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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 956 · 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 6, 4, 6, 2, 6, 12 and 12? (a) 12 (b) 2 (c) 4 (d) 6
  2. 2.What is the mode of 20, 11, 2, 20, 20, 11 and 9? (a) 11 (b) 20 (c) 9 (d) 2
  3. 3.What is the mean of 11, 16, 4 and 21? (a) 12 (b) 14 (c) 15 (d) 13
  4. 4.What is the mode of 18, 13, 16, 18, 16, 14 and 18? (a) 18 (b) 14 (c) 13 (d) 16
  5. 5.What is the median of 1, 34, 32, 9 and 25? (a) 26 (b) 9 (c) 25 (d) 32
  6. 6.What is the median of 35, 9, 1, 15, 19, 6 and 39? (a) 9 (b) 19 (c) 15 (d) 16
  7. 7.What is the median of 33, 7, 5, 28, 26, 2 and 31? (a) 26 (b) 28 (c) 7 (d) 27
  8. 8.What is the median of 11, 4, 14, 18, 33, 36 and 10? (a) 15 (b) 14 (c) 11 (d) 18
  9. 9.The mean of 7 numbers is 16. When the number 40 is added to them, what is the new mean? (a) 20 (b) 16 (c) 19 (d) 28
  10. 10.What is the mode of 18, 6, 2, 2, 18, 18 and 7? (a) 2 (b) 18 (c) 7 (d) 6
  11. 11.What is the mode of 6, 14, 7, 6, 12, 7 and 7? (a) 7 (b) 12 (c) 6 (d) 14
  12. 12.The mean of 5 numbers is 29. When the number 35 is added to them, what is the new mean? (a) 32 (b) 31 (c) 29 (d) 30
  13. 13.What is the median of 23, 35, 4, 33, 13, 2 and 12? (a) 12 (b) 33 (c) 23 (d) 13
  14. 14.What is the median of 27, 25, 4, 21 and 22? (a) 25 (b) 22 (c) 21 (d) 4
  15. 15.What is the mean of 17, 7, 13, 3, 9 and 5? (a) 10 (b) 8 (c) 11 (d) 9
  16. 16.What is the mean of 9, 14, 4 and 9? (a) 10 (b) 9 (c) 8 (d) 12
  17. 17.What is the mode of 5, 5, 14, 12, 14, 5 and 7? (a) 7 (b) 14 (c) 12 (d) 5
  18. 18.What is the mean of 8, 20, 16, 16, 18 and 12? (a) 14 (b) 18 (c) 16 (d) 15
  19. 19.What is the mode of 6, 5, 10, 6, 16, 5 and 6? (a) 16 (b) 10 (c) 5 (d) 6
  20. 20.What is the mode of 11, 9, 20, 13, 13, 11 and 13? (a) 9 (b) 11 (c) 13 (d) 20
  21. 21.What is the mode of 12, 14, 14, 15, 12, 19 and 14? (a) 15 (b) 12 (c) 14 (d) 19
  22. 22.The mean of 6 numbers is 17. When the number 10 is added to them, what is the new mean? (a) 18 (b) 17 (c) 15 (d) 16
  23. 23.The mean of 6 numbers is 37. When the number 58 is added to them, what is the new mean? (a) 41 (b) 40 (c) 39 (d) 37
  24. 24.What is the median of 31, 23, 36, 10 and 7? (a) 31 (b) 36 (c) 10 (d) 23
  25. 25.The mean of 3 numbers is 24. When the number 20 is added to them, what is the new mean? (a) 25 (b) 22 (c) 24 (d) 23
  26. 26.What is the median of 21, 31, 38, 25, 22, 16 and 7? (a) 23 (b) 21 (c) 22 (d) 25
  27. 27.What is the mode of 6, 6, 3, 15, 3, 14 and 3? (a) 15 (b) 6 (c) 14 (d) 3
  28. 28.What is the mean of 10, 19, 3, 13 and 20? (a) 14 (b) 15 (c) 12 (d) 13
  29. 29.What is the mode of 14, 4, 5, 14, 4, 4 and 16? (a) 14 (b) 16 (c) 5 (d) 4
  30. 30.What is the median of 36, 24, 22, 35, 9, 38 and 39? (a) 29 (b) 35 (c) 24 (d) 36
  31. 31.What is the mean of 5, 8, 5 and 6? (a) 6 (b) 5 (c) 7 (d) 8
  32. 32.What is the median of 13, 31, 34, 27 and 16? (a) 31 (b) 34 (c) 16 (d) 27
  33. 33.What is the median of 16, 1, 13, 34, 36, 26 and 17? (a) 16 (b) 26 (c) 34 (d) 17
  34. 34.What is the mode of 6, 10, 6, 6, 10, 17 and 2? (a) 2 (b) 17 (c) 6 (d) 10
  35. 35.What is the median of 29, 25, 24, 33, 35, 16 and 17? (a) 29 (b) 33 (c) 25 (d) 24
  36. 36.What is the mean of 15, 3, 19, 15 and 18? (a) 13 (b) 16 (c) 15 (d) 14
  37. 37.The mean of 5 numbers is 24. When the number 18 is added to them, what is the new mean? (a) 24 (b) 23 (c) 21 (d) 22
  38. 38.What is the mean of 20, 4, 13, 9 and 4? (a) 12 (b) 9 (c) 11 (d) 10
  39. 39.What is the mode of 6, 14, 12, 7, 12, 6 and 6? (a) 12 (b) 14 (c) 7 (d) 6
  40. 40.What is the median of 39, 7, 13, 10, 11, 2 and 3? (a) 10 (b) 11 (c) 9 (d) 7

Answer key

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

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