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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 714 · 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 23, 27, 9, 5 and 3? (a) 9 (b) 5 (c) 10 (d) 23
  2. 2.What is the mean of 12, 20, 12, 18, 14 and 2? (a) 15 (b) 12 (c) 14 (d) 13
  3. 3.What is the mode of 20, 11, 15, 15, 11, 12 and 15? (a) 11 (b) 15 (c) 12 (d) 20
  4. 4.What is the median of 2, 6, 3, 35 and 23? (a) 7 (b) 23 (c) 3 (d) 6
  5. 5.The mean of 9 numbers is 30. When the number 20 is added to them, what is the new mean? (a) 30 (b) 28 (c) 29 (d) 25
  6. 6.The mean of 6 numbers is 26. When the number 40 is added to them, what is the new mean? (a) 29 (b) 26 (c) 28 (d) 33
  7. 7.The mean of 3 numbers is 22. When the number 6 is added to them, what is the new mean? (a) 18 (b) 14 (c) 19 (d) 22
  8. 8.What is the mode of 20, 9, 11, 9, 11, 1 and 11? (a) 1 (b) 20 (c) 11 (d) 9
  9. 9.What is the mean of 4, 17, 2, 2, 12 and 23? (a) 10 (b) 12 (c) 11 (d) 9
  10. 10.The mean of 7 numbers is 37. When the number 21 is added to them, what is the new mean? (a) 36 (b) 29 (c) 37 (d) 35
  11. 11.The mean of 5 numbers is 10. When the number 4 is added to them, what is the new mean? (a) 7 (b) 10 (c) 9 (d) 8
  12. 12.What is the mode of 20, 20, 20, 17, 11, 17 and 8? (a) 17 (b) 11 (c) 8 (d) 20
  13. 13.What is the mean of 14, 16, 9, 18 and 18? (a) 14 (b) 16 (c) 17 (d) 15
  14. 14.What is the mean of 16, 13, 15 and 12? (a) 14 (b) 13 (c) 15 (d) 16
  15. 15.What is the mode of 16, 16, 20, 10, 5, 10 and 16? (a) 10 (b) 20 (c) 16 (d) 5
  16. 16.What is the median of 23, 22, 14, 1 and 7? (a) 14 (b) 15 (c) 7 (d) 22
  17. 17.What is the mode of 1, 13, 11, 1, 6, 11 and 11? (a) 13 (b) 1 (c) 6 (d) 11
  18. 18.The mean of 4 numbers is 13. When the number 8 is added to them, what is the new mean? (a) 13 (b) 14 (c) 11 (d) 12
  19. 19.What is the median of 30, 6, 3, 25 and 14? (a) 6 (b) 3 (c) 14 (d) 25
  20. 20.What is the mean of 8, 5, 4, 13, 16 and 2? (a) 9 (b) 10 (c) 7 (d) 8
  21. 21.What is the mean of 14, 5, 18, 17, 20 and 22? (a) 17 (b) 18 (c) 16 (d) 15
  22. 22.What is the median of 2, 32, 4, 24 and 40? (a) 32 (b) 25 (c) 24 (d) 4
  23. 23.What is the mean of 17, 4, 3, 18, 20 and 4? (a) 13 (b) 11 (c) 12 (d) 10
  24. 24.What is the mean of 2, 11, 4, 2, 19 and 16? (a) 11 (b) 8 (c) 9 (d) 10
  25. 25.The mean of 4 numbers is 12. When the number 7 is added to them, what is the new mean? (a) 13 (b) 10 (c) 12 (d) 11
  26. 26.What is the median of 29, 37, 32, 2, 7, 3 and 21? (a) 29 (b) 7 (c) 21 (d) 2
  27. 27.What is the mean of 18, 13, 5, 10 and 19? (a) 12 (b) 15 (c) 14 (d) 13
  28. 28.The mean of 3 numbers is 35. When the number 31 is added to them, what is the new mean? (a) 34 (b) 33 (c) 35 (d) 36
  29. 29.What is the mean of 17, 16, 9, 4 and 19? (a) 12 (b) 14 (c) 13 (d) 15
  30. 30.What is the mode of 8, 12, 11, 8, 11, 8 and 3? (a) 3 (b) 12 (c) 11 (d) 8
  31. 31.The mean of 6 numbers is 34. When the number 13 is added to them, what is the new mean? (a) 34 (b) 32 (c) 31 (d) 30
  32. 32.What is the mode of 15, 8, 15, 15, 16, 17 and 16? (a) 17 (b) 8 (c) 15 (d) 16
  33. 33.What is the mode of 16, 16, 10, 10, 5, 9 and 10? (a) 16 (b) 10 (c) 9 (d) 5
  34. 34.What is the mean of 5, 11, 4, 10 and 10? (a) 10 (b) 9 (c) 7 (d) 8
  35. 35.The mean of 4 numbers is 15. When the number 20 is added to them, what is the new mean? (a) 16 (b) 17 (c) 18 (d) 15
  36. 36.What is the median of 14, 18, 22, 21 and 30? (a) 18 (b) 21 (c) 22 (d) 20
  37. 37.The mean of 3 numbers is 11. When the number 7 is added to them, what is the new mean? (a) 12 (b) 9 (c) 11 (d) 10
  38. 38.The mean of 3 numbers is 29. When the number 41 is added to them, what is the new mean? (a) 35 (b) 32 (c) 33 (d) 29
  39. 39.What is the median of 38, 4, 2, 13 and 1? (a) 5 (b) 4 (c) 13 (d) 2
  40. 40.What is the mode of 6, 20, 16, 6, 16, 7 and 6? (a) 16 (b) 6 (c) 7 (d) 20

Answer key

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

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