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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 406 · 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 5, 23, 7, 35 and 11? (a) 7 (b) 12 (c) 23 (d) 11
  2. 2.What is the mean of 7, 2, 6 and 5? (a) 4 (b) 6 (c) 7 (d) 5
  3. 3.What is the mean of 20, 20, 17 and 7? (a) 16 (b) 15 (c) 17 (d) 18
  4. 4.What is the mode of 4, 3, 2, 2, 9, 4 and 4? (a) 3 (b) 2 (c) 4 (d) 9
  5. 5.What is the mode of 19, 11, 14, 20, 19, 20 and 19? (a) 11 (b) 19 (c) 14 (d) 20
  6. 6.What is the mode of 3, 3, 8, 2, 15, 2 and 2? (a) 3 (b) 15 (c) 8 (d) 2
  7. 7.What is the mode of 6, 12, 12, 12, 6, 1 and 14? (a) 12 (b) 1 (c) 14 (d) 6
  8. 8.What is the mean of 4, 6, 20, 5 and 5? (a) 8 (b) 9 (c) 7 (d) 10
  9. 9.What is the median of 5, 9, 29, 35, 37, 27 and 33? (a) 25 (b) 33 (c) 29 (d) 35
  10. 10.The mean of 7 numbers is 29. When the number 5 is added to them, what is the new mean? (a) 29 (b) 26 (c) 27 (d) 17
  11. 11.The mean of 7 numbers is 24. When the number 16 is added to them, what is the new mean? (a) 23 (b) 22 (c) 24 (d) 20
  12. 12.What is the mode of 11, 15, 13, 9, 11, 11 and 13? (a) 15 (b) 13 (c) 11 (d) 9
  13. 13.What is the mode of 13, 12, 12, 8, 4, 8 and 8? (a) 8 (b) 12 (c) 13 (d) 4
  14. 14.The mean of 3 numbers is 26. When the number 22 is added to them, what is the new mean? (a) 24 (b) 26 (c) 25 (d) 27
  15. 15.What is the mean of 19, 3, 14 and 16? (a) 14 (b) 12 (c) 15 (d) 13
  16. 16.The mean of 8 numbers is 23. When the number 41 is added to them, what is the new mean? (a) 23 (b) 32 (c) 26 (d) 25
  17. 17.The mean of 7 numbers is 14. When the number 6 is added to them, what is the new mean? (a) 14 (b) 10 (c) 12 (d) 13
  18. 18.What is the mean of 19, 4, 3, 4, 12 and 12? (a) 9 (b) 11 (c) 10 (d) 8
  19. 19.What is the mean of 6, 4, 16, 14 and 10? (a) 9 (b) 12 (c) 10 (d) 11
  20. 20.The mean of 3 numbers is 35. When the number 51 is added to them, what is the new mean? (a) 39 (b) 43 (c) 40 (d) 35
  21. 21.The mean of 6 numbers is 18. When the number 4 is added to them, what is the new mean? (a) 16 (b) 11 (c) 17 (d) 18
  22. 22.What is the mean of 17, 8, 6, 13, 13 and 21? (a) 15 (b) 12 (c) 13 (d) 14
  23. 23.What is the mean of 6, 6, 7, 9 and 12? (a) 8 (b) 9 (c) 7 (d) 10
  24. 24.The mean of 3 numbers is 37. When the number 49 is added to them, what is the new mean? (a) 37 (b) 41 (c) 43 (d) 40
  25. 25.What is the mean of 2, 6, 12 and 16? (a) 10 (b) 8 (c) 12 (d) 9
  26. 26.What is the mean of 2, 2, 20 and 4? (a) 9 (b) 8 (c) 7 (d) 6
  27. 27.What is the mean of 5, 10, 4, 8 and 18? (a) 10 (b) 9 (c) 8 (d) 11
  28. 28.The mean of 3 numbers is 22. When the number 30 is added to them, what is the new mean? (a) 25 (b) 26 (c) 22 (d) 24
  29. 29.What is the mean of 8, 17, 3, 5 and 12? (a) 9 (b) 11 (c) 8 (d) 10
  30. 30.What is the median of 19, 24, 32, 37 and 8? (a) 24 (b) 32 (c) 19 (d) 25
  31. 31.What is the median of 36, 22, 19, 17 and 3? (a) 22 (b) 17 (c) 19 (d) 20
  32. 32.What is the mode of 14, 19, 9, 14, 19, 19 and 10? (a) 19 (b) 10 (c) 9 (d) 14
  33. 33.What is the mode of 11, 5, 5, 18, 6, 5 and 11? (a) 6 (b) 18 (c) 11 (d) 5
  34. 34.What is the median of 28, 36, 18, 38 and 10? (a) 26 (b) 36 (c) 18 (d) 28
  35. 35.What is the mode of 2, 7, 19, 7, 16, 19 and 19? (a) 2 (b) 16 (c) 7 (d) 19
  36. 36.What is the median of 30, 7, 36, 20, 16, 24 and 29? (a) 25 (b) 20 (c) 24 (d) 29
  37. 37.What is the mean of 13, 10, 12, 12, 2 and 17? (a) 13 (b) 12 (c) 11 (d) 10
  38. 38.The mean of 4 numbers is 19. When the number 24 is added to them, what is the new mean? (a) 21 (b) 20 (c) 22 (d) 19
  39. 39.What is the mode of 4, 14, 5, 5, 6, 14 and 14? (a) 5 (b) 14 (c) 6 (d) 4
  40. 40.What is the mean of 16, 14, 12 and 18? (a) 16 (b) 12 (c) 20 (d) 15

Answer key

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

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