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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 665 · 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 12, 17, 17 and 10? (a) 13 (b) 14 (c) 15 (d) 16
  2. 2.What is the mean of 15, 17, 18, 2 and 13? (a) 14 (b) 13 (c) 12 (d) 15
  3. 3.What is the median of 32, 16, 26, 4 and 27? (a) 26 (b) 21 (c) 27 (d) 16
  4. 4.What is the median of 35, 22, 3, 9, 30, 8 and 10? (a) 22 (b) 10 (c) 11 (d) 9
  5. 5.What is the median of 33, 15, 11, 12 and 6? (a) 13 (b) 11 (c) 15 (d) 12
  6. 6.What is the mean of 7, 13, 4 and 12? (a) 12 (b) 10 (c) 9 (d) 8
  7. 7.What is the mode of 14, 11, 3, 6, 6, 6 and 14? (a) 6 (b) 14 (c) 11 (d) 3
  8. 8.What is the median of 12, 38, 35, 13, 8, 15 and 1? (a) 12 (b) 14 (c) 15 (d) 13
  9. 9.The mean of 3 numbers is 10. When the number 2 is added to them, what is the new mean? (a) 10 (b) 6 (c) 8 (d) 9
  10. 10.The mean of 5 numbers is 37. When the number 43 is added to them, what is the new mean? (a) 40 (b) 38 (c) 37 (d) 39
  11. 11.What is the mean of 16, 5, 7 and 20? (a) 16 (b) 11 (c) 12 (d) 13
  12. 12.What is the mean of 3, 8, 10 and 7? (a) 7 (b) 8 (c) 6 (d) 9
  13. 13.What is the mode of 9, 10, 19, 13, 10, 9 and 9? (a) 19 (b) 9 (c) 13 (d) 10
  14. 14.What is the mode of 2, 2, 16, 15, 9, 2 and 15? (a) 15 (b) 9 (c) 16 (d) 2
  15. 15.What is the mean of 2, 9, 16 and 5? (a) 8 (b) 7 (c) 10 (d) 9
  16. 16.What is the mean of 10, 20, 12 and 10? (a) 13 (b) 14 (c) 12 (d) 15
  17. 17.The mean of 8 numbers is 22. When the number 31 is added to them, what is the new mean? (a) 24 (b) 22 (c) 23 (d) 25
  18. 18.What is the mean of 14, 2, 16 and 16? (a) 16 (b) 12 (c) 11 (d) 13
  19. 19.What is the median of 12, 23, 21, 1, 17, 29 and 4? (a) 1 (b) 12 (c) 21 (d) 17
  20. 20.What is the mode of 5, 1, 18, 15, 1, 5 and 1? (a) 5 (b) 1 (c) 18 (d) 15
  21. 21.The mean of 7 numbers is 36. When the number 44 is added to them, what is the new mean? (a) 36 (b) 38 (c) 40 (d) 37
  22. 22.The mean of 9 numbers is 38. When the number 18 is added to them, what is the new mean? (a) 38 (b) 28 (c) 36 (d) 37
  23. 23.The mean of 9 numbers is 16. When the number 26 is added to them, what is the new mean? (a) 17 (b) 18 (c) 21 (d) 16
  24. 24.What is the mode of 20, 1, 5, 4, 1, 1 and 20? (a) 4 (b) 5 (c) 20 (d) 1
  25. 25.What is the median of 23, 2, 6, 1, 19, 3 and 21? (a) 19 (b) 3 (c) 1 (d) 6
  26. 26.The mean of 4 numbers is 36. When the number 31 is added to them, what is the new mean? (a) 36 (b) 37 (c) 35 (d) 34
  27. 27.What is the median of 16, 4, 15, 13 and 35? (a) 16 (b) 13 (c) 14 (d) 15
  28. 28.What is the mean of 10, 20, 8, 8, 13 and 25? (a) 12 (b) 14 (c) 15 (d) 13
  29. 29.What is the mean of 8, 7, 7, 10, 7 and 21? (a) 11 (b) 12 (c) 9 (d) 10
  30. 30.What is the mean of 12, 14, 13 and 21? (a) 12 (b) 16 (c) 15 (d) 20
  31. 31.What is the median of 39, 8, 3, 4, 38, 20 and 2? (a) 20 (b) 4 (c) 8 (d) 9
  32. 32.What is the mode of 19, 10, 12, 10, 16, 19 and 10? (a) 10 (b) 12 (c) 16 (d) 19
  33. 33.What is the median of 11, 3, 28, 23 and 33? (a) 11 (b) 23 (c) 28 (d) 24
  34. 34.The mean of 3 numbers is 18. When the number 10 is added to them, what is the new mean? (a) 14 (b) 16 (c) 17 (d) 18
  35. 35.What is the mode of 3, 5, 3, 8, 7, 8 and 3? (a) 5 (b) 8 (c) 7 (d) 3
  36. 36.What is the median of 7, 10, 39, 15, 3, 1 and 2? (a) 10 (b) 7 (c) 11 (d) 15
  37. 37.The mean of 4 numbers is 23. When the number 3 is added to them, what is the new mean? (a) 23 (b) 13 (c) 20 (d) 19
  38. 38.What is the mean of 11, 4, 18, 17, 15 and 7? (a) 13 (b) 12 (c) 14 (d) 11
  39. 39.What is the mean of 4, 4, 18, 3, 3 and 4? (a) 6 (b) 5 (c) 8 (d) 7
  40. 40.What is the mode of 4, 6, 14, 6, 7, 7 and 6? (a) 14 (b) 6 (c) 7 (d) 4

Answer key

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

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