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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 411 · 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 8, 19, 8, 1, 4, 1 and 1? (a) 8 (b) 19 (c) 4 (d) 1
  2. 2.What is the mode of 11, 5, 11, 11, 5, 7 and 14? (a) 5 (b) 11 (c) 7 (d) 14
  3. 3.What is the median of 17, 7, 31, 1 and 4? (a) 7 (b) 31 (c) 12 (d) 17
  4. 4.What is the mode of 17, 15, 2, 8, 2, 8 and 8? (a) 15 (b) 8 (c) 2 (d) 17
  5. 5.What is the median of 31, 25, 26, 21 and 8? (a) 21 (b) 25 (c) 26 (d) 24
  6. 6.What is the mean of 7, 7, 12, 8, 4 and 10? (a) 7 (b) 10 (c) 9 (d) 8
  7. 7.What is the mean of 3, 13, 8, 11, 12 and 7? (a) 11 (b) 9 (c) 8 (d) 10
  8. 8.What is the median of 20, 40, 19, 24 and 31? (a) 19 (b) 31 (c) 24 (d) 20
  9. 9.What is the mean of 7, 13, 19, 13 and 18? (a) 16 (b) 14 (c) 15 (d) 13
  10. 10.What is the mean of 7, 19, 3, 2, 14 and 3? (a) 7 (b) 10 (c) 9 (d) 8
  11. 11.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
  12. 12.What is the mean of 8, 6, 5 and 21? (a) 8 (b) 9 (c) 11 (d) 10
  13. 13.What is the median of 28, 19, 9, 38, 30, 37 and 3? (a) 30 (b) 38 (c) 19 (d) 28
  14. 14.The mean of 3 numbers is 27. When the number 15 is added to them, what is the new mean? (a) 21 (b) 24 (c) 25 (d) 27
  15. 15.What is the median of 5, 26, 3, 7 and 33? (a) 3 (b) 7 (c) 26 (d) 5
  16. 16.What is the mean of 2, 20, 17 and 5? (a) 10 (b) 13 (c) 12 (d) 11
  17. 17.What is the mean of 8, 16, 15, 9 and 2? (a) 12 (b) 9 (c) 10 (d) 11
  18. 18.What is the mode of 7, 2, 7, 10, 2, 7 and 3? (a) 2 (b) 3 (c) 10 (d) 7
  19. 19.What is the mean of 11, 10, 2, 5 and 17? (a) 8 (b) 11 (c) 9 (d) 10
  20. 20.What is the mean of 6, 3, 10 and 5? (a) 7 (b) 8 (c) 6 (d) 5
  21. 21.What is the mean of 14, 15, 10 and 13? (a) 13 (b) 12 (c) 15 (d) 14
  22. 22.What is the mode of 9, 5, 5, 9, 3, 5 and 19? (a) 9 (b) 5 (c) 3 (d) 19
  23. 23.The mean of 3 numbers is 18. When the number 30 is added to them, what is the new mean? (a) 21 (b) 24 (c) 22 (d) 18
  24. 24.What is the median of 2, 21, 16, 3, 38, 12 and 6? (a) 12 (b) 16 (c) 14 (d) 3
  25. 25.What is the median of 18, 15, 19, 31 and 26? (a) 26 (b) 18 (c) 19 (d) 20
  26. 26.What is the mean of 13, 5, 4, 7, 12 and 19? (a) 12 (b) 9 (c) 10 (d) 11
  27. 27.What is the median of 26, 16, 7, 8 and 1? (a) 16 (b) 8 (c) 9 (d) 7
  28. 28.The mean of 3 numbers is 22. When the number 26 is added to them, what is the new mean? (a) 24 (b) 22 (c) 25 (d) 23
  29. 29.What is the mean of 7, 3, 15 and 7? (a) 10 (b) 7 (c) 8 (d) 9
  30. 30.What is the mean of 8, 18, 2 and 8? (a) 9 (b) 8 (c) 12 (d) 10
  31. 31.The mean of 9 numbers is 33. When the number 43 is added to them, what is the new mean? (a) 33 (b) 38 (c) 35 (d) 34
  32. 32.What is the mean of 11, 10, 13, 2, 2 and 22? (a) 11 (b) 9 (c) 12 (d) 10
  33. 33.What is the median of 21, 27, 28, 3 and 25? (a) 28 (b) 21 (c) 27 (d) 25
  34. 34.The mean of 7 numbers is 17. When the number 33 is added to them, what is the new mean? (a) 17 (b) 20 (c) 25 (d) 19
  35. 35.What is the mode of 3, 1, 18, 1, 1, 6 and 18? (a) 3 (b) 6 (c) 18 (d) 1
  36. 36.What is the mean of 18, 7, 3, 2 and 15? (a) 11 (b) 9 (c) 10 (d) 8
  37. 37.What is the mode of 11, 11, 18, 6, 18, 11 and 13? (a) 11 (b) 6 (c) 18 (d) 13
  38. 38.What is the mean of 16, 5, 5 and 2? (a) 6 (b) 8 (c) 9 (d) 7
  39. 39.The mean of 7 numbers is 14. When the number 30 is added to them, what is the new mean? (a) 22 (b) 14 (c) 17 (d) 16
  40. 40.What is the mode of 19, 17, 15, 15, 15, 17 and 4? (a) 4 (b) 19 (c) 15 (d) 17

Answer key

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

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