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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 888 · 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 20, 9, 5, 6, 6 and 8? (a) 10 (b) 8 (c) 9 (d) 11
  2. 2.What is the mode of 6, 14, 13, 11, 6, 6 and 14? (a) 13 (b) 6 (c) 14 (d) 11
  3. 3.What is the median of 9, 31, 26, 30, 22, 28 and 8? (a) 26 (b) 30 (c) 22 (d) 28
  4. 4.What is the mean of 2, 3, 9 and 6? (a) 6 (b) 4 (c) 7 (d) 5
  5. 5.The mean of 3 numbers is 31. When the number 27 is added to them, what is the new mean? (a) 29 (b) 31 (c) 30 (d) 32
  6. 6.What is the mode of 1, 6, 1, 20, 1, 6 and 14? (a) 1 (b) 20 (c) 6 (d) 14
  7. 7.What is the mean of 18, 15, 17, 13 and 7? (a) 15 (b) 16 (c) 14 (d) 13
  8. 8.What is the mode of 19, 13, 9, 1, 19, 13 and 19? (a) 9 (b) 13 (c) 19 (d) 1
  9. 9.What is the median of 14, 15, 5, 10, 36, 30 and 9? (a) 15 (b) 17 (c) 14 (d) 10
  10. 10.What is the mode of 6, 1, 5, 1, 6, 9 and 1? (a) 5 (b) 1 (c) 9 (d) 6
  11. 11.The mean of 5 numbers is 12. When the number 24 is added to them, what is the new mean? (a) 15 (b) 18 (c) 12 (d) 14
  12. 12.What is the mode of 11, 1, 11, 7, 2, 1 and 11? (a) 2 (b) 7 (c) 11 (d) 1
  13. 13.What is the mean of 19, 18, 16 and 15? (a) 16 (b) 19 (c) 18 (d) 17
  14. 14.The mean of 3 numbers is 21. When the number 29 is added to them, what is the new mean? (a) 25 (b) 24 (c) 23 (d) 21
  15. 15.What is the mode of 10, 14, 12, 10, 17, 10 and 17? (a) 10 (b) 12 (c) 17 (d) 14
  16. 16.What is the mode of 3, 3, 19, 19, 2, 19 and 8? (a) 2 (b) 8 (c) 19 (d) 3
  17. 17.The mean of 4 numbers is 26. When the number 31 is added to them, what is the new mean? (a) 28 (b) 27 (c) 26 (d) 29
  18. 18.What is the mean of 19, 3, 15, 4, 6 and 19? (a) 12 (b) 13 (c) 10 (d) 11
  19. 19.What is the mean of 5, 17, 19 and 11? (a) 15 (b) 12 (c) 13 (d) 14
  20. 20.What is the mean of 5, 8, 17 and 22? (a) 12 (b) 15 (c) 14 (d) 13
  21. 21.What is the mean of 3, 7, 14 and 4? (a) 7 (b) 6 (c) 9 (d) 8
  22. 22.The mean of 4 numbers is 31. When the number 46 is added to them, what is the new mean? (a) 33 (b) 31 (c) 34 (d) 35
  23. 23.What is the median of 13, 25, 28, 1, 14, 10 and 4? (a) 13 (b) 14 (c) 1 (d) 10
  24. 24.The mean of 7 numbers is 36. When the number 28 is added to them, what is the new mean? (a) 32 (b) 36 (c) 34 (d) 35
  25. 25.The mean of 5 numbers is 31. When the number 7 is added to them, what is the new mean? (a) 31 (b) 27 (c) 28 (d) 19
  26. 26.What is the median of 40, 20, 32, 12, 34, 35 and 31? (a) 34 (b) 12 (c) 31 (d) 32
  27. 27.What is the mode of 7, 4, 4, 16, 19, 4 and 16? (a) 4 (b) 19 (c) 7 (d) 16
  28. 28.What is the median of 22, 21, 34, 3 and 14? (a) 14 (b) 22 (c) 34 (d) 21
  29. 29.What is the mode of 20, 14, 8, 3, 20, 14 and 14? (a) 14 (b) 8 (c) 3 (d) 20
  30. 30.What is the mean of 4, 14, 20, 2 and 5? (a) 8 (b) 10 (c) 9 (d) 11
  31. 31.The mean of 7 numbers is 32. When the number 56 is added to them, what is the new mean? (a) 36 (b) 32 (c) 44 (d) 35
  32. 32.What is the mode of 1, 1, 14, 14, 20, 11 and 1? (a) 1 (b) 14 (c) 20 (d) 11
  33. 33.The mean of 6 numbers is 25. When the number 46 is added to them, what is the new mean? (a) 27 (b) 29 (c) 25 (d) 28
  34. 34.What is the mean of 12, 3, 3 and 6? (a) 6 (b) 7 (c) 5 (d) 8
  35. 35.What is the median of 7, 13, 37, 22 and 35? (a) 22 (b) 37 (c) 35 (d) 13
  36. 36.What is the mode of 3, 3, 5, 6, 3, 2 and 6? (a) 2 (b) 3 (c) 6 (d) 5
  37. 37.The mean of 3 numbers is 30. When the number 34 is added to them, what is the new mean? (a) 30 (b) 32 (c) 33 (d) 31
  38. 38.What is the mean of 8, 7, 5 and 8? (a) 9 (b) 6 (c) 7 (d) 8
  39. 39.The mean of 4 numbers is 23. When the number 18 is added to them, what is the new mean? (a) 24 (b) 23 (c) 22 (d) 21
  40. 40.What is the median of 11, 20, 8, 28, 26, 29 and 21? (a) 26 (b) 20 (c) 21 (d) 28

Answer key

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

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