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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 831 · 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 20, 33, 7, 26 and 1? (a) 21 (b) 26 (c) 7 (d) 20
  2. 2.What is the mean of 5, 4, 15 and 16? (a) 9 (b) 8 (c) 11 (d) 10
  3. 3.What is the mode of 2, 19, 14, 19, 12, 19 and 12? (a) 14 (b) 19 (c) 12 (d) 2
  4. 4.What is the median of 6, 5, 32, 11 and 34? (a) 12 (b) 32 (c) 11 (d) 6
  5. 5.What is the mode of 14, 14, 20, 7, 2, 14 and 2? (a) 7 (b) 20 (c) 2 (d) 14
  6. 6.What is the mode of 9, 5, 9, 5, 15, 3 and 9? (a) 5 (b) 15 (c) 3 (d) 9
  7. 7.What is the mean of 8, 16, 13 and 19? (a) 16 (b) 14 (c) 13 (d) 15
  8. 8.What is the mode of 8, 2, 2, 6, 2, 8 and 12? (a) 8 (b) 12 (c) 2 (d) 6
  9. 9.What is the mode of 13, 20, 15, 5, 15, 13 and 13? (a) 20 (b) 5 (c) 15 (d) 13
  10. 10.The mean of 5 numbers is 21. When the number 45 is added to them, what is the new mean? (a) 26 (b) 21 (c) 33 (d) 25
  11. 11.What is the median of 11, 34, 16, 30, 9, 7 and 15? (a) 15 (b) 30 (c) 16 (d) 11
  12. 12.What is the mode of 3, 19, 3, 16, 8, 8 and 3? (a) 3 (b) 8 (c) 19 (d) 16
  13. 13.What is the mode of 2, 5, 5, 8, 8, 5 and 4? (a) 5 (b) 4 (c) 2 (d) 8
  14. 14.What is the mode of 16, 16, 9, 16, 9, 19 and 4? (a) 16 (b) 9 (c) 19 (d) 4
  15. 15.What is the mode of 6, 15, 17, 15, 14, 17 and 15? (a) 17 (b) 14 (c) 15 (d) 6
  16. 16.What is the mean of 12, 7, 8 and 13? (a) 8 (b) 9 (c) 10 (d) 11
  17. 17.What is the mean of 6, 4, 15, 4 and 6? (a) 7 (b) 6 (c) 8 (d) 9
  18. 18.What is the median of 35, 3, 22, 4, 8, 40 and 25? (a) 4 (b) 8 (c) 25 (d) 22
  19. 19.What is the median of 16, 5, 18, 37, 15, 20 and 3? (a) 15 (b) 16 (c) 37 (d) 18
  20. 20.What is the median of 33, 38, 7, 36 and 31? (a) 7 (b) 29 (c) 36 (d) 33
  21. 21.The mean of 4 numbers is 35. When the number 30 is added to them, what is the new mean? (a) 34 (b) 33 (c) 35 (d) 36
  22. 22.What is the median of 1, 37, 11, 12, 18, 28 and 26? (a) 12 (b) 18 (c) 19 (d) 26
  23. 23.What is the median of 38, 3, 13, 24 and 11? (a) 11 (b) 14 (c) 24 (d) 13
  24. 24.What is the mode of 15, 6, 16, 6, 6, 5 and 16? (a) 16 (b) 15 (c) 6 (d) 5
  25. 25.What is the median of 2, 24, 7, 15 and 9? (a) 15 (b) 7 (c) 10 (d) 9
  26. 26.The mean of 8 numbers is 17. When the number 26 is added to them, what is the new mean? (a) 18 (b) 20 (c) 17 (d) 19
  27. 27.What is the mean of 11, 17, 18 and 6? (a) 14 (b) 12 (c) 15 (d) 13
  28. 28.The mean of 9 numbers is 15. When the number 5 is added to them, what is the new mean? (a) 10 (b) 14 (c) 15 (d) 13
  29. 29.What is the mean of 17, 8, 7 and 4? (a) 10 (b) 8 (c) 12 (d) 9
  30. 30.The mean of 4 numbers is 36. When the number 26 is added to them, what is the new mean? (a) 35 (b) 36 (c) 34 (d) 31
  31. 31.What is the median of 15, 14, 3, 7 and 6? (a) 7 (b) 14 (c) 3 (d) 9
  32. 32.What is the mean of 4, 6, 9 and 21? (a) 11 (b) 10 (c) 9 (d) 8
  33. 33.What is the mean of 18, 12, 8, 19, 2 and 7? (a) 12 (b) 10 (c) 13 (d) 11
  34. 34.What is the mode of 7, 5, 4, 4, 4, 10 and 7? (a) 7 (b) 5 (c) 4 (d) 10
  35. 35.What is the mode of 2, 3, 15, 2, 3, 10 and 2? (a) 15 (b) 3 (c) 10 (d) 2
  36. 36.The mean of 7 numbers is 35. When the number 27 is added to them, what is the new mean? (a) 34 (b) 33 (c) 35 (d) 31
  37. 37.What is the mean of 19, 10, 20, 20, 16 and 11? (a) 16 (b) 17 (c) 15 (d) 18
  38. 38.What is the mode of 18, 16, 17, 18, 15, 18 and 15? (a) 17 (b) 15 (c) 18 (d) 16
  39. 39.The mean of 7 numbers is 32. When the number 16 is added to them, what is the new mean? (a) 30 (b) 32 (c) 31 (d) 24
  40. 40.What is the mode of 5, 17, 5, 18, 18, 18 and 1? (a) 5 (b) 1 (c) 17 (d) 18

Answer key

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

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