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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 784 · 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 median of 34, 9, 7, 30, 11, 37 and 20? (a) 20 (b) 21 (c) 30 (d) 11
  2. 2.What is the mode of 1, 1, 2, 2, 3, 9 and 1? (a) 3 (b) 9 (c) 2 (d) 1
  3. 3.What is the median of 9, 10, 5, 16 and 6? (a) 10 (b) 6 (c) 9 (d) 5
  4. 4.What is the mode of 20, 15, 18, 4, 4, 20 and 4? (a) 4 (b) 15 (c) 18 (d) 20
  5. 5.The mean of 7 numbers is 20. When the number 52 is added to them, what is the new mean? (a) 24 (b) 36 (c) 20 (d) 25
  6. 6.What is the mode of 9, 3, 1, 2, 2, 2 and 3? (a) 9 (b) 3 (c) 2 (d) 1
  7. 7.What is the mean of 15, 9, 5 and 15? (a) 12 (b) 10 (c) 11 (d) 13
  8. 8.What is the median of 18, 2, 7, 16 and 6? (a) 7 (b) 8 (c) 16 (d) 6
  9. 9.What is the mode of 6, 8, 6, 6, 20, 7 and 20? (a) 8 (b) 6 (c) 7 (d) 20
  10. 10.What is the mean of 20, 14, 2, 5 and 14? (a) 13 (b) 11 (c) 12 (d) 10
  11. 11.What is the mode of 1, 7, 10, 10, 4, 4 and 10? (a) 1 (b) 7 (c) 10 (d) 4
  12. 12.What is the mode of 15, 15, 19, 7, 15, 10 and 19? (a) 15 (b) 7 (c) 10 (d) 19
  13. 13.The mean of 3 numbers is 17. When the number 25 is added to them, what is the new mean? (a) 19 (b) 20 (c) 17 (d) 21
  14. 14.The mean of 6 numbers is 40. When the number 26 is added to them, what is the new mean? (a) 40 (b) 33 (c) 39 (d) 38
  15. 15.The mean of 8 numbers is 32. When the number 41 is added to them, what is the new mean? (a) 34 (b) 32 (c) 33 (d) 35
  16. 16.What is the median of 23, 29, 4, 21 and 11? (a) 11 (b) 4 (c) 21 (d) 23
  17. 17.What is the median of 30, 15, 24, 11 and 34? (a) 30 (b) 24 (c) 25 (d) 15
  18. 18.The mean of 3 numbers is 24. When the number 8 is added to them, what is the new mean? (a) 21 (b) 20 (c) 16 (d) 24
  19. 19.The mean of 6 numbers is 30. When the number 37 is added to them, what is the new mean? (a) 31 (b) 32 (c) 33 (d) 30
  20. 20.What is the median of 8, 13, 25, 23, 38, 33 and 3? (a) 13 (b) 25 (c) 23 (d) 24
  21. 21.What is the mode of 15, 1, 1, 1, 11, 13 and 15? (a) 15 (b) 1 (c) 11 (d) 13
  22. 22.What is the mean of 9, 15, 20 and 16? (a) 12 (b) 20 (c) 15 (d) 16
  23. 23.The mean of 6 numbers is 20. When the number 13 is added to them, what is the new mean? (a) 21 (b) 20 (c) 18 (d) 19
  24. 24.What is the mean of 10, 2, 2, 10 and 11? (a) 9 (b) 7 (c) 8 (d) 6
  25. 25.The mean of 4 numbers is 29. When the number 34 is added to them, what is the new mean? (a) 29 (b) 30 (c) 32 (d) 31
  26. 26.What is the mean of 6, 5, 8, 7, 13 and 15? (a) 10 (b) 8 (c) 11 (d) 9
  27. 27.What is the mode of 8, 20, 1, 8, 1, 1 and 19? (a) 1 (b) 8 (c) 20 (d) 19
  28. 28.What is the mean of 4, 6, 7 and 15? (a) 10 (b) 7 (c) 9 (d) 8
  29. 29.The mean of 3 numbers is 34. When the number 46 is added to them, what is the new mean? (a) 34 (b) 38 (c) 40 (d) 37
  30. 30.What is the median of 38, 10, 7, 16 and 12? (a) 16 (b) 10 (c) 12 (d) 7
  31. 31.The mean of 4 numbers is 37. When the number 17 is added to them, what is the new mean? (a) 37 (b) 27 (c) 33 (d) 34
  32. 32.What is the mode of 12, 9, 12, 9, 12, 15 and 10? (a) 9 (b) 10 (c) 12 (d) 15
  33. 33.What is the median of 18, 10, 28, 9 and 11? (a) 18 (b) 10 (c) 11 (d) 28
  34. 34.What is the median of 25, 35, 11, 30, 20, 21 and 19? (a) 30 (b) 23 (c) 21 (d) 25
  35. 35.What is the mode of 18, 9, 8, 8, 20, 8 and 18? (a) 18 (b) 9 (c) 8 (d) 20
  36. 36.What is the mean of 20, 18, 3 and 7? (a) 13 (b) 12 (c) 11 (d) 16
  37. 37.What is the mean of 14, 6, 19 and 21? (a) 16 (b) 20 (c) 12 (d) 15
  38. 38.What is the mean of 3, 12, 20, 15 and 20? (a) 15 (b) 13 (c) 14 (d) 16
  39. 39.What is the mode of 3, 2, 12, 9, 9, 2 and 2? (a) 3 (b) 12 (c) 9 (d) 2
  40. 40.What is the mode of 2, 6, 6, 13, 13, 14 and 13? (a) 13 (b) 2 (c) 6 (d) 14

Answer key

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

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