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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 816 · 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 7, 19, 28, 3 and 5? (a) 28 (b) 19 (c) 7 (d) 5
  2. 2.The mean of 4 numbers is 19. When the number 24 is added to them, what is the new mean? (a) 20 (b) 22 (c) 19 (d) 21
  3. 3.What is the median of 9, 16, 2, 25 and 5? (a) 5 (b) 16 (c) 9 (d) 2
  4. 4.What is the mode of 15, 5, 5, 16, 12, 12 and 5? (a) 5 (b) 15 (c) 12 (d) 16
  5. 5.What is the mode of 10, 10, 18, 18, 18, 1 and 5? (a) 1 (b) 10 (c) 5 (d) 18
  6. 6.What is the mean of 12, 5, 15, 4, 17 and 7? (a) 10 (b) 9 (c) 11 (d) 12
  7. 7.The mean of 3 numbers is 32. When the number 36 is added to them, what is the new mean? (a) 34 (b) 33 (c) 35 (d) 32
  8. 8.What is the median of 10, 12, 25, 5, 36, 29 and 14? (a) 5 (b) 14 (c) 12 (d) 25
  9. 9.What is the mode of 14, 5, 18, 18, 8, 8 and 8? (a) 14 (b) 5 (c) 18 (d) 8
  10. 10.What is the mean of 2, 13, 20 and 5? (a) 10 (b) 8 (c) 9 (d) 11
  11. 11.The mean of 4 numbers is 35. When the number 50 is added to them, what is the new mean? (a) 39 (b) 37 (c) 38 (d) 35
  12. 12.What is the mode of 8, 14, 3, 5, 14, 5 and 5? (a) 8 (b) 14 (c) 5 (d) 3
  13. 13.What is the mode of 13, 13, 4, 18, 4, 20 and 13? (a) 20 (b) 18 (c) 4 (d) 13
  14. 14.What is the mean of 20, 10, 5, 13 and 7? (a) 12 (b) 10 (c) 11 (d) 13
  15. 15.What is the mode of 16, 16, 16, 2, 2, 15 and 8? (a) 15 (b) 8 (c) 2 (d) 16
  16. 16.The mean of 6 numbers is 27. When the number 20 is added to them, what is the new mean? (a) 27 (b) 25 (c) 28 (d) 26
  17. 17.What is the mode of 1, 6, 15, 5, 15, 5 and 5? (a) 6 (b) 15 (c) 5 (d) 1
  18. 18.What is the median of 12, 20, 4, 37 and 33? (a) 12 (b) 33 (c) 20 (d) 4
  19. 19.What is the median of 2, 11, 6, 22 and 28? (a) 11 (b) 12 (c) 6 (d) 22
  20. 20.What is the mean of 13, 13, 6 and 8? (a) 9 (b) 8 (c) 10 (d) 11
  21. 21.What is the mode of 3, 1, 16, 6, 16, 16 and 1? (a) 16 (b) 1 (c) 6 (d) 3
  22. 22.What is the mean of 6, 11, 12, 4 and 7? (a) 10 (b) 7 (c) 9 (d) 8
  23. 23.What is the mean of 11, 9, 13, 12, 13 and 14? (a) 11 (b) 14 (c) 12 (d) 13
  24. 24.What is the median of 12, 25, 10, 1, 39, 3 and 16? (a) 10 (b) 16 (c) 1 (d) 12
  25. 25.What is the mean of 6, 5, 6 and 15? (a) 7 (b) 9 (c) 10 (d) 8
  26. 26.What is the median of 3, 20, 34, 28 and 24? (a) 28 (b) 20 (c) 34 (d) 24
  27. 27.What is the mean of 15, 10, 8, 6 and 11? (a) 11 (b) 10 (c) 9 (d) 12
  28. 28.What is the mean of 3, 9, 14, 3 and 11? (a) 9 (b) 8 (c) 10 (d) 7
  29. 29.What is the mean of 15, 13, 10, 5 and 7? (a) 10 (b) 12 (c) 11 (d) 9
  30. 30.What is the mean of 19, 12, 3 and 6? (a) 11 (b) 10 (c) 8 (d) 9
  31. 31.What is the median of 35, 21, 39, 32, 24, 23 and 13? (a) 24 (b) 25 (c) 32 (d) 23
  32. 32.What is the mean of 3, 12, 4, 2 and 4? (a) 6 (b) 5 (c) 7 (d) 4
  33. 33.What is the mode of 17, 3, 17, 20, 8, 17 and 3? (a) 17 (b) 8 (c) 3 (d) 20
  34. 34.What is the median of 20, 3, 6, 36 and 17? (a) 17 (b) 20 (c) 6 (d) 18
  35. 35.The mean of 4 numbers is 17. When the number 32 is added to them, what is the new mean? (a) 21 (b) 20 (c) 17 (d) 19
  36. 36.What is the mean of 12, 16, 7, 13 and 12? (a) 12 (b) 15 (c) 10 (d) 13
  37. 37.The mean of 3 numbers is 14. When the number 2 is added to them, what is the new mean? (a) 11 (b) 8 (c) 14 (d) 12
  38. 38.What is the mode of 1, 15, 5, 5, 15, 5 and 3? (a) 5 (b) 3 (c) 1 (d) 15
  39. 39.What is the mean of 18, 19, 10, 2, 4 and 13? (a) 13 (b) 10 (c) 11 (d) 12
  40. 40.What is the mean of 8, 10, 3, 3 and 6? (a) 6 (b) 7 (c) 8 (d) 5

Answer key

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

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