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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 432 · 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 mode of 9, 11, 11, 11, 6, 3 and 3? (a) 9 (b) 11 (c) 6 (d) 3
  2. 2.What is the mode of 10, 1, 1, 10, 6, 16 and 1? (a) 6 (b) 1 (c) 16 (d) 10
  3. 3.What is the median of 35, 17, 5, 32 and 23? (a) 17 (b) 23 (c) 32 (d) 5
  4. 4.What is the mean of 3, 20, 12, 6, 7 and 18? (a) 10 (b) 12 (c) 13 (d) 11
  5. 5.What is the mode of 14, 11, 14, 18, 14, 19 and 11? (a) 11 (b) 19 (c) 18 (d) 14
  6. 6.The mean of 4 numbers is 20. When the number 35 is added to them, what is the new mean? (a) 22 (b) 23 (c) 20 (d) 24
  7. 7.What is the mode of 5, 5, 9, 12, 2, 12 and 12? (a) 2 (b) 5 (c) 9 (d) 12
  8. 8.What is the median of 22, 9, 10, 38, 28, 1 and 35? (a) 28 (b) 10 (c) 22 (d) 38
  9. 9.The mean of 9 numbers is 18. When the number 28 is added to them, what is the new mean? (a) 20 (b) 18 (c) 19 (d) 23
  10. 10.What is the mean of 16, 4, 6 and 18? (a) 10 (b) 13 (c) 12 (d) 11
  11. 11.The mean of 3 numbers is 17. When the number 21 is added to them, what is the new mean? (a) 17 (b) 19 (c) 18 (d) 20
  12. 12.The mean of 6 numbers is 37. When the number 30 is added to them, what is the new mean? (a) 35 (b) 37 (c) 36 (d) 38
  13. 13.What is the median of 5, 38, 19, 4, 2, 33 and 11? (a) 4 (b) 19 (c) 11 (d) 16
  14. 14.What is the mean of 20, 10, 11, 15, 14 and 14? (a) 12 (b) 14 (c) 13 (d) 15
  15. 15.What is the mode of 10, 4, 13, 13, 13, 10 and 12? (a) 10 (b) 13 (c) 4 (d) 12
  16. 16.The mean of 9 numbers is 36. When the number 26 is added to them, what is the new mean? (a) 36 (b) 35 (c) 31 (d) 34
  17. 17.What is the mean of 2, 19, 20 and 3? (a) 10 (b) 11 (c) 12 (d) 13
  18. 18.What is the mode of 8, 9, 11, 9, 11, 2 and 9? (a) 9 (b) 11 (c) 8 (d) 2
  19. 19.What is the mean of 15, 5, 12, 17, 7 and 10? (a) 13 (b) 10 (c) 11 (d) 12
  20. 20.What is the mode of 6, 7, 6, 4, 6, 10 and 4? (a) 7 (b) 6 (c) 4 (d) 10
  21. 21.What is the mode of 16, 4, 16, 13, 4, 14 and 16? (a) 13 (b) 14 (c) 4 (d) 16
  22. 22.What is the mean of 12, 20, 17, 15, 10 and 10? (a) 13 (b) 12 (c) 14 (d) 15
  23. 23.What is the mean of 15, 13, 17 and 19? (a) 18 (b) 15 (c) 17 (d) 16
  24. 24.What is the mode of 7, 2, 7, 2, 11, 7 and 17? (a) 2 (b) 17 (c) 7 (d) 11
  25. 25.What is the mean of 16, 8, 4, 2 and 15? (a) 8 (b) 11 (c) 10 (d) 9
  26. 26.What is the mode of 2, 15, 2, 5, 2, 15 and 19? (a) 15 (b) 5 (c) 19 (d) 2
  27. 27.What is the median of 18, 34, 24, 10 and 22? (a) 23 (b) 18 (c) 22 (d) 24
  28. 28.The mean of 6 numbers is 24. When the number 17 is added to them, what is the new mean? (a) 22 (b) 25 (c) 24 (d) 23
  29. 29.What is the median of 31, 30, 16, 11 and 17? (a) 17 (b) 16 (c) 30 (d) 21
  30. 30.The mean of 4 numbers is 35. When the number 30 is added to them, what is the new mean? (a) 33 (b) 34 (c) 36 (d) 35
  31. 31.The mean of 3 numbers is 39. When the number 31 is added to them, what is the new mean? (a) 35 (b) 38 (c) 39 (d) 37
  32. 32.What is the median of 17, 31, 21, 19 and 6? (a) 20 (b) 17 (c) 21 (d) 19
  33. 33.What is the mode of 2, 2, 3, 11, 9, 3 and 2? (a) 2 (b) 9 (c) 11 (d) 3
  34. 34.What is the mean of 9, 3, 17, 8, 18 and 17? (a) 14 (b) 13 (c) 11 (d) 12
  35. 35.What is the median of 25, 5, 4, 12 and 11? (a) 5 (b) 11 (c) 4 (d) 12
  36. 36.The mean of 4 numbers is 11. When the number 26 is added to them, what is the new mean? (a) 13 (b) 15 (c) 14 (d) 11
  37. 37.The mean of 5 numbers is 36. When the number 12 is added to them, what is the new mean? (a) 24 (b) 36 (c) 32 (d) 33
  38. 38.What is the mode of 15, 2, 18, 9, 18, 2 and 2? (a) 2 (b) 18 (c) 9 (d) 15
  39. 39.What is the mode of 13, 10, 10, 8, 6, 8 and 10? (a) 6 (b) 13 (c) 10 (d) 8
  40. 40.The mean of 3 numbers is 20. When the number 24 is added to them, what is the new mean? (a) 23 (b) 22 (c) 21 (d) 20

Answer key

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

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