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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 147 · 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 mean of 2, 18, 19, 6 and 15? (a) 13 (b) 15 (c) 10 (d) 12
  2. 2.What is the median of 39, 7, 31, 36 and 26? (a) 26 (b) 32 (c) 31 (d) 36
  3. 3.What is the median of 10, 9, 21, 6, 34, 18 and 13? (a) 10 (b) 6 (c) 18 (d) 13
  4. 4.The mean of 6 numbers is 30. When the number 2 is added to them, what is the new mean? (a) 16 (b) 30 (c) 27 (d) 26
  5. 5.What is the mean of 14, 13, 8, 17 and 8? (a) 13 (b) 12 (c) 15 (d) 10
  6. 6.What is the mode of 7, 7, 5, 7, 5, 10 and 15? (a) 7 (b) 10 (c) 15 (d) 5
  7. 7.The mean of 4 numbers is 22. When the number 27 is added to them, what is the new mean? (a) 25 (b) 22 (c) 24 (d) 23
  8. 8.What is the mode of 17, 5, 19, 19, 3, 19 and 5? (a) 5 (b) 17 (c) 19 (d) 3
  9. 9.What is the mean of 17, 7, 12 and 16? (a) 14 (b) 15 (c) 13 (d) 12
  10. 10.What is the mean of 7, 7, 8, 17, 12 and 15? (a) 10 (b) 12 (c) 13 (d) 11
  11. 11.The mean of 3 numbers is 11. When the number 15 is added to them, what is the new mean? (a) 12 (b) 11 (c) 13 (d) 14
  12. 12.What is the mean of 6, 18, 14, 17, 7 and 4? (a) 10 (b) 13 (c) 12 (d) 11
  13. 13.What is the mean of 2, 8, 11, 11 and 18? (a) 11 (b) 9 (c) 12 (d) 10
  14. 14.What is the mean of 9, 5, 14, 15, 20 and 9? (a) 12 (b) 11 (c) 14 (d) 13
  15. 15.What is the median of 37, 11, 13, 6, 17, 1 and 12? (a) 11 (b) 6 (c) 12 (d) 13
  16. 16.What is the median of 12, 4, 19, 39 and 33? (a) 19 (b) 20 (c) 33 (d) 12
  17. 17.What is the mean of 20, 5, 13, 20 and 17? (a) 14 (b) 17 (c) 16 (d) 15
  18. 18.What is the mode of 9, 9, 3, 6, 15, 6 and 6? (a) 6 (b) 15 (c) 9 (d) 3
  19. 19.The mean of 7 numbers is 38. When the number 22 is added to them, what is the new mean? (a) 37 (b) 30 (c) 38 (d) 36
  20. 20.What is the mode of 19, 20, 18, 1, 18, 18 and 19? (a) 19 (b) 20 (c) 18 (d) 1
  21. 21.What is the mode of 9, 9, 20, 20, 3, 4 and 9? (a) 3 (b) 20 (c) 9 (d) 4
  22. 22.What is the mode of 15, 2, 15, 12, 11, 11 and 11? (a) 12 (b) 15 (c) 11 (d) 2
  23. 23.What is the mean of 4, 13, 18, 18 and 22? (a) 15 (b) 14 (c) 16 (d) 17
  24. 24.What is the mode of 5, 12, 13, 12, 12, 13 and 15? (a) 12 (b) 13 (c) 5 (d) 15
  25. 25.What is the median of 37, 24, 28, 38, 4, 2 and 7? (a) 20 (b) 24 (c) 28 (d) 38
  26. 26.What is the median of 24, 6, 36, 4, 10, 15 and 23? (a) 15 (b) 4 (c) 10 (d) 23
  27. 27.What is the mode of 18, 8, 8, 12, 8, 18 and 13? (a) 8 (b) 13 (c) 12 (d) 18
  28. 28.The mean of 4 numbers is 35. When the number 30 is added to them, what is the new mean? (a) 34 (b) 35 (c) 33 (d) 36
  29. 29.The mean of 3 numbers is 34. When the number 38 is added to them, what is the new mean? (a) 34 (b) 36 (c) 37 (d) 35
  30. 30.What is the mean of 20, 2, 17, 4 and 12? (a) 11 (b) 10 (c) 13 (d) 12
  31. 31.What is the mean of 6, 14, 7 and 9? (a) 8 (b) 9 (c) 10 (d) 12
  32. 32.What is the median of 17, 28, 4, 40 and 12? (a) 12 (b) 4 (c) 28 (d) 17
  33. 33.What is the mean of 5, 19, 5, 14, 4 and 13? (a) 9 (b) 11 (c) 10 (d) 12
  34. 34.What is the mode of 3, 14, 18, 3, 3, 8 and 18? (a) 8 (b) 3 (c) 18 (d) 14
  35. 35.What is the median of 37, 3, 24, 16, 38, 15 and 14? (a) 24 (b) 16 (c) 15 (d) 21
  36. 36.The mean of 6 numbers is 30. When the number 44 is added to them, what is the new mean? (a) 32 (b) 33 (c) 30 (d) 37
  37. 37.What is the mode of 5, 8, 18, 18, 16, 16 and 16? (a) 8 (b) 18 (c) 5 (d) 16
  38. 38.What is the mode of 15, 3, 7, 3, 6, 3 and 7? (a) 6 (b) 15 (c) 3 (d) 7
  39. 39.What is the median of 29, 15, 27, 28, 8, 10 and 11? (a) 28 (b) 11 (c) 15 (d) 27
  40. 40.What is the median of 7, 18, 5, 19 and 15? (a) 15 (b) 18 (c) 5 (d) 7

Answer key

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

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