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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 611 · 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 38, 22, 25, 21, 4, 28 and 11? (a) 23 (b) 22 (c) 21 (d) 25
  2. 2.The mean of 5 numbers is 16. When the number 10 is added to them, what is the new mean? (a) 14 (b) 16 (c) 15 (d) 13
  3. 3.What is the mean of 7, 16, 3 and 22? (a) 11 (b) 16 (c) 13 (d) 12
  4. 4.What is the median of 11, 14, 30, 13 and 22? (a) 30 (b) 22 (c) 18 (d) 14
  5. 5.What is the mode of 5, 5, 14, 18, 18, 18 and 10? (a) 18 (b) 14 (c) 10 (d) 5
  6. 6.The mean of 4 numbers is 21. When the number 26 is added to them, what is the new mean? (a) 22 (b) 23 (c) 24 (d) 21
  7. 7.What is the median of 21, 22, 28, 1, 12, 24 and 30? (a) 24 (b) 21 (c) 1 (d) 22
  8. 8.The mean of 9 numbers is 35. When the number 65 is added to them, what is the new mean? (a) 39 (b) 50 (c) 35 (d) 38
  9. 9.The mean of 4 numbers is 10. When the number 15 is added to them, what is the new mean? (a) 10 (b) 13 (c) 12 (d) 11
  10. 10.The mean of 6 numbers is 14. When the number 42 is added to them, what is the new mean? (a) 28 (b) 18 (c) 19 (d) 14
  11. 11.The mean of 5 numbers is 10. When the number 16 is added to them, what is the new mean? (a) 13 (b) 12 (c) 10 (d) 11
  12. 12.What is the mode of 16, 4, 4, 5, 6, 16 and 16? (a) 4 (b) 16 (c) 6 (d) 5
  13. 13.What is the median of 7, 2, 24, 18, 19, 9 and 39? (a) 19 (b) 18 (c) 17 (d) 9
  14. 14.The mean of 6 numbers is 34. When the number 6 is added to them, what is the new mean? (a) 30 (b) 31 (c) 20 (d) 34
  15. 15.What is the median of 35, 1, 30, 22, 26, 2 and 7? (a) 26 (b) 23 (c) 22 (d) 7
  16. 16.What is the median of 20, 7, 32, 39 and 35? (a) 33 (b) 32 (c) 35 (d) 20
  17. 17.What is the mode of 7, 7, 12, 1, 1, 15 and 1? (a) 7 (b) 15 (c) 1 (d) 12
  18. 18.The mean of 5 numbers is 35. When the number 47 is added to them, what is the new mean? (a) 41 (b) 38 (c) 37 (d) 35
  19. 19.What is the median of 35, 12, 22, 4, 23, 27 and 5? (a) 22 (b) 12 (c) 4 (d) 23
  20. 20.The mean of 5 numbers is 15. When the number 39 is added to them, what is the new mean? (a) 15 (b) 20 (c) 27 (d) 19
  21. 21.What is the mean of 12, 16, 6 and 10? (a) 11 (b) 13 (c) 10 (d) 12
  22. 22.What is the mode of 5, 13, 13, 13, 4, 3 and 3? (a) 5 (b) 13 (c) 3 (d) 4
  23. 23.What is the mode of 10, 13, 10, 10, 12, 3 and 12? (a) 10 (b) 12 (c) 3 (d) 13
  24. 24.What is the median of 29, 9, 19, 6, 35, 7 and 26? (a) 9 (b) 26 (c) 19 (d) 6
  25. 25.What is the mean of 17, 3, 20 and 4? (a) 10 (b) 11 (c) 12 (d) 13
  26. 26.What is the median of 3, 8, 30, 33 and 35? (a) 31 (b) 30 (c) 8 (d) 33
  27. 27.The mean of 8 numbers is 35. When the number 71 is added to them, what is the new mean? (a) 39 (b) 53 (c) 35 (d) 40
  28. 28.What is the mode of 6, 1, 6, 6, 15, 3 and 15? (a) 15 (b) 6 (c) 3 (d) 1
  29. 29.What is the mean of 11, 6, 13 and 6? (a) 12 (b) 9 (c) 10 (d) 8
  30. 30.What is the mean of 10, 20, 3, 19, 6 and 8? (a) 13 (b) 10 (c) 12 (d) 11
  31. 31.What is the mean of 15, 5, 12 and 4? (a) 10 (b) 12 (c) 8 (d) 9
  32. 32.What is the mean of 16, 4, 14, 3 and 8? (a) 11 (b) 8 (c) 9 (d) 10
  33. 33.What is the median of 25, 31, 11, 36, 12, 14 and 26? (a) 14 (b) 36 (c) 26 (d) 25
  34. 34.What is the median of 39, 10, 25, 13 and 27? (a) 13 (b) 26 (c) 27 (d) 25
  35. 35.What is the mean of 9, 8, 15, 6, 7 and 3? (a) 7 (b) 9 (c) 10 (d) 8
  36. 36.What is the median of 31, 14, 6, 20 and 28? (a) 6 (b) 28 (c) 20 (d) 14
  37. 37.What is the mean of 13, 6, 3, 12 and 11? (a) 11 (b) 9 (c) 8 (d) 10
  38. 38.What is the mean of 7, 7, 4, 4 and 18? (a) 8 (b) 7 (c) 9 (d) 10
  39. 39.What is the mean of 12, 5, 16 and 23? (a) 13 (b) 16 (c) 14 (d) 15
  40. 40.The mean of 4 numbers is 11. When the number 31 is added to them, what is the new mean? (a) 15 (b) 21 (c) 11 (d) 16

Answer key

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

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