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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 88 · 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 11, 1, 11, 1, 10, 5 and 11? (a) 1 (b) 5 (c) 10 (d) 11
  2. 2.What is the mean of 11, 13, 14 and 22? (a) 20 (b) 12 (c) 16 (d) 15
  3. 3.What is the mode of 16, 11, 16, 7, 12, 11 and 11? (a) 11 (b) 12 (c) 7 (d) 16
  4. 4.The mean of 9 numbers is 36. When the number 66 is added to them, what is the new mean? (a) 36 (b) 51 (c) 39 (d) 40
  5. 5.What is the mode of 5, 5, 1, 19, 14, 1 and 5? (a) 19 (b) 14 (c) 5 (d) 1
  6. 6.What is the mean of 5, 19, 5, 19 and 7? (a) 10 (b) 13 (c) 11 (d) 12
  7. 7.What is the median of 37, 13, 16, 19, 27, 35 and 5? (a) 20 (b) 27 (c) 16 (d) 19
  8. 8.What is the mean of 8, 16, 5, 9 and 7? (a) 11 (b) 10 (c) 9 (d) 8
  9. 9.What is the median of 30, 11, 4, 26 and 15? (a) 4 (b) 11 (c) 15 (d) 26
  10. 10.What is the median of 17, 27, 5, 24 and 6? (a) 5 (b) 17 (c) 6 (d) 24
  11. 11.The mean of 5 numbers is 12. When the number 36 is added to them, what is the new mean? (a) 17 (b) 12 (c) 16 (d) 24
  12. 12.What is the mode of 18, 18, 15, 3, 3, 18 and 14? (a) 3 (b) 14 (c) 15 (d) 18
  13. 13.What is the mean of 17, 7, 8, 7 and 21? (a) 13 (b) 10 (c) 12 (d) 15
  14. 14.What is the mean of 10, 6, 17 and 11? (a) 13 (b) 11 (c) 12 (d) 10
  15. 15.What is the median of 8, 5, 35, 38 and 6? (a) 8 (b) 35 (c) 9 (d) 6
  16. 16.What is the mode of 9, 12, 12, 12, 7, 10 and 10? (a) 10 (b) 9 (c) 12 (d) 7
  17. 17.What is the mode of 2, 1, 2, 8, 2, 1 and 13? (a) 13 (b) 1 (c) 2 (d) 8
  18. 18.What is the median of 6, 21, 2, 37, 30, 13 and 26? (a) 26 (b) 21 (c) 37 (d) 13
  19. 19.The mean of 8 numbers is 34. When the number 16 is added to them, what is the new mean? (a) 33 (b) 34 (c) 25 (d) 32
  20. 20.What is the median of 8, 17, 9, 21 and 5? (a) 8 (b) 17 (c) 12 (d) 9
  21. 21.What is the mean of 6, 12, 15, 18 and 14? (a) 14 (b) 13 (c) 12 (d) 15
  22. 22.What is the median of 8, 15, 7, 13 and 22? (a) 7 (b) 8 (c) 13 (d) 15
  23. 23.What is the mode of 8, 4, 14, 8, 11, 8 and 11? (a) 14 (b) 11 (c) 8 (d) 4
  24. 24.What is the mode of 9, 12, 9, 9, 2, 4 and 12? (a) 9 (b) 2 (c) 12 (d) 4
  25. 25.What is the median of 5, 24, 32, 19, 1, 31 and 22? (a) 22 (b) 23 (c) 19 (d) 24
  26. 26.The mean of 7 numbers is 23. When the number 39 is added to them, what is the new mean? (a) 26 (b) 25 (c) 23 (d) 31
  27. 27.What is the mean of 20, 4, 17, 9 and 15? (a) 14 (b) 15 (c) 13 (d) 12
  28. 28.The mean of 6 numbers is 38. When the number 17 is added to them, what is the new mean? (a) 35 (b) 34 (c) 36 (d) 38
  29. 29.What is the median of 23, 18, 7, 11, 10, 19 and 27? (a) 11 (b) 17 (c) 18 (d) 19
  30. 30.The mean of 3 numbers is 19. When the number 31 is added to them, what is the new mean? (a) 22 (b) 25 (c) 19 (d) 23
  31. 31.What is the mean of 6, 19, 8 and 15? (a) 11 (b) 13 (c) 16 (d) 12
  32. 32.What is the mode of 1, 1, 12, 15, 6, 1 and 15? (a) 12 (b) 6 (c) 1 (d) 15
  33. 33.What is the mean of 12, 13, 20, 20 and 20? (a) 16 (b) 17 (c) 18 (d) 19
  34. 34.The mean of 8 numbers is 19. When the number 37 is added to them, what is the new mean? (a) 21 (b) 19 (c) 22 (d) 28
  35. 35.What is the mode of 7, 8, 3, 8, 3, 13 and 8? (a) 3 (b) 13 (c) 7 (d) 8
  36. 36.What is the mode of 3, 3, 4, 4, 19, 16 and 3? (a) 16 (b) 3 (c) 19 (d) 4
  37. 37.What is the mean of 17, 17, 17, 2, 16 and 21? (a) 16 (b) 18 (c) 15 (d) 14
  38. 38.The mean of 4 numbers is 14. When the number 34 is added to them, what is the new mean? (a) 18 (b) 14 (c) 19 (d) 24
  39. 39.What is the median of 37, 38, 16, 4 and 34? (a) 37 (b) 16 (c) 35 (d) 34
  40. 40.What is the mode of 11, 5, 5, 7, 13, 7 and 7? (a) 13 (b) 7 (c) 11 (d) 5

Answer key

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

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