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Mean Median Mode Worksheet for Maths Olympiad

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

Answer key

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

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