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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 136 · 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 9, 2, 15, 2, 9, 3 and 9? (a) 3 (b) 9 (c) 15 (d) 2
  2. 2.What is the mode of 6, 15, 8, 6, 2, 6 and 15? (a) 15 (b) 2 (c) 6 (d) 8
  3. 3.What is the mode of 6, 14, 4, 14, 18, 18 and 14? (a) 14 (b) 18 (c) 6 (d) 4
  4. 4.What is the median of 25, 14, 16, 40 and 39? (a) 26 (b) 39 (c) 25 (d) 16
  5. 5.What is the mean of 18, 3, 11, 3, 3 and 16? (a) 9 (b) 11 (c) 8 (d) 10
  6. 6.The mean of 9 numbers is 36. When the number 56 is added to them, what is the new mean? (a) 46 (b) 38 (c) 39 (d) 36
  7. 7.What is the mode of 19, 12, 20, 20, 12, 20 and 6? (a) 12 (b) 6 (c) 19 (d) 20
  8. 8.The mean of 4 numbers is 15. When the number 10 is added to them, what is the new mean? (a) 14 (b) 13 (c) 15 (d) 16
  9. 9.What is the mode of 14, 9, 3, 9, 13, 13 and 13? (a) 9 (b) 13 (c) 3 (d) 14
  10. 10.What is the mean of 11, 7, 6 and 20? (a) 10 (b) 13 (c) 11 (d) 12
  11. 11.What is the median of 26, 10, 34, 24 and 17? (a) 24 (b) 34 (c) 26 (d) 17
  12. 12.What is the mean of 16, 8, 7 and 21? (a) 12 (b) 15 (c) 13 (d) 14
  13. 13.What is the mean of 7, 14, 17, 15 and 22? (a) 16 (b) 14 (c) 17 (d) 15
  14. 14.What is the mean of 11, 3, 12 and 22? (a) 16 (b) 11 (c) 12 (d) 13
  15. 15.What is the mean of 5, 18, 12, 17, 16 and 22? (a) 18 (b) 15 (c) 16 (d) 14
  16. 16.What is the mean of 3, 8, 6, 6, 16 and 3? (a) 7 (b) 6 (c) 8 (d) 9
  17. 17.What is the mean of 7, 12, 5 and 12? (a) 9 (b) 12 (c) 10 (d) 8
  18. 18.What is the mode of 4, 14, 14, 4, 12, 19 and 4? (a) 12 (b) 14 (c) 4 (d) 19
  19. 19.What is the mean of 7, 4, 16 and 5? (a) 9 (b) 8 (c) 7 (d) 10
  20. 20.What is the mode of 8, 8, 14, 12, 14, 7 and 14? (a) 12 (b) 8 (c) 14 (d) 7
  21. 21.What is the mean of 11, 15, 3, 12, 4 and 15? (a) 12 (b) 9 (c) 10 (d) 11
  22. 22.What is the mean of 4, 3, 11 and 10? (a) 6 (b) 8 (c) 9 (d) 7
  23. 23.The mean of 6 numbers is 25. When the number 39 is added to them, what is the new mean? (a) 32 (b) 27 (c) 28 (d) 25
  24. 24.What is the mode of 10, 17, 10, 7, 10, 17 and 5? (a) 5 (b) 17 (c) 10 (d) 7
  25. 25.What is the mean of 16, 3, 11, 6, 3 and 9? (a) 10 (b) 8 (c) 7 (d) 9
  26. 26.The mean of 4 numbers is 16. When the number 36 is added to them, what is the new mean? (a) 21 (b) 16 (c) 20 (d) 26
  27. 27.What is the mean of 15, 4, 2, 12, 20 and 7? (a) 9 (b) 11 (c) 12 (d) 10
  28. 28.What is the mode of 15, 15, 17, 17, 1, 5 and 17? (a) 1 (b) 5 (c) 15 (d) 17
  29. 29.What is the median of 11, 23, 3, 13 and 17? (a) 3 (b) 17 (c) 13 (d) 11
  30. 30.What is the mean of 3, 8, 3, 14, 8 and 6? (a) 7 (b) 6 (c) 8 (d) 9
  31. 31.What is the mode of 4, 6, 4, 6, 14, 4 and 9? (a) 6 (b) 14 (c) 9 (d) 4
  32. 32.What is the median of 5, 31, 26, 28, 36, 21 and 37? (a) 29 (b) 28 (c) 26 (d) 31
  33. 33.What is the mean of 19, 5, 17 and 15? (a) 13 (b) 14 (c) 15 (d) 16
  34. 34.What is the mode of 19, 3, 19, 12, 3, 3 and 17? (a) 3 (b) 12 (c) 17 (d) 19
  35. 35.What is the median of 18, 2, 6, 1, 39, 12 and 31? (a) 1 (b) 6 (c) 18 (d) 12
  36. 36.The mean of 7 numbers is 10. When the number 42 is added to them, what is the new mean? (a) 14 (b) 15 (c) 26 (d) 10
  37. 37.The mean of 9 numbers is 13. When the number 3 is added to them, what is the new mean? (a) 11 (b) 8 (c) 13 (d) 12
  38. 38.The mean of 3 numbers is 30. When the number 38 is added to them, what is the new mean? (a) 34 (b) 30 (c) 32 (d) 33
  39. 39.What is the mean of 7, 10, 10 and 21? (a) 12 (b) 11 (c) 13 (d) 16
  40. 40.What is the mode of 7, 9, 7, 13, 8, 8 and 7? (a) 7 (b) 9 (c) 13 (d) 8

Answer key

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

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