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Finding Interquartile Range from Stem-Leaf Plot 1

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Moonie Kim

This document provides instructions for finding the interquartile range (IQR) of a data set with an odd number of values. It explains how to order the data from smallest to largest, find the median by crossing out values from the top and bottom, and divide the remaining values into two sides to separately calculate the lower and upper quartiles.

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- Mr Kim
Finding IQR for odd number of scores
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 First, find the Median by crossing off the scores
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 **Make sure the scores are in Ascending Order first!
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 **Make sure the scores are in Ascending Order first!
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 **Make sure the scores are in Ascending Order first! The scores here go from Small to Big
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 The scores here go from Small to Big **Make sure the scores are in Ascending Order first!
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 The scores here go from Small to Big **Make sure the scores are in Ascending Order first!
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 The scores here go from Small to Big **Make sure the scores are in Ascending Order first!
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 The scores here go from Small to Big **Make sure the scores are in Ascending Order first!
1 5 3 5 8 5 9 2 3 0 1 3 3 2 7 4 4 2 6 5 1 7 For example this is not in ascending order
1 5 3 5 8 5 9 2 3 0 1 3 3 2 7 4 4 2 6 5 1 7 For example this is not in ascending order
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Now, start by crossing off the Smallest Number
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 13 Now, start by crossing off the Smallest Number
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Now cross off the Biggest Number
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 57 Now cross off the Biggest Number
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Cross off the scores in the directions shown
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “In”
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “Out”
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “In”
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “Out”
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “In”
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “Out”
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “In”
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “Out”
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “In”
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “Out”
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “In”
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “Out”
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “In”
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “Out”
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Stop here
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Always stop at “Out”
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 So the Median (Q2) is…
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 So the Median (Q2) is 21
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Now put 2 lines around it like shown
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Now find the Lower and Upper Quartile by dividing the Stem-Leaf Plot in two
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 **It is very important to divide the sides properly
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 To do this, count the scores from the start until you reach the Line
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Stop here!
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Now put a Border around the scores that you just counted
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Now put a Border around the other side
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 This is how you correctly divide the sides
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Now find the Median for both sides of the scores by crossing off each side at a time
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 We will start with this side
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Remember the directions
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “In”
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “Out”
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “In”
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “Out”
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “In”
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “Out”
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Stop here!
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 15 18
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 15 18 So the Lower Quartile (Q1) is between 15 and 18 which is…
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 15 18 So the Lower Quartile (Q1) is between 15 and 18 which is… 15
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 15 18 So the Lower Quartile (Q1) is between 15 and 18 which is… 1815
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 15 18 So the Lower Quartile (Q1) is between 15 and 18 which is… 2 1815 
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 15 18 So the Lower Quartile (Q1) is between 15 and 18 which is… 5.16 2 1815  
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 15 18 So the Lower Quartile (Q1) is between 15 and 18 which is 16.5
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Now cross off the other side Lower Quartile: 16.5
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 Remember the directions
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 “In”
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 “Out”
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 “In”
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 “Out”
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 “In”
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 “Out”
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 Stop here!
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 37 42
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 So the Upper Quartile (Q3) is between 37 and 42 which is …37 42
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 42 So the Upper Quartile (Q3) is between 37 and 42 which is …37 37
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 42 So the Upper Quartile (Q3) is between 37 and 42 which is …37 4237 
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 42 So the Upper Quartile (Q3) is between 37 and 42 which is …37 2 4237 
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 42 So the Upper Quartile (Q3) is between 37 and 42 which is …37 5.39 2 4237  
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 42 So the Upper Quartile (Q3) is between 37 and 42 which is 39.537
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 Upper Quartile: 39.5
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 So, the Interquartile Range is Upper Quartile: 39.5
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 So, the Interquartile Range is Upper Quartile: 39.5
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 Upper Quartile: 39.5 So, the Interquartile Range is 39.5 –
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 Upper Quartile: 39.5 So, the Interquartile Range is 39.5 –
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 Upper Quartile: 39.5 So, the Interquartile Range is 39.5 – 16.5
1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 So, the Interquartile Range is 39.5 – 16.5 = 23 Our Final Answer! Upper Quartile: 39.5

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Finding Interquartile Range from Stem-Leaf Plot 1

