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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 359 · 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, 8, 13 and 22? (a) 14 (b) 13 (c) 12 (d) 15
  2. 2.What is the mode of 8, 16, 6, 6, 6, 8 and 13? (a) 8 (b) 13 (c) 16 (d) 6
  3. 3.What is the mode of 3, 13, 6, 3, 13, 12 and 3? (a) 13 (b) 6 (c) 3 (d) 12
  4. 4.The mean of 3 numbers is 28. When the number 44 is added to them, what is the new mean? (a) 32 (b) 33 (c) 28 (d) 36
  5. 5.The mean of 4 numbers is 11. When the number 6 is added to them, what is the new mean? (a) 9 (b) 12 (c) 10 (d) 11
  6. 6.The mean of 8 numbers is 22. When the number 31 is added to them, what is the new mean? (a) 22 (b) 24 (c) 23 (d) 25
  7. 7.The mean of 3 numbers is 19. When the number 7 is added to them, what is the new mean? (a) 17 (b) 19 (c) 16 (d) 13
  8. 8.What is the median of 9, 27, 8, 23 and 10? (a) 9 (b) 8 (c) 23 (d) 10
  9. 9.The mean of 8 numbers is 33. When the number 51 is added to them, what is the new mean? (a) 33 (b) 36 (c) 42 (d) 35
  10. 10.What is the mode of 20, 20, 6, 4, 18, 6 and 6? (a) 6 (b) 4 (c) 20 (d) 18
  11. 11.What is the mean of 4, 5, 13, 8, 18 and 6? (a) 10 (b) 11 (c) 9 (d) 8
  12. 12.What is the mode of 4, 1, 1, 5, 4, 1 and 8? (a) 1 (b) 8 (c) 4 (d) 5
  13. 13.What is the median of 18, 35, 17, 37 and 14? (a) 35 (b) 17 (c) 19 (d) 18
  14. 14.What is the mean of 6, 11, 18, 2 and 8? (a) 11 (b) 9 (c) 8 (d) 10
  15. 15.What is the mean of 8, 2, 8 and 22? (a) 11 (b) 10 (c) 9 (d) 8
  16. 16.What is the mode of 3, 13, 14, 7, 13, 14 and 13? (a) 14 (b) 3 (c) 13 (d) 7
  17. 17.What is the mean of 5, 19, 10, 3, 9 and 20? (a) 12 (b) 10 (c) 13 (d) 11
  18. 18.What is the mean of 15, 2, 4 and 23? (a) 13 (b) 12 (c) 11 (d) 10
  19. 19.What is the mean of 4, 20, 12, 3, 4 and 5? (a) 9 (b) 7 (c) 10 (d) 8
  20. 20.What is the median of 8, 1, 23, 3, 29, 25 and 24? (a) 24 (b) 23 (c) 3 (d) 8
  21. 21.What is the mode of 10, 5, 16, 10, 16, 7 and 16? (a) 5 (b) 10 (c) 7 (d) 16
  22. 22.What is the mean of 19, 16, 13, 14 and 18? (a) 20 (b) 16 (c) 17 (d) 15
  23. 23.What is the mode of 8, 15, 20, 20, 1, 15 and 15? (a) 20 (b) 1 (c) 15 (d) 8
  24. 24.What is the median of 24, 2, 5, 36, 20, 17 and 25? (a) 36 (b) 20 (c) 24 (d) 17
  25. 25.What is the median of 7, 19, 8, 17, 36, 20 and 9? (a) 19 (b) 18 (c) 17 (d) 9
  26. 26.The mean of 8 numbers is 11. When the number 38 is added to them, what is the new mean? (a) 15 (b) 13 (c) 11 (d) 14
  27. 27.What is the mode of 15, 14, 8, 4, 14, 15 and 14? (a) 14 (b) 15 (c) 4 (d) 8
  28. 28.What is the median of 39, 4, 17, 9 and 22? (a) 17 (b) 18 (c) 22 (d) 9
  29. 29.What is the mean of 5, 18, 3 and 10? (a) 8 (b) 9 (c) 12 (d) 10
  30. 30.What is the mode of 14, 1, 19, 18, 19, 1 and 19? (a) 14 (b) 18 (c) 19 (d) 1
  31. 31.The mean of 3 numbers is 16. When the number 12 is added to them, what is the new mean? (a) 16 (b) 14 (c) 15 (d) 17
  32. 32.What is the median of 24, 1, 27, 8 and 4? (a) 27 (b) 24 (c) 4 (d) 8
  33. 33.What is the mean of 9, 2, 18, 4, 7 and 8? (a) 9 (b) 10 (c) 7 (d) 8
  34. 34.What is the mode of 3, 2, 20, 7, 7, 7 and 20? (a) 3 (b) 20 (c) 2 (d) 7
  35. 35.What is the median of 10, 19, 5, 30, 4, 20 and 15? (a) 19 (b) 15 (c) 30 (d) 10
  36. 36.What is the median of 21, 24, 33, 38, 32, 28 and 40? (a) 33 (b) 38 (c) 32 (d) 28
  37. 37.The mean of 8 numbers is 13. When the number 40 is added to them, what is the new mean? (a) 15 (b) 17 (c) 16 (d) 13
  38. 38.What is the mode of 7, 14, 13, 7, 6, 14 and 7? (a) 13 (b) 7 (c) 6 (d) 14
  39. 39.What is the median of 33, 37, 1, 11 and 32? (a) 32 (b) 11 (c) 33 (d) 1
  40. 40.The mean of 8 numbers is 39. When the number 75 is added to them, what is the new mean? (a) 39 (b) 57 (c) 43 (d) 44

Answer key

  1. 13
  2. 6
  3. 3
  4. 32
  5. 10
  6. 23
  7. 16
  8. 10
  9. 35
  10. 6
  11. 9
  12. 1
  13. 18
  14. 9
  15. 10
  16. 13
  17. 11
  18. 11
  19. 8
  20. 23
  21. 16
  22. 16
  23. 15
  24. 20
  25. 17
  26. 14
  27. 14
  28. 17
  29. 9
  30. 19
  31. 15
  32. 8
  33. 8
  34. 7
  35. 15
  36. 32
  37. 16
  38. 7
  39. 32
  40. 43

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