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Finding Interquartile Range from Stem-Leaf Plot 2
- 3. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
- 4. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
First, find the Median by
crossing off the scores
- 5. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Now, start by crossing
off the Smallest Number
- 6. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
2
Now, start by crossing
off the Smallest Number
- 7. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
- 8. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Now cross off the
Biggest Number
- 9. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
47
Now cross off the
Biggest Number
- 10. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
- 11. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Cross off the scores in
the directions shown
- 12. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
“In”
- 13. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
“Out”
- 14. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
“In”
- 15. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Notice there is
nothing in the 30’s
- 16. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
So skip to the next
score
- 17. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
“Out”
- 18. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
“In”
- 19. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
“Out”
- 20. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
“In”
- 21. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
“Out”
- 22. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Stop here
- 23. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Always stop at “Out”
- 24. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Put a line between the
two scores
- 25. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Put a line between the
two scores
- 26. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
- 27. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
12
11
- 28. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
So the Median (Q2) is in
between 11 and 12
which is …
12
11
- 29. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
So the Median (Q2) is in
between 11 and 12
which is 11.5
11
12
- 30. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
So the Median (Q2) is in
between 11 and 12
which is 11.5
11+12
2
11
=11.5
12
- 31. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
- 32. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Now find the Lower and
Upper Quartile by dividing
the Stem-Leaf Plot in two
- 33. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
**It is very important to
divide the sides properly
- 34. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
To do this, count the
scores from the start
until you reach the Line
- 35. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
- 36. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
- 37. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
- 38. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
- 39. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
- 40. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
- 41. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Stop here!
- 42. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Now put a Border around
the scores that you just
counted
- 43. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
- 44. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Now put a Border around
the other side
- 45. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
- 46. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
This is how you correctly
divide the sides
- 47. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Now find the Median for
both sides of the scores by
crossing off each side at a
time
- 48. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
We will start with
this side
- 49. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Remember the
directions
- 50. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
“In”
- 51. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
“Out”
- 52. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
“In”
- 53. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
“Out”
- 54. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Stop here!
- 55. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
- 56. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
43
- 57. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
So the Lower Quartile (Q1)
is between 3 and 4
which is …
43
- 58. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
43
So the Lower Quartile (Q1)
is between 3 and 4
which is 3.5
- 59. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
43
So the Lower Quartile (Q1)
is between 3 and 4
which is 3.5
3+4
2
= 3.5
- 60. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Lower Quartile:
3.5
- 61. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Lower Quartile:
3.5
Now cross off the
other side
- 62. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Lower Quartile:
3.5
Remember the
directions
- 63. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Lower Quartile:
3.5
“In”
- 64. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Lower Quartile:
3.5
“Out”
- 65. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Lower Quartile:
3.5
“In”
- 66. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Lower Quartile:
3.5
“Out”
- 67. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Lower Quartile:
3.5
Stop here!
- 68. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Lower Quartile:
3.5
- 69. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Lower Quartile:
3.5
2320
- 70. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Lower Quartile:
3.5
So the Upper Quartile (Q3)
is between 20 and 23
which is …
2320
- 71. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Lower Quartile:
3.5
So the Upper Quartile (Q3)
is between 20 and 23
which is 21.5
2320
- 72. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Lower Quartile:
3.5
So the Upper Quartile (Q3)
is between 20 and 23
which is 21.5
2320
20+23
2
= 21.5
- 73. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Lower Quartile:
3.5
Upper Quartile:
21.5
- 74. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Lower Quartile:
3.5
So, the Interquartile Range is
Upper Quartile:
21.5
- 75. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Lower Quartile:
3.5
So, the Interquartile Range is
Upper Quartile:
21.5
- 76. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Lower Quartile:
3.5
Upper Quartile:
21.5
So, the Interquartile Range is
21.5 –
- 77. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Lower Quartile:
3.5
Upper Quartile:
21.5
So, the Interquartile Range is
21.5 –
- 78. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Lower Quartile:
3.5
Upper Quartile:
21.5
So, the Interquartile Range is
21.5 – 3.5
- 79. 0 2 2 3 4 6
1 1 2
2 0 0 3
3
4 5 7
Lower Quartile:
3.5
Upper Quartile:
21.5
So, the Interquartile Range is
21.5 – 3.5 = 18
Our Final Answer!