  • 2. Finding IQR for odd number of scores
  • 3. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
  • 4. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 First, find the Median by crossing off the scores
  • 5. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 **Make sure the scores are in Ascending Order first!
  • 6. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 **Make sure the scores are in Ascending Order first!
  • 7. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 **Make sure the scores are in Ascending Order first! The scores here go from Small to Big
  • 8. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 The scores here go from Small to Big **Make sure the scores are in Ascending Order first!
  • 9. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 The scores here go from Small to Big **Make sure the scores are in Ascending Order first!
  • 10. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 The scores here go from Small to Big **Make sure the scores are in Ascending Order first!
  • 11. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 The scores here go from Small to Big **Make sure the scores are in Ascending Order first!
  • 12. 1 5 3 5 8 5 9 2 3 0 1 3 3 2 7 4 4 2 6 5 1 7 For example this is not in ascending order
  • 13. 1 5 3 5 8 5 9 2 3 0 1 3 3 2 7 4 4 2 6 5 1 7 For example this is not in ascending order
  • 14. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Now, start by crossing off the Smallest Number
  • 15. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 13 Now, start by crossing off the Smallest Number
  • 16. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
  • 17. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Now cross off the Biggest Number
  • 18. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 57 Now cross off the Biggest Number
  • 19. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
  • 20. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Cross off the scores in the directions shown
  • 21. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “In”
  • 22. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “Out”
  • 23. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “In”
  • 24. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “Out”
  • 25. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “In”
  • 26. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “Out”
  • 27. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “In”
  • 28. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “Out”
  • 29. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “In”
  • 30. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “Out”
  • 31. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “In”
  • 32. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “Out”
  • 33. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “In”
  • 34. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “Out”
  • 35. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Stop here
  • 36. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Always stop at “Out”
  • 37. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 So the Median (Q2) is…
  • 38. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 So the Median (Q2) is 21
  • 39. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Now put 2 lines around it like shown
  • 40. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Now find the Lower and Upper Quartile by dividing the Stem-Leaf Plot in two
  • 41. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 **It is very important to divide the sides properly
  • 42. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 To do this, count the scores from the start until you reach the Line
  • 43. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
  • 44. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
  • 45. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
  • 46. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
  • 47. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
  • 48. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
  • 49. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
  • 50. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
  • 51. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Stop here!
  • 52. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Now put a Border around the scores that you just counted
  • 53. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
  • 54. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Now put a Border around the other side
  • 55. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
  • 56. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 This is how you correctly divide the sides
  • 57. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Now find the Median for both sides of the scores by crossing off each side at a time
  • 58. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 We will start with this side
  • 59. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Remember the directions
  • 60. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “In”
  • 61. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “Out”
  • 62. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “In”
  • 63. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “Out”
  • 64. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “In”
  • 65. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 “Out”
  • 66. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Stop here!
  • 67. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7
  • 68. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 15 18
  • 69. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 15 18 So the Lower Quartile (Q1) is between 15 and 18 which is…
  • 70. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 15 18 So the Lower Quartile (Q1) is between 15 and 18 which is… 15
  • 71. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 15 18 So the Lower Quartile (Q1) is between 15 and 18 which is… 1815
  • 72. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 15 18 So the Lower Quartile (Q1) is between 15 and 18 which is… 2 1815 
  • 73. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 15 18 So the Lower Quartile (Q1) is between 15 and 18 which is… 5.16 2 1815  
  • 74. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 15 18 So the Lower Quartile (Q1) is between 15 and 18 which is 16.5
  • 75. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5
  • 76. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Now cross off the other side Lower Quartile: 16.5
  • 77. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 Remember the directions
  • 78. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 “In”
  • 79. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 “Out”
  • 80. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 “In”
  • 81. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 “Out”
  • 82. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 “In”
  • 83. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 “Out”
  • 84. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 Stop here!
  • 85. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5
  • 86. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 37 42
  • 87. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 So the Upper Quartile (Q3) is between 37 and 42 which is …37 42
  • 88. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 42 So the Upper Quartile (Q3) is between 37 and 42 which is …37 37
  • 89. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 42 So the Upper Quartile (Q3) is between 37 and 42 which is …37 4237 
  • 90. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 42 So the Upper Quartile (Q3) is between 37 and 42 which is …37 2 4237 
  • 91. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 42 So the Upper Quartile (Q3) is between 37 and 42 which is …37 5.39 2 4237  
  • 92. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 42 So the Upper Quartile (Q3) is between 37 and 42 which is 39.537
  • 93. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 Upper Quartile: 39.5
  • 94. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 So, the Interquartile Range is Upper Quartile: 39.5
  • 95. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 So, the Interquartile Range is Upper Quartile: 39.5
  • 96. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 Upper Quartile: 39.5 So, the Interquartile Range is 39.5 –
  • 97. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 Upper Quartile: 39.5 So, the Interquartile Range is 39.5 –
  • 98. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 Upper Quartile: 39.5 So, the Interquartile Range is 39.5 – 16.5
  • 99. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 So, the Interquartile Range is 39.5 – 16.5 = 23 Our Final Answer! Upper Quartile: 39.5