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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 158 · 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 3, 12, 2, 2, 1, 1 and 1? (a) 3 (b) 2 (c) 12 (d) 1
  2. 2.What is the mode of 19, 6, 6, 10, 10, 10 and 20? (a) 20 (b) 6 (c) 19 (d) 10
  3. 3.What is the mean of 5, 10, 19, 11 and 10? (a) 10 (b) 12 (c) 13 (d) 11
  4. 4.What is the median of 39, 20, 24, 22 and 13? (a) 20 (b) 22 (c) 24 (d) 23
  5. 5.The mean of 3 numbers is 27. When the number 15 is added to them, what is the new mean? (a) 24 (b) 21 (c) 25 (d) 27
  6. 6.What is the mode of 1, 3, 3, 18, 1, 3 and 8? (a) 3 (b) 1 (c) 18 (d) 8
  7. 7.The mean of 9 numbers is 21. When the number 1 is added to them, what is the new mean? (a) 21 (b) 19 (c) 20 (d) 11
  8. 8.What is the median of 27, 31, 13, 9, 33, 28 and 15? (a) 28 (b) 9 (c) 15 (d) 27
  9. 9.What is the mean of 6, 8, 14 and 4? (a) 9 (b) 8 (c) 7 (d) 10
  10. 10.What is the mode of 11, 5, 5, 16, 16, 3 and 16? (a) 11 (b) 5 (c) 3 (d) 16
  11. 11.What is the mode of 12, 12, 11, 19, 19, 7 and 19? (a) 12 (b) 19 (c) 11 (d) 7
  12. 12.What is the median of 15, 4, 20, 37 and 25? (a) 25 (b) 20 (c) 21 (d) 15
  13. 13.What is the mean of 5, 5, 19, 3 and 3? (a) 7 (b) 8 (c) 9 (d) 6
  14. 14.What is the mode of 20, 20, 2, 2, 20, 4 and 6? (a) 4 (b) 6 (c) 20 (d) 2
  15. 15.What is the median of 3, 24, 2, 39, 21, 31 and 33? (a) 21 (b) 31 (c) 24 (d) 39
  16. 16.The mean of 5 numbers is 13. When the number 25 is added to them, what is the new mean? (a) 13 (b) 16 (c) 19 (d) 15
  17. 17.What is the mode of 19, 7, 19, 6, 7, 4 and 7? (a) 19 (b) 4 (c) 6 (d) 7
  18. 18.What is the mean of 14, 19, 9, 11 and 22? (a) 17 (b) 14 (c) 16 (d) 15
  19. 19.What is the median of 33, 5, 10, 35 and 2? (a) 17 (b) 33 (c) 5 (d) 10
  20. 20.The mean of 3 numbers is 31. When the number 23 is added to them, what is the new mean? (a) 30 (b) 31 (c) 27 (d) 29
  21. 21.What is the mode of 1, 3, 20, 20, 3, 20 and 6? (a) 20 (b) 3 (c) 6 (d) 1
  22. 22.What is the mode of 10, 10, 1, 8, 10, 1 and 6? (a) 8 (b) 10 (c) 1 (d) 6
  23. 23.The mean of 3 numbers is 18. When the number 22 is added to them, what is the new mean? (a) 21 (b) 18 (c) 20 (d) 19
  24. 24.What is the mode of 12, 6, 15, 13, 6, 15 and 6? (a) 6 (b) 13 (c) 12 (d) 15
  25. 25.What is the median of 3, 21, 27, 30, 17, 39 and 4? (a) 30 (b) 17 (c) 21 (d) 27
  26. 26.The mean of 5 numbers is 20. When the number 38 is added to them, what is the new mean? (a) 20 (b) 24 (c) 23 (d) 29
  27. 27.What is the mode of 18, 5, 9, 5, 1, 1 and 1? (a) 9 (b) 18 (c) 5 (d) 1
  28. 28.What is the median of 11, 36, 10, 32 and 17? (a) 11 (b) 10 (c) 32 (d) 17
  29. 29.What is the mean of 17, 16, 2, 19, 6 and 18? (a) 13 (b) 12 (c) 14 (d) 15
  30. 30.What is the median of 16, 6, 32, 21, 20, 34 and 31? (a) 22 (b) 31 (c) 21 (d) 20
  31. 31.The mean of 6 numbers is 36. When the number 22 is added to them, what is the new mean? (a) 29 (b) 34 (c) 36 (d) 35
  32. 32.What is the median of 7, 16, 19, 32 and 29? (a) 29 (b) 20 (c) 19 (d) 16
  33. 33.What is the median of 25, 12, 17, 15, 7, 8 and 5? (a) 13 (b) 12 (c) 15 (d) 8
  34. 34.What is the median of 28, 26, 25, 34, 33, 40 and 20? (a) 26 (b) 33 (c) 34 (d) 28
  35. 35.The mean of 5 numbers is 21. When the number 33 is added to them, what is the new mean? (a) 24 (b) 23 (c) 21 (d) 27
  36. 36.What is the mode of 20, 20, 13, 13, 13, 3 and 19? (a) 19 (b) 20 (c) 13 (d) 3
  37. 37.The mean of 3 numbers is 26. When the number 34 is added to them, what is the new mean? (a) 26 (b) 28 (c) 29 (d) 30
  38. 38.What is the mode of 6, 3, 6, 4, 6, 9 and 9? (a) 4 (b) 9 (c) 6 (d) 3
  39. 39.The mean of 6 numbers is 12. When the number 26 is added to them, what is the new mean? (a) 19 (b) 12 (c) 14 (d) 15
  40. 40.What is the mode of 1, 4, 1, 4, 4, 18 and 8? (a) 1 (b) 8 (c) 18 (d) 4

Answer key

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

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