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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 246 · 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 3, 15, 3, 17, 5, 15 and 15? (a) 3 (b) 17 (c) 15 (d) 5
  2. 2.What is the mean of 12, 16, 5, 16, 3 and 14? (a) 13 (b) 10 (c) 11 (d) 12
  3. 3.What is the mean of 10, 10, 14, 15 and 11? (a) 10 (b) 13 (c) 12 (d) 15
  4. 4.What is the mean of 6, 16, 3, 7, 13 and 9? (a) 8 (b) 10 (c) 11 (d) 9
  5. 5.What is the mode of 18, 18, 14, 1, 16, 14 and 18? (a) 16 (b) 18 (c) 14 (d) 1
  6. 6.What is the median of 10, 1, 18, 16, 13, 4 and 36? (a) 16 (b) 10 (c) 13 (d) 14
  7. 7.The mean of 3 numbers is 24. When the number 8 is added to them, what is the new mean? (a) 24 (b) 21 (c) 20 (d) 16
  8. 8.What is the median of 17, 8, 3, 39, 1, 36 and 16? (a) 8 (b) 17 (c) 16 (d) 39
  9. 9.What is the mean of 11, 5, 10, 16 and 18? (a) 10 (b) 13 (c) 15 (d) 12
  10. 10.What is the mode of 9, 1, 11, 11, 11, 13 and 1? (a) 13 (b) 9 (c) 11 (d) 1
  11. 11.What is the median of 30, 35, 4, 6, 23, 22 and 27? (a) 21 (b) 6 (c) 27 (d) 23
  12. 12.The mean of 4 numbers is 30. When the number 20 is added to them, what is the new mean? (a) 25 (b) 29 (c) 28 (d) 30
  13. 13.The mean of 3 numbers is 18. When the number 30 is added to them, what is the new mean? (a) 21 (b) 22 (c) 18 (d) 24
  14. 14.What is the mean of 5, 18, 20, 14 and 8? (a) 15 (b) 14 (c) 12 (d) 13
  15. 15.What is the median of 1, 24, 12, 11, 13, 18 and 34? (a) 11 (b) 18 (c) 12 (d) 13
  16. 16.What is the mode of 6, 6, 6, 18, 18, 1 and 15? (a) 15 (b) 1 (c) 18 (d) 6
  17. 17.What is the median of 25, 8, 6, 18, 3, 13 and 33? (a) 14 (b) 8 (c) 13 (d) 18
  18. 18.What is the mean of 14, 10, 13 and 11? (a) 11 (b) 12 (c) 13 (d) 16
  19. 19.What is the mode of 3, 20, 13, 6, 13, 13 and 3? (a) 6 (b) 20 (c) 3 (d) 13
  20. 20.The mean of 5 numbers is 25. When the number 37 is added to them, what is the new mean? (a) 31 (b) 25 (c) 27 (d) 28
  21. 21.What is the mode of 13, 13, 20, 18, 13, 18 and 16? (a) 13 (b) 16 (c) 18 (d) 20
  22. 22.What is the mean of 13, 12, 13 and 6? (a) 11 (b) 12 (c) 10 (d) 13
  23. 23.What is the mean of 20, 16, 16, 12, 13 and 7? (a) 13 (b) 14 (c) 15 (d) 12
  24. 24.What is the mode of 19, 18, 18, 18, 6, 16 and 6? (a) 19 (b) 18 (c) 16 (d) 6
  25. 25.What is the mean of 9, 7, 3 and 9? (a) 8 (b) 9 (c) 7 (d) 6
  26. 26.What is the mean of 16, 10, 16 and 10? (a) 12 (b) 15 (c) 13 (d) 14
  27. 27.The mean of 4 numbers is 16. When the number 26 is added to them, what is the new mean? (a) 21 (b) 16 (c) 19 (d) 18
  28. 28.What is the mode of 17, 14, 17, 1, 1, 11 and 17? (a) 14 (b) 11 (c) 1 (d) 17
  29. 29.What is the mode of 7, 9, 7, 16, 8, 7 and 16? (a) 9 (b) 16 (c) 7 (d) 8
  30. 30.The mean of 3 numbers is 27. When the number 19 is added to them, what is the new mean? (a) 27 (b) 23 (c) 25 (d) 26
  31. 31.The mean of 6 numbers is 37. When the number 16 is added to them, what is the new mean? (a) 33 (b) 35 (c) 34 (d) 37
  32. 32.What is the mean of 20, 11, 16, 19 and 14? (a) 17 (b) 16 (c) 15 (d) 20
  33. 33.What is the mode of 20, 1, 15, 1, 1, 14 and 14? (a) 14 (b) 15 (c) 20 (d) 1
  34. 34.The mean of 3 numbers is 29. When the number 41 is added to them, what is the new mean? (a) 33 (b) 35 (c) 32 (d) 29
  35. 35.What is the mean of 11, 2, 5 and 2? (a) 4 (b) 5 (c) 6 (d) 7
  36. 36.What is the median of 24, 5, 11, 31, 14, 4 and 33? (a) 11 (b) 14 (c) 24 (d) 31
  37. 37.The mean of 9 numbers is 37. When the number 67 is added to them, what is the new mean? (a) 40 (b) 37 (c) 41 (d) 52
  38. 38.The mean of 8 numbers is 11. When the number 47 is added to them, what is the new mean? (a) 29 (b) 16 (c) 15 (d) 11
  39. 39.What is the mode of 13, 18, 6, 18, 13, 20 and 18? (a) 18 (b) 13 (c) 20 (d) 6
  40. 40.What is the mode of 12, 12, 17, 11, 11, 11 and 6? (a) 12 (b) 6 (c) 11 (d) 17

Answer key

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

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