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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 479 · 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, 40, 34, 26 and 28? (a) 26 (b) 34 (c) 29 (d) 28
  2. 2.What is the mean of 10, 18, 18, 20, 11 and 13? (a) 14 (b) 18 (c) 16 (d) 15
  3. 3.What is the median of 35, 11, 13, 17 and 6? (a) 14 (b) 13 (c) 11 (d) 17
  4. 4.What is the median of 15, 26, 2, 8 and 4? (a) 2 (b) 8 (c) 11 (d) 15
  5. 5.What is the mode of 15, 13, 3, 1, 13, 15 and 15? (a) 15 (b) 13 (c) 1 (d) 3
  6. 6.What is the mean of 13, 3, 8, 6 and 20? (a) 10 (b) 9 (c) 11 (d) 12
  7. 7.What is the mean of 18, 18, 8 and 4? (a) 16 (b) 11 (c) 12 (d) 13
  8. 8.What is the mode of 4, 4, 17, 11, 11, 11 and 6? (a) 4 (b) 6 (c) 17 (d) 11
  9. 9.What is the mode of 5, 7, 7, 7, 5, 4 and 19? (a) 4 (b) 7 (c) 19 (d) 5
  10. 10.The mean of 8 numbers is 12. When the number 3 is added to them, what is the new mean? (a) 11 (b) 13 (c) 10 (d) 12
  11. 11.The mean of 3 numbers is 38. When the number 34 is added to them, what is the new mean? (a) 38 (b) 39 (c) 37 (d) 36
  12. 12.What is the mean of 5, 16, 18 and 9? (a) 12 (b) 11 (c) 16 (d) 13
  13. 13.What is the median of 2, 4, 6, 10 and 3? (a) 6 (b) 5 (c) 4 (d) 3
  14. 14.The mean of 7 numbers is 17. When the number 25 is added to them, what is the new mean? (a) 17 (b) 21 (c) 19 (d) 18
  15. 15.What is the median of 25, 23, 27, 34, 36, 18 and 10? (a) 25 (b) 34 (c) 23 (d) 27
  16. 16.The mean of 7 numbers is 34. When the number 10 is added to them, what is the new mean? (a) 22 (b) 31 (c) 32 (d) 34
  17. 17.What is the median of 35, 39, 10, 29, 28, 16 and 17? (a) 27 (b) 29 (c) 17 (d) 28
  18. 18.The mean of 9 numbers is 36. When the number 56 is added to them, what is the new mean? (a) 46 (b) 36 (c) 38 (d) 39
  19. 19.What is the mode of 2, 1, 1, 2, 17, 8 and 2? (a) 2 (b) 17 (c) 1 (d) 8
  20. 20.What is the mode of 17, 12, 3, 5, 3, 12 and 12? (a) 5 (b) 17 (c) 3 (d) 12
  21. 21.What is the mean of 14, 10, 20, 8, 11 and 15? (a) 12 (b) 15 (c) 13 (d) 14
  22. 22.The mean of 6 numbers is 32. When the number 18 is added to them, what is the new mean? (a) 31 (b) 30 (c) 32 (d) 25
  23. 23.What is the mode of 17, 15, 7, 7, 15, 7 and 9? (a) 15 (b) 7 (c) 17 (d) 9
  24. 24.What is the mode of 6, 17, 7, 7, 17, 13 and 7? (a) 7 (b) 13 (c) 17 (d) 6
  25. 25.What is the mode of 14, 14, 4, 18, 13, 14 and 4? (a) 18 (b) 13 (c) 14 (d) 4
  26. 26.What is the median of 40, 18, 24, 6 and 23? (a) 24 (b) 22 (c) 18 (d) 23
  27. 27.What is the mean of 6, 14, 17 and 3? (a) 8 (b) 9 (c) 10 (d) 11
  28. 28.The mean of 6 numbers is 10. When the number 3 is added to them, what is the new mean? (a) 9 (b) 8 (c) 10 (d) 11
  29. 29.What is the median of 22, 38, 29, 8 and 23? (a) 24 (b) 29 (c) 22 (d) 23
  30. 30.What is the median of 7, 11, 20, 1, 4, 32 and 3? (a) 4 (b) 11 (c) 7 (d) 1
  31. 31.What is the mode of 3, 10, 11, 10, 7, 3 and 3? (a) 11 (b) 10 (c) 7 (d) 3
  32. 32.What is the mode of 19, 20, 12, 20, 19, 9 and 20? (a) 12 (b) 20 (c) 9 (d) 19
  33. 33.What is the mean of 18, 9, 9, 16 and 8? (a) 15 (b) 10 (c) 13 (d) 12
  34. 34.What is the median of 29, 24, 10, 8, 21, 1 and 15? (a) 15 (b) 8 (c) 10 (d) 21
  35. 35.What is the median of 17, 3, 7, 16, 40, 23 and 37? (a) 16 (b) 23 (c) 17 (d) 18
  36. 36.The mean of 5 numbers is 28. When the number 4 is added to them, what is the new mean? (a) 24 (b) 28 (c) 16 (d) 25
  37. 37.What is the median of 13, 30, 21, 33, 12, 4 and 20? (a) 19 (b) 21 (c) 33 (d) 20
  38. 38.What is the mean of 19, 8, 20 and 13? (a) 20 (b) 12 (c) 16 (d) 15
  39. 39.What is the median of 40, 25, 9, 24 and 36? (a) 9 (b) 36 (c) 24 (d) 25
  40. 40.What is the median of 31, 20, 7, 11 and 39? (a) 20 (b) 11 (c) 31 (d) 7

Answer key

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

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