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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 754 · 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 9, 5, 13, 7 and 21? (a) 12 (b) 11 (c) 10 (d) 13
  2. 2.What is the mode of 12, 20, 12, 16, 12, 20 and 4? (a) 4 (b) 20 (c) 16 (d) 12
  3. 3.What is the mode of 1, 15, 17, 3, 17, 15 and 17? (a) 1 (b) 15 (c) 3 (d) 17
  4. 4.What is the mode of 1, 6, 6, 6, 4, 13 and 13? (a) 6 (b) 4 (c) 13 (d) 1
  5. 5.What is the mode of 13, 10, 3, 1, 13, 1 and 13? (a) 3 (b) 13 (c) 10 (d) 1
  6. 6.What is the mean of 8, 9, 5, 9, 6 and 5? (a) 6 (b) 8 (c) 7 (d) 9
  7. 7.What is the mean of 19, 17, 16, 14, 14 and 16? (a) 18 (b) 16 (c) 15 (d) 17
  8. 8.The mean of 8 numbers is 28. When the number 55 is added to them, what is the new mean? (a) 30 (b) 28 (c) 31 (d) 32
  9. 9.The mean of 9 numbers is 38. When the number 28 is added to them, what is the new mean? (a) 38 (b) 36 (c) 33 (d) 37
  10. 10.The mean of 9 numbers is 12. When the number 52 is added to them, what is the new mean? (a) 12 (b) 17 (c) 32 (d) 16
  11. 11.What is the median of 18, 26, 13, 15, 8, 19 and 20? (a) 18 (b) 19 (c) 15 (d) 17
  12. 12.What is the mean of 4, 4, 6, 10 and 16? (a) 10 (b) 8 (c) 9 (d) 7
  13. 13.What is the median of 31, 9, 8, 28 and 1? (a) 28 (b) 8 (c) 10 (d) 9
  14. 14.What is the median of 18, 14, 9, 36, 29, 28 and 7? (a) 14 (b) 18 (c) 28 (d) 36
  15. 15.What is the mode of 16, 1, 19, 4, 4, 19 and 4? (a) 4 (b) 16 (c) 19 (d) 1
  16. 16.What is the mode of 12, 12, 11, 19, 12, 8 and 19? (a) 8 (b) 11 (c) 19 (d) 12
  17. 17.What is the median of 7, 22, 27, 10 and 5? (a) 7 (b) 10 (c) 27 (d) 22
  18. 18.The mean of 8 numbers is 28. When the number 37 is added to them, what is the new mean? (a) 31 (b) 28 (c) 29 (d) 30
  19. 19.What is the mode of 6, 6, 2, 1, 6, 2 and 15? (a) 6 (b) 1 (c) 2 (d) 15
  20. 20.What is the median of 12, 16, 13, 40, 20, 9 and 29? (a) 16 (b) 20 (c) 40 (d) 13
  21. 21.What is the mean of 2, 14, 3, 3 and 13? (a) 8 (b) 6 (c) 9 (d) 7
  22. 22.The mean of 9 numbers is 19. When the number 9 is added to them, what is the new mean? (a) 17 (b) 19 (c) 18 (d) 14
  23. 23.What is the median of 14, 29, 31, 40 and 37? (a) 32 (b) 31 (c) 37 (d) 29
  24. 24.What is the mean of 16, 12, 2, 13 and 22? (a) 14 (b) 15 (c) 13 (d) 12
  25. 25.What is the mean of 16, 14, 16, 3, 17 and 6? (a) 11 (b) 12 (c) 13 (d) 14
  26. 26.What is the mean of 9, 6, 2, 4 and 19? (a) 7 (b) 9 (c) 8 (d) 10
  27. 27.What is the mean of 14, 20, 15, 7, 14 and 8? (a) 14 (b) 12 (c) 15 (d) 13
  28. 28.What is the mean of 13, 18, 12, 17, 4 and 8? (a) 11 (b) 14 (c) 12 (d) 13
  29. 29.What is the mode of 9, 16, 2, 5, 2, 9 and 2? (a) 16 (b) 5 (c) 9 (d) 2
  30. 30.What is the mean of 18, 12, 10 and 16? (a) 16 (b) 14 (c) 15 (d) 13
  31. 31.What is the mode of 13, 10, 7, 9, 10, 10 and 9? (a) 10 (b) 7 (c) 9 (d) 13
  32. 32.The mean of 4 numbers is 14. When the number 34 is added to them, what is the new mean? (a) 19 (b) 14 (c) 18 (d) 24
  33. 33.What is the mean of 5, 10, 18 and 19? (a) 14 (b) 15 (c) 13 (d) 12
  34. 34.What is the mode of 9, 19, 4, 7, 7, 7 and 4? (a) 7 (b) 4 (c) 19 (d) 9
  35. 35.What is the mean of 5, 15, 10, 18 and 7? (a) 10 (b) 11 (c) 12 (d) 13
  36. 36.What is the mean of 3, 20, 19, 8, 7 and 15? (a) 12 (b) 14 (c) 13 (d) 11
  37. 37.What is the mean of 2, 9, 19 and 6? (a) 8 (b) 12 (c) 10 (d) 9
  38. 38.What is the median of 40, 21, 33, 37, 5, 3 and 14? (a) 37 (b) 33 (c) 21 (d) 14
  39. 39.The mean of 3 numbers is 32. When the number 48 is added to them, what is the new mean? (a) 40 (b) 36 (c) 37 (d) 32
  40. 40.What is the mean of 4, 16, 19, 9, 19 and 11? (a) 14 (b) 12 (c) 15 (d) 13

Answer key

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

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