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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 780 · 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 39, 19, 14, 8 and 1? (a) 15 (b) 19 (c) 8 (d) 14
  2. 2.What is the mean of 11, 20, 11 and 10? (a) 15 (b) 14 (c) 13 (d) 12
  3. 3.What is the mean of 13, 19, 18, 20 and 10? (a) 20 (b) 17 (c) 15 (d) 16
  4. 4.What is the median of 11, 15, 30, 40, 27, 9 and 7? (a) 11 (b) 40 (c) 15 (d) 27
  5. 5.The mean of 4 numbers is 36. When the number 46 is added to them, what is the new mean? (a) 41 (b) 36 (c) 39 (d) 38
  6. 6.What is the mode of 7, 7, 15, 10, 7, 14 and 15? (a) 14 (b) 7 (c) 15 (d) 10
  7. 7.What is the mode of 2, 3, 13, 13, 17, 13 and 3? (a) 2 (b) 13 (c) 17 (d) 3
  8. 8.The mean of 4 numbers is 21. When the number 26 is added to them, what is the new mean? (a) 23 (b) 21 (c) 22 (d) 24
  9. 9.The mean of 6 numbers is 15. When the number 43 is added to them, what is the new mean? (a) 29 (b) 15 (c) 20 (d) 19
  10. 10.What is the median of 37, 26, 2, 5, 25, 32 and 16? (a) 25 (b) 26 (c) 5 (d) 16
  11. 11.What is the mode of 14, 14, 4, 1, 11, 4 and 4? (a) 11 (b) 1 (c) 4 (d) 14
  12. 12.What is the mean of 2, 8, 6, 15 and 9? (a) 9 (b) 10 (c) 7 (d) 8
  13. 13.What is the mean of 14, 6, 9 and 3? (a) 7 (b) 9 (c) 10 (d) 8
  14. 14.What is the median of 25, 32, 27, 17 and 21? (a) 27 (b) 21 (c) 25 (d) 26
  15. 15.What is the mean of 3, 5, 15, 6, 17 and 8? (a) 10 (b) 8 (c) 11 (d) 9
  16. 16.What is the mode of 3, 2, 1, 2, 3, 3 and 17? (a) 3 (b) 2 (c) 17 (d) 1
  17. 17.The mean of 7 numbers is 24. When the number 16 is added to them, what is the new mean? (a) 24 (b) 22 (c) 23 (d) 20
  18. 18.What is the mean of 15, 15, 7, 18 and 5? (a) 10 (b) 13 (c) 15 (d) 12
  19. 19.What is the mean of 16, 4, 18, 20, 13 and 13? (a) 15 (b) 13 (c) 14 (d) 12
  20. 20.What is the median of 21, 2, 25, 40, 18, 31 and 37? (a) 25 (b) 31 (c) 40 (d) 21
  21. 21.What is the median of 2, 26, 36, 35 and 17? (a) 36 (b) 17 (c) 35 (d) 26
  22. 22.The mean of 5 numbers is 30. When the number 18 is added to them, what is the new mean? (a) 29 (b) 30 (c) 28 (d) 24
  23. 23.The mean of 9 numbers is 16. When the number 6 is added to them, what is the new mean? (a) 11 (b) 16 (c) 15 (d) 14
  24. 24.The mean of 6 numbers is 10. When the number 17 is added to them, what is the new mean? (a) 13 (b) 10 (c) 12 (d) 11
  25. 25.What is the median of 17, 27, 19, 4 and 10? (a) 10 (b) 18 (c) 17 (d) 19
  26. 26.What is the mode of 19, 11, 19, 20, 11, 12 and 19? (a) 12 (b) 20 (c) 11 (d) 19
  27. 27.What is the mean of 12, 2, 11 and 19? (a) 12 (b) 10 (c) 13 (d) 11
  28. 28.What is the mean of 3, 8, 11, 3, 6 and 11? (a) 9 (b) 7 (c) 6 (d) 8
  29. 29.The mean of 4 numbers is 11. When the number 1 is added to them, what is the new mean? (a) 10 (b) 6 (c) 9 (d) 11
  30. 30.The mean of 3 numbers is 12. When the number 20 is added to them, what is the new mean? (a) 14 (b) 12 (c) 16 (d) 15
  31. 31.What is the mean of 19, 14, 18, 20, 3 and 16? (a) 14 (b) 16 (c) 18 (d) 15
  32. 32.The mean of 4 numbers is 23. When the number 18 is added to them, what is the new mean? (a) 21 (b) 22 (c) 23 (d) 24
  33. 33.What is the median of 26, 34, 24, 30, 31, 33 and 5? (a) 31 (b) 26 (c) 29 (d) 30
  34. 34.What is the mean of 10, 18, 12, 13, 2 and 5? (a) 9 (b) 12 (c) 11 (d) 10
  35. 35.What is the median of 8, 7, 20, 5, 34, 22 and 17? (a) 5 (b) 8 (c) 20 (d) 17
  36. 36.What is the mean of 12, 10, 20, 13, 16 and 13? (a) 12 (b) 15 (c) 13 (d) 14
  37. 37.What is the median of 1, 18, 10, 11 and 23? (a) 12 (b) 10 (c) 18 (d) 11
  38. 38.What is the mean of 12, 11, 3, 5 and 9? (a) 10 (b) 9 (c) 7 (d) 8
  39. 39.What is the median of 14, 12, 5, 11 and 38? (a) 14 (b) 12 (c) 5 (d) 16
  40. 40.What is the median of 30, 9, 27, 3, 13, 37 and 10? (a) 3 (b) 13 (c) 27 (d) 10

Answer key

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

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