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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 316 · 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 mode of 5, 6, 17, 16, 5, 6 and 6? (a) 17 (b) 5 (c) 16 (d) 6
  2. 2.What is the mean of 2, 14, 16, 2 and 6? (a) 7 (b) 9 (c) 8 (d) 10
  3. 3.What is the mean of 2, 13, 5, 20 and 15? (a) 13 (b) 10 (c) 12 (d) 11
  4. 4.What is the mean of 4, 9, 7 and 4? (a) 5 (b) 7 (c) 8 (d) 6
  5. 5.The mean of 7 numbers is 26. When the number 42 is added to them, what is the new mean? (a) 29 (b) 28 (c) 26 (d) 34
  6. 6.What is the mode of 5, 15, 15, 5, 15, 3 and 7? (a) 5 (b) 15 (c) 7 (d) 3
  7. 7.What is the median of 39, 1, 25, 31, 35, 38 and 11? (a) 35 (b) 25 (c) 32 (d) 31
  8. 8.What is the median of 16, 10, 5, 4, 37, 32 and 9? (a) 9 (b) 4 (c) 10 (d) 16
  9. 9.What is the mode of 1, 11, 1, 19, 19, 13 and 1? (a) 11 (b) 19 (c) 13 (d) 1
  10. 10.What is the mode of 19, 2, 1, 2, 4, 2 and 4? (a) 1 (b) 4 (c) 19 (d) 2
  11. 11.What is the mean of 18, 7, 16, 6 and 3? (a) 9 (b) 12 (c) 11 (d) 10
  12. 12.What is the mode of 4, 20, 3, 4, 4, 19 and 19? (a) 19 (b) 4 (c) 20 (d) 3
  13. 13.The mean of 9 numbers is 11. When the number 51 is added to them, what is the new mean? (a) 16 (b) 15 (c) 31 (d) 11
  14. 14.The mean of 3 numbers is 31. When the number 39 is added to them, what is the new mean? (a) 34 (b) 35 (c) 31 (d) 33
  15. 15.What is the mode of 12, 14, 12, 2, 12, 14 and 17? (a) 2 (b) 12 (c) 14 (d) 17
  16. 16.The mean of 4 numbers is 23. When the number 3 is added to them, what is the new mean? (a) 20 (b) 13 (c) 19 (d) 23
  17. 17.What is the mean of 14, 9, 13 and 20? (a) 13 (b) 16 (c) 15 (d) 14
  18. 18.What is the median of 22, 39, 23, 5 and 6? (a) 19 (b) 6 (c) 22 (d) 23
  19. 19.What is the mode of 8, 2, 8, 2, 8, 4 and 6? (a) 2 (b) 6 (c) 4 (d) 8
  20. 20.What is the mode of 2, 8, 2, 8, 14, 8 and 6? (a) 14 (b) 2 (c) 8 (d) 6
  21. 21.What is the mean of 12, 19, 13, 19, 4 and 5? (a) 13 (b) 11 (c) 12 (d) 14
  22. 22.What is the mean of 10, 14, 4, 13, 12 and 19? (a) 11 (b) 13 (c) 14 (d) 12
  23. 23.What is the median of 36, 34, 32, 33 and 6? (a) 35 (b) 32 (c) 33 (d) 34
  24. 24.What is the mean of 7, 2, 6, 3 and 22? (a) 8 (b) 10 (c) 9 (d) 7
  25. 25.What is the mean of 11, 5, 5, 7, 20 and 12? (a) 12 (b) 10 (c) 11 (d) 9
  26. 26.What is the mode of 12, 12, 9, 15, 9, 20 and 9? (a) 12 (b) 15 (c) 9 (d) 20
  27. 27.What is the mean of 13, 7, 10, 4, 13 and 19? (a) 10 (b) 13 (c) 12 (d) 11
  28. 28.What is the mode of 4, 11, 7, 7, 7, 14 and 14? (a) 14 (b) 11 (c) 4 (d) 7
  29. 29.What is the mean of 16, 11, 13 and 4? (a) 12 (b) 10 (c) 11 (d) 13
  30. 30.The mean of 6 numbers is 27. When the number 41 is added to them, what is the new mean? (a) 27 (b) 30 (c) 29 (d) 34
  31. 31.What is the mode of 14, 14, 7, 9, 9, 8 and 9? (a) 8 (b) 9 (c) 14 (d) 7
  32. 32.What is the mean of 13, 18, 7, 10, 2 and 16? (a) 10 (b) 13 (c) 12 (d) 11
  33. 33.What is the mode of 8, 13, 17, 14, 13, 13 and 17? (a) 8 (b) 17 (c) 13 (d) 14
  34. 34.The mean of 4 numbers is 32. When the number 47 is added to them, what is the new mean? (a) 32 (b) 36 (c) 35 (d) 34
  35. 35.What is the mean of 18, 4, 15 and 19? (a) 14 (b) 13 (c) 15 (d) 16
  36. 36.What is the mode of 18, 18, 9, 8, 3, 8 and 8? (a) 3 (b) 9 (c) 18 (d) 8
  37. 37.What is the mode of 10, 13, 11, 6, 13, 11 and 11? (a) 6 (b) 10 (c) 11 (d) 13
  38. 38.What is the median of 6, 17, 2, 22, 11, 3 and 1? (a) 6 (b) 11 (c) 22 (d) 3
  39. 39.What is the median of 1, 18, 7, 12 and 3? (a) 7 (b) 3 (c) 12 (d) 8
  40. 40.What is the median of 15, 17, 32, 8 and 25? (a) 25 (b) 32 (c) 15 (d) 17

Answer key

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

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