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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 171 · 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 10, 20, 2, 16, 5 and 13? (a) 10 (b) 13 (c) 12 (d) 11
  2. 2.The mean of 5 numbers is 36. When the number 48 is added to them, what is the new mean? (a) 36 (b) 38 (c) 42 (d) 39
  3. 3.What is the mode of 20, 12, 18, 18, 16, 12 and 18? (a) 20 (b) 12 (c) 18 (d) 16
  4. 4.What is the mean of 19, 2, 4, 19 and 16? (a) 12 (b) 15 (c) 10 (d) 13
  5. 5.What is the mode of 15, 5, 15, 13, 5, 12 and 15? (a) 13 (b) 15 (c) 12 (d) 5
  6. 6.What is the mode of 18, 17, 20, 18, 18, 9 and 20? (a) 9 (b) 18 (c) 17 (d) 20
  7. 7.The mean of 5 numbers is 22. When the number 40 is added to them, what is the new mean? (a) 26 (b) 25 (c) 22 (d) 31
  8. 8.What is the mode of 7, 4, 12, 12, 7, 10 and 12? (a) 4 (b) 7 (c) 10 (d) 12
  9. 9.What is the mode of 13, 14, 13, 18, 18, 6 and 18? (a) 13 (b) 14 (c) 18 (d) 6
  10. 10.What is the mean of 8, 2, 19 and 7? (a) 8 (b) 9 (c) 12 (d) 10
  11. 11.What is the median of 10, 12, 14, 7 and 34? (a) 10 (b) 12 (c) 14 (d) 13
  12. 12.What is the median of 12, 39, 18, 21, 1, 24 and 38? (a) 18 (b) 21 (c) 22 (d) 24
  13. 13.What is the mean of 3, 10, 13, 10, 10 and 14? (a) 9 (b) 11 (c) 12 (d) 10
  14. 14.What is the median of 32, 12, 9, 34, 17, 6 and 37? (a) 17 (b) 32 (c) 21 (d) 34
  15. 15.What is the mode of 4, 2, 4, 12, 19, 12 and 4? (a) 12 (b) 19 (c) 2 (d) 4
  16. 16.What is the mean of 15, 18, 7, 18, 6 and 14? (a) 13 (b) 14 (c) 15 (d) 12
  17. 17.The mean of 4 numbers is 34. When the number 39 is added to them, what is the new mean? (a) 37 (b) 35 (c) 36 (d) 34
  18. 18.What is the median of 35, 27, 6, 29 and 4? (a) 6 (b) 28 (c) 29 (d) 27
  19. 19.What is the mode of 2, 5, 8, 8, 9, 5 and 5? (a) 8 (b) 5 (c) 2 (d) 9
  20. 20.The mean of 5 numbers is 19. When the number 7 is added to them, what is the new mean? (a) 19 (b) 17 (c) 18 (d) 13
  21. 21.What is the median of 11, 19, 9, 21 and 6? (a) 12 (b) 19 (c) 11 (d) 9
  22. 22.What is the median of 26, 20, 34, 40 and 7? (a) 34 (b) 27 (c) 26 (d) 20
  23. 23.What is the median of 1, 22, 13, 7 and 19? (a) 19 (b) 7 (c) 14 (d) 13
  24. 24.What is the mode of 17, 9, 3, 3, 3, 9 and 12? (a) 9 (b) 17 (c) 3 (d) 12
  25. 25.What is the mode of 6, 15, 14, 15, 1, 6 and 15? (a) 1 (b) 14 (c) 15 (d) 6
  26. 26.The mean of 5 numbers is 28. When the number 40 is added to them, what is the new mean? (a) 34 (b) 28 (c) 30 (d) 31
  27. 27.The mean of 5 numbers is 30. When the number 18 is added to them, what is the new mean? (a) 30 (b) 28 (c) 29 (d) 24
  28. 28.What is the mode of 20, 1, 20, 20, 18, 16 and 1? (a) 20 (b) 16 (c) 1 (d) 18
  29. 29.What is the mean of 4, 8, 6, 20, 4 and 18? (a) 9 (b) 10 (c) 11 (d) 12
  30. 30.The mean of 8 numbers is 20. When the number 2 is added to them, what is the new mean? (a) 18 (b) 20 (c) 11 (d) 19
  31. 31.What is the mode of 16, 6, 16, 12, 6, 2 and 6? (a) 16 (b) 12 (c) 2 (d) 6
  32. 32.What is the mode of 5, 14, 1, 5, 13, 5 and 13? (a) 1 (b) 13 (c) 5 (d) 14
  33. 33.What is the median of 4, 33, 6, 5, 1, 18 and 31? (a) 6 (b) 14 (c) 5 (d) 18
  34. 34.What is the mean of 3, 2, 2, 14, 9 and 6? (a) 6 (b) 8 (c) 7 (d) 5
  35. 35.What is the median of 22, 12, 8, 4, 37, 6 and 36? (a) 12 (b) 4 (c) 22 (d) 8
  36. 36.What is the mean of 4, 9, 12, 15, 3 and 11? (a) 9 (b) 10 (c) 11 (d) 8
  37. 37.What is the median of 39, 35, 38, 30 and 12? (a) 38 (b) 36 (c) 30 (d) 35
  38. 38.The mean of 9 numbers is 28. When the number 48 is added to them, what is the new mean? (a) 38 (b) 30 (c) 31 (d) 28
  39. 39.The mean of 5 numbers is 32. When the number 56 is added to them, what is the new mean? (a) 44 (b) 36 (c) 32 (d) 37
  40. 40.What is the median of 37, 2, 10, 6, 31, 27 and 3? (a) 27 (b) 10 (c) 6 (d) 11

Answer key

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

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