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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 571 · 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 3, 13, 7, 2 and 5? (a) 5 (b) 6 (c) 7 (d) 8
  2. 2.The mean of 5 numbers is 25. When the number 43 is added to them, what is the new mean? (a) 34 (b) 29 (c) 28 (d) 25
  3. 3.What is the mode of 2, 2, 1, 16, 3, 2 and 1? (a) 1 (b) 2 (c) 16 (d) 3
  4. 4.What is the median of 14, 32, 40, 17 and 12? (a) 40 (b) 23 (c) 17 (d) 32
  5. 5.What is the mode of 10, 13, 9, 10, 15, 9 and 9? (a) 13 (b) 15 (c) 10 (d) 9
  6. 6.What is the median of 15, 33, 31, 17, 21, 19 and 6? (a) 21 (b) 17 (c) 20 (d) 19
  7. 7.What is the median of 14, 32, 4, 36 and 24? (a) 24 (b) 4 (c) 22 (d) 32
  8. 8.What is the median of 21, 5, 27, 12, 13, 10 and 3? (a) 10 (b) 13 (c) 11 (d) 12
  9. 9.What is the median of 38, 16, 27, 34 and 14? (a) 34 (b) 27 (c) 16 (d) 28
  10. 10.The mean of 7 numbers is 21. When the number 45 is added to them, what is the new mean? (a) 24 (b) 33 (c) 21 (d) 25
  11. 11.What is the mean of 2, 2, 13 and 3? (a) 4 (b) 6 (c) 7 (d) 5
  12. 12.The mean of 3 numbers is 27. When the number 15 is added to them, what is the new mean? (a) 21 (b) 24 (c) 25 (d) 27
  13. 13.The mean of 9 numbers is 17. When the number 57 is added to them, what is the new mean? (a) 37 (b) 22 (c) 17 (d) 21
  14. 14.What is the mean of 9, 12, 6, 16 and 22? (a) 13 (b) 15 (c) 12 (d) 14
  15. 15.The mean of 4 numbers is 30. When the number 20 is added to them, what is the new mean? (a) 28 (b) 30 (c) 29 (d) 25
  16. 16.What is the median of 13, 39, 23, 40 and 37? (a) 39 (b) 38 (c) 23 (d) 37
  17. 17.What is the mean of 17, 14, 18, 2, 18 and 9? (a) 14 (b) 15 (c) 12 (d) 13
  18. 18.What is the mean of 3, 6, 3, 10 and 13? (a) 9 (b) 7 (c) 6 (d) 8
  19. 19.What is the mean of 14, 19, 4, 5, 14 and 10? (a) 11 (b) 12 (c) 13 (d) 10
  20. 20.What is the median of 11, 12, 28, 19 and 32? (a) 28 (b) 20 (c) 19 (d) 12
  21. 21.The mean of 4 numbers is 14. When the number 4 is added to them, what is the new mean? (a) 12 (b) 14 (c) 13 (d) 9
  22. 22.What is the mean of 3, 18, 5, 5, 9 and 14? (a) 9 (b) 8 (c) 11 (d) 10
  23. 23.The mean of 8 numbers is 32. When the number 23 is added to them, what is the new mean? (a) 32 (b) 33 (c) 30 (d) 31
  24. 24.What is the mode of 6, 6, 10, 18, 6, 17 and 18? (a) 10 (b) 18 (c) 6 (d) 17
  25. 25.What is the mean of 14, 5, 5, 10, 5 and 15? (a) 9 (b) 8 (c) 11 (d) 10
  26. 26.What is the median of 35, 5, 6, 40, 32, 34 and 15? (a) 32 (b) 40 (c) 34 (d) 15
  27. 27.What is the mean of 8, 6, 18, 2 and 21? (a) 13 (b) 11 (c) 10 (d) 12
  28. 28.What is the mean of 12, 2, 9, 11, 3 and 5? (a) 6 (b) 7 (c) 9 (d) 8
  29. 29.What is the median of 15, 12, 3, 2, 10, 36 and 1? (a) 3 (b) 12 (c) 2 (d) 10
  30. 30.What is the mean of 2, 13, 7 and 14? (a) 10 (b) 9 (c) 8 (d) 12
  31. 31.What is the mean of 7, 7, 7, 11 and 13? (a) 11 (b) 10 (c) 8 (d) 9
  32. 32.What is the median of 5, 39, 18, 32 and 27? (a) 32 (b) 18 (c) 27 (d) 28
  33. 33.What is the mode of 2, 4, 9, 2, 15, 2 and 9? (a) 9 (b) 2 (c) 4 (d) 15
  34. 34.What is the mean of 8, 16, 7, 5 and 19? (a) 13 (b) 11 (c) 12 (d) 10
  35. 35.What is the mean of 2, 3, 6 and 9? (a) 7 (b) 5 (c) 6 (d) 4
  36. 36.What is the median of 10, 8, 34, 12 and 5? (a) 12 (b) 8 (c) 34 (d) 10
  37. 37.What is the mean of 11, 19, 19, 9 and 7? (a) 12 (b) 15 (c) 14 (d) 13
  38. 38.What is the median of 21, 34, 25, 28 and 3? (a) 25 (b) 21 (c) 28 (d) 26
  39. 39.What is the mean of 12, 18, 20, 4, 8 and 4? (a) 10 (b) 12 (c) 13 (d) 11
  40. 40.The mean of 4 numbers is 17. When the number 2 is added to them, what is the new mean? (a) 13 (b) 17 (c) 14 (d) 15

Answer key

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

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