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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 402 · 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.The mean of 5 numbers is 38. When the number 50 is added to them, what is the new mean? (a) 41 (b) 38 (c) 44 (d) 40
  2. 2.The mean of 5 numbers is 12. When the number 24 is added to them, what is the new mean? (a) 18 (b) 15 (c) 14 (d) 12
  3. 3.What is the mean of 18, 3, 14, 18, 18 and 7? (a) 12 (b) 13 (c) 14 (d) 15
  4. 4.What is the mode of 11, 12, 18, 7, 18, 12 and 12? (a) 7 (b) 11 (c) 12 (d) 18
  5. 5.What is the median of 5, 18, 10, 22, 19, 8 and 25? (a) 10 (b) 22 (c) 19 (d) 18
  6. 6.What is the mode of 17, 4, 4, 17, 14, 20 and 4? (a) 17 (b) 14 (c) 4 (d) 20
  7. 7.What is the median of 2, 22, 27, 3, 8, 12 and 10? (a) 8 (b) 10 (c) 12 (d) 3
  8. 8.The mean of 3 numbers is 21. When the number 9 is added to them, what is the new mean? (a) 19 (b) 18 (c) 21 (d) 15
  9. 9.The mean of 3 numbers is 28. When the number 40 is added to them, what is the new mean? (a) 34 (b) 32 (c) 28 (d) 31
  10. 10.What is the mean of 6, 13, 3, 2 and 11? (a) 7 (b) 8 (c) 9 (d) 6
  11. 11.What is the mode of 1, 9, 11, 2, 9, 11 and 11? (a) 11 (b) 9 (c) 1 (d) 2
  12. 12.The mean of 4 numbers is 13. When the number 8 is added to them, what is the new mean? (a) 14 (b) 12 (c) 11 (d) 13
  13. 13.What is the mode of 2, 7, 16, 16, 2, 14 and 16? (a) 14 (b) 7 (c) 16 (d) 2
  14. 14.What is the mode of 1, 4, 8, 6, 6, 1 and 6? (a) 4 (b) 6 (c) 8 (d) 1
  15. 15.The mean of 4 numbers is 14. When the number 9 is added to them, what is the new mean? (a) 15 (b) 13 (c) 12 (d) 14
  16. 16.What is the median of 2, 7, 30, 15 and 12? (a) 15 (b) 30 (c) 7 (d) 12
  17. 17.What is the mean of 13, 2, 16, 19 and 5? (a) 13 (b) 12 (c) 11 (d) 10
  18. 18.What is the median of 28, 35, 2, 32 and 18? (a) 32 (b) 23 (c) 2 (d) 28
  19. 19.What is the mean of 18, 13, 18 and 23? (a) 18 (b) 24 (c) 19 (d) 17
  20. 20.What is the median of 23, 27, 13, 36 and 21? (a) 24 (b) 27 (c) 23 (d) 13
  21. 21.What is the mean of 5, 2, 12, 8 and 8? (a) 6 (b) 8 (c) 7 (d) 9
  22. 22.What is the mean of 9, 7, 8, 19 and 17? (a) 12 (b) 15 (c) 10 (d) 13
  23. 23.What is the mean of 6, 4, 9 and 17? (a) 10 (b) 9 (c) 8 (d) 12
  24. 24.The mean of 9 numbers is 16. When the number 36 is added to them, what is the new mean? (a) 26 (b) 19 (c) 16 (d) 18
  25. 25.What is the mean of 17, 20, 12, 6 and 5? (a) 12 (b) 13 (c) 10 (d) 15
  26. 26.What is the mean of 17, 4, 6, 18, 5 and 4? (a) 11 (b) 9 (c) 8 (d) 10
  27. 27.What is the median of 3, 1, 12, 15 and 20? (a) 13 (b) 12 (c) 3 (d) 15
  28. 28.What is the median of 26, 6, 10, 24, 20, 16 and 32? (a) 21 (b) 20 (c) 16 (d) 24
  29. 29.The mean of 4 numbers is 17. When the number 22 is added to them, what is the new mean? (a) 20 (b) 17 (c) 18 (d) 19
  30. 30.The mean of 4 numbers is 20. When the number 30 is added to them, what is the new mean? (a) 25 (b) 23 (c) 20 (d) 22
  31. 31.What is the mean of 13, 4, 17, 4, 13 and 21? (a) 11 (b) 12 (c) 13 (d) 14
  32. 32.What is the mean of 7, 16, 10 and 7? (a) 8 (b) 10 (c) 9 (d) 11
  33. 33.What is the median of 7, 10, 24, 18, 40, 29 and 32? (a) 29 (b) 18 (c) 24 (d) 25
  34. 34.What is the median of 33, 1, 4, 3, 30, 6 and 12? (a) 6 (b) 12 (c) 4 (d) 3
  35. 35.What is the mode of 8, 8, 8, 2, 7, 19 and 7? (a) 8 (b) 7 (c) 19 (d) 2
  36. 36.The mean of 5 numbers is 20. When the number 8 is added to them, what is the new mean? (a) 19 (b) 20 (c) 14 (d) 18
  37. 37.The mean of 5 numbers is 40. When the number 16 is added to them, what is the new mean? (a) 40 (b) 36 (c) 28 (d) 37
  38. 38.The mean of 7 numbers is 38. When the number 46 is added to them, what is the new mean? (a) 40 (b) 38 (c) 42 (d) 39
  39. 39.What is the mean of 6, 12, 20, 11 and 21? (a) 15 (b) 16 (c) 13 (d) 14
  40. 40.What is the mode of 3, 20, 1, 2, 1, 20 and 20? (a) 20 (b) 2 (c) 1 (d) 3

Answer key

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

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