is the mode of 3, 1, 3, 1, 16, 18 and 3? (a) 18 (b) 1 (c) 16 (d) 3
  40. 40.What is the mean of 14, 20, 2 and 16? (a) 15 (b) 12 (c) 14 (d) 13

Answer key

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

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