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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 858 · 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 7 numbers is 36. When the number 28 is added to them, what is the new mean? (a) 32 (b) 36 (c) 34 (d) 35
  2. 2.The mean of 3 numbers is 34. When the number 30 is added to them, what is the new mean? (a) 35 (b) 33 (c) 32 (d) 34
  3. 3.The mean of 8 numbers is 36. When the number 18 is added to them, what is the new mean? (a) 36 (b) 35 (c) 34 (d) 27
  4. 4.What is the median of 37, 23, 6, 32, 13, 2 and 16? (a) 23 (b) 16 (c) 13 (d) 32
  5. 5.The mean of 5 numbers is 32. When the number 50 is added to them, what is the new mean? (a) 36 (b) 41 (c) 32 (d) 35
  6. 6.What is the mode of 10, 4, 4, 18, 7, 10 and 10? (a) 18 (b) 7 (c) 4 (d) 10
  7. 7.What is the mode of 13, 5, 5, 16, 13, 8 and 5? (a) 13 (b) 5 (c) 8 (d) 16
  8. 8.What is the median of 32, 9, 20, 14, 11, 33 and 29? (a) 29 (b) 14 (c) 20 (d) 21
  9. 9.What is the mean of 8, 6, 7, 7, 16 and 22? (a) 10 (b) 13 (c) 11 (d) 12
  10. 10.What is the mode of 5, 5, 2, 2, 2, 12 and 8? (a) 12 (b) 5 (c) 2 (d) 8
  11. 11.What is the mode of 20, 7, 13, 17, 20, 20 and 17? (a) 20 (b) 13 (c) 17 (d) 7
  12. 12.What is the mean of 16, 2, 16, 16 and 5? (a) 10 (b) 11 (c) 12 (d) 13
  13. 13.What is the mean of 6, 4, 4 and 10? (a) 7 (b) 8 (c) 5 (d) 6
  14. 14.What is the mode of 3, 2, 19, 19, 1, 2 and 19? (a) 19 (b) 2 (c) 3 (d) 1
  15. 15.What is the mode of 3, 5, 20, 4, 5, 5 and 4? (a) 3 (b) 20 (c) 4 (d) 5
  16. 16.What is the mode of 4, 14, 4, 13, 4, 13 and 19? (a) 14 (b) 4 (c) 13 (d) 19
  17. 17.The mean of 3 numbers is 11. When the number 3 is added to them, what is the new mean? (a) 7 (b) 9 (c) 11 (d) 10
  18. 18.What is the mean of 5, 12, 18, 9 and 16? (a) 12 (b) 15 (c) 10 (d) 13
  19. 19.What is the mean of 14, 6, 11, 18 and 21? (a) 13 (b) 14 (c) 15 (d) 16
  20. 20.The mean of 7 numbers is 32. When the number 64 is added to them, what is the new mean? (a) 37 (b) 32 (c) 48 (d) 36
  21. 21.What is the mode of 11, 13, 8, 12, 12, 13 and 12? (a) 12 (b) 11 (c) 13 (d) 8
  22. 22.The mean of 6 numbers is 25. When the number 53 is added to them, what is the new mean? (a) 30 (b) 29 (c) 25 (d) 39
  23. 23.The mean of 8 numbers is 34. When the number 52 is added to them, what is the new mean? (a) 36 (b) 34 (c) 37 (d) 43
  24. 24.What is the mean of 6, 2, 19, 17, 6 and 10? (a) 9 (b) 12 (c) 10 (d) 11
  25. 25.What is the mode of 6, 6, 11, 11, 15, 6 and 4? (a) 4 (b) 15 (c) 6 (d) 11
  26. 26.What is the median of 33, 8, 1, 11 and 13? (a) 8 (b) 13 (c) 11 (d) 1
  27. 27.What is the mode of 1, 1, 16, 15, 2, 15 and 15? (a) 16 (b) 1 (c) 15 (d) 2
  28. 28.The mean of 8 numbers is 24. When the number 33 is added to them, what is the new mean? (a) 24 (b) 25 (c) 27 (d) 26
  29. 29.What is the mode of 3, 18, 18, 11, 2, 11 and 11? (a) 2 (b) 18 (c) 11 (d) 3
  30. 30.What is the mean of 18, 19, 3, 20 and 20? (a) 17 (b) 20 (c) 15 (d) 16
  31. 31.What is the mean of 2, 15, 5, 10, 15 and 19? (a) 13 (b) 10 (c) 12 (d) 11
  32. 32.What is the mean of 17, 19, 7 and 5? (a) 11 (b) 16 (c) 12 (d) 13
  33. 33.What is the mean of 6, 19, 5, 20, 2 and 20? (a) 14 (b) 12 (c) 13 (d) 11
  34. 34.What is the mode of 8, 18, 14, 20, 20, 18 and 18? (a) 14 (b) 20 (c) 8 (d) 18
  35. 35.What is the median of 20, 31, 26, 16 and 14? (a) 16 (b) 26 (c) 21 (d) 20
  36. 36.What is the median of 9, 39, 38, 27, 29, 21 and 25? (a) 25 (b) 28 (c) 27 (d) 29
  37. 37.What is the mean of 15, 18, 18, 10 and 14? (a) 15 (b) 17 (c) 14 (d) 16
  38. 38.What is the median of 4, 30, 12, 7 and 25? (a) 12 (b) 13 (c) 25 (d) 7
  39. 39.What is the median of 25, 8, 20, 14 and 38? (a) 20 (b) 21 (c) 25 (d) 14
  40. 40.What is the mode of 16, 9, 9, 16, 8, 3 and 9? (a) 16 (b) 3 (c) 8 (d) 9

Answer key

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

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