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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 441 · 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 6, 5, 19, 23 and 2? (a) 5 (b) 11 (c) 6 (d) 19
  2. 2.What is the median of 22, 3, 4, 21 and 29? (a) 4 (b) 22 (c) 20 (d) 21
  3. 3.What is the mode of 15, 19, 10, 19, 2, 15 and 19? (a) 19 (b) 15 (c) 10 (d) 2
  4. 4.What is the median of 1, 12, 8, 34, 2, 26 and 20? (a) 34 (b) 8 (c) 20 (d) 12
  5. 5.The mean of 3 numbers is 11. When the number 3 is added to them, what is the new mean? (a) 11 (b) 9 (c) 7 (d) 10
  6. 6.The mean of 4 numbers is 18. When the number 13 is added to them, what is the new mean? (a) 17 (b) 19 (c) 18 (d) 16
  7. 7.What is the mode of 14, 15, 16, 14, 16, 16 and 19? (a) 14 (b) 15 (c) 19 (d) 16
  8. 8.The mean of 9 numbers is 15. When the number 35 is added to them, what is the new mean? (a) 17 (b) 18 (c) 15 (d) 25
  9. 9.The mean of 4 numbers is 11. When the number 31 is added to them, what is the new mean? (a) 16 (b) 11 (c) 15 (d) 21
  10. 10.What is the mean of 19, 17, 3 and 17? (a) 14 (b) 13 (c) 15 (d) 16
  11. 11.What is the mean of 5, 5, 18, 10 and 7? (a) 11 (b) 8 (c) 10 (d) 9
  12. 12.What is the mode of 2, 13, 18, 2, 6, 6 and 2? (a) 6 (b) 18 (c) 2 (d) 13
  13. 13.What is the median of 20, 26, 32, 22, 16, 24 and 19? (a) 24 (b) 22 (c) 23 (d) 20
  14. 14.What is the mode of 1, 19, 7, 4, 19, 4 and 4? (a) 19 (b) 7 (c) 4 (d) 1
  15. 15.What is the mean of 6, 19, 12, 9 and 9? (a) 11 (b) 12 (c) 13 (d) 10
  16. 16.What is the mode of 20, 10, 8, 8, 10, 8 and 1? (a) 1 (b) 8 (c) 10 (d) 20
  17. 17.What is the mode of 15, 20, 15, 20, 7, 15 and 6? (a) 7 (b) 20 (c) 15 (d) 6
  18. 18.What is the mode of 15, 11, 15, 15, 11, 20 and 5? (a) 20 (b) 5 (c) 15 (d) 11
  19. 19.What is the mode of 9, 18, 9, 10, 9, 15 and 15? (a) 18 (b) 15 (c) 10 (d) 9
  20. 20.What is the median of 32, 2, 17, 18 and 1? (a) 17 (b) 2 (c) 18 (d) 14
  21. 21.What is the median of 34, 13, 11, 9 and 32? (a) 14 (b) 11 (c) 13 (d) 32
  22. 22.What is the mean of 3, 20, 4 and 21? (a) 12 (b) 11 (c) 13 (d) 16
  23. 23.What is the median of 4, 38, 16, 39, 29, 1 and 24? (a) 24 (b) 16 (c) 29 (d) 39
  24. 24.What is the mean of 5, 10, 4, 5, 18 and 12? (a) 10 (b) 8 (c) 9 (d) 11
  25. 25.What is the mode of 11, 2, 2, 6, 1, 6 and 6? (a) 6 (b) 1 (c) 11 (d) 2
  26. 26.What is the mode of 3, 3, 19, 9, 3, 14 and 19? (a) 3 (b) 14 (c) 9 (d) 19
  27. 27.The mean of 4 numbers is 31. When the number 36 is added to them, what is the new mean? (a) 32 (b) 34 (c) 31 (d) 33
  28. 28.What is the median of 7, 34, 6, 23, 13, 4 and 26? (a) 14 (b) 23 (c) 13 (d) 7
  29. 29.What is the median of 1, 7, 16, 36, 39, 26 and 12? (a) 12 (b) 36 (c) 16 (d) 26
  30. 30.What is the mode of 7, 1, 12, 2, 12, 12 and 1? (a) 7 (b) 12 (c) 2 (d) 1
  31. 31.What is the mode of 16, 5, 5, 16, 11, 3 and 16? (a) 16 (b) 5 (c) 3 (d) 11
  32. 32.What is the median of 16, 7, 13, 19 and 30? (a) 17 (b) 16 (c) 19 (d) 13
  33. 33.What is the median of 11, 22, 40, 6 and 1? (a) 11 (b) 22 (c) 40 (d) 16
  34. 34.What is the mode of 11, 11, 10, 15, 10, 16 and 10? (a) 16 (b) 10 (c) 11 (d) 15
  35. 35.What is the mode of 13, 10, 10, 1, 3, 1 and 1? (a) 10 (b) 13 (c) 3 (d) 1
  36. 36.What is the mean of 5, 5, 11, 14, 8 and 5? (a) 7 (b) 8 (c) 10 (d) 9
  37. 37.The mean of 6 numbers is 25. When the number 46 is added to them, what is the new mean? (a) 28 (b) 27 (c) 29 (d) 25
  38. 38.The mean of 3 numbers is 17. When the number 21 is added to them, what is the new mean? (a) 20 (b) 19 (c) 17 (d) 18
  39. 39.What is the mean of 4, 13, 10, 12 and 6? (a) 8 (b) 9 (c) 10 (d) 11
  40. 40.What is the mode of 1, 17, 13, 17, 6, 6 and 6? (a) 1 (b) 6 (c) 13 (d) 17

Answer key

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

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