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- Mr Kim
Finding IQR for odd number of scores
0 1 2 3 4 5
0 1 2 3 4 5
Here is a Dot Plot
0 1 2 3 4 5
First, find the Median by
crossing off the dots
0 1 2 3 4 5
Start by crossing off the
Bottom dot from the
Smallest Score
0 1 2 3 4 5
Start by crossing off the
Bottom dot from the
Smallest Score
0 1 2 3 4 5
0 1 2 3 4 5
Now cross off the Top dot
from the Biggest Score
0 1 2 3 4 5
Now cross off the Top dot
from the Biggest Score
0 1 2 3 4 5
0 1 2 3 4 5
Cross off the dots in
the directions shown
0 1 2 3 4 5
“In”
0 1 2 3 4 5
“Out”
0 1 2 3 4 5
“In”
0 1 2 3 4 5
“Out”
0 1 2 3 4 5
“In”
0 1 2 3 4 5
“Out”
0 1 2 3 4 5
“In”
0 1 2 3 4 5
“Out”
0 1 2 3 4 5
“In”
0 1 2 3 4 5
“Out”
0 1 2 3 4 5
“In”
0 1 2 3 4 5
“Out”
0 1 2 3 4 5
“In”
0 1 2 3 4 5
“Out”
0 1 2 3 4 5
“In”
0 1 2 3 4 5
“Out”
0 1 2 3 4 5
Stop here
0 1 2 3 4 5
Always stop at “Out”
0 1 2 3 4 5
So the Median (Q2) is 3
0 1 2 3 4 5
Now divide the Dot Plot
in two
0 1 2 3 4 5
**It is very important to
divide the sides properly
0 1 2 3 4 5
To do this, count the dots
from the start until you
reach the Median
0 1 2 3 4 5
0 1 2 3 4 5
0 1 2 3 4 5
0 1 2 3 4 5
0 1 2 3 4 5
0 1 2 3 4 5
0 1 2 3 4 5
0 1 2 3 4 5
0 1 2 3 4 5
0 1 2 3 4 5
Stop here!
0 1 2 3 4 5
Now put a Border around
the dots that you just
counted
0 1 2 3 4 5
0 1 2 3 4 5
Now put a Border around
the other side
0 1 2 3 4 5
0 1 2 3 4 5
This is how you correctly
divide the sides
0 1 2 3 4 5
Notice there are
9 dots on each side
0 1 2 3 4 5
9 in here
0 1 2 3 4 5
And 9 in here
9 in here
0 1 2 3 4 5
This is the INCORRECT
0 1 2 3 4 5
There are 7
dots in here
There are 11
dots in here
This is the INCORRECT
0 1 2 3 4 5
0 1 2 3 4 5
Now find the Median for
both sides of the dots
0 1 2 3 4 5
Start with this side
0 1 2 3 4 5
Remember the
directions
0 1 2 3 4 5
“In”
0 1 2 3 4 5
“Out”
0 1 2 3 4 5
“In”
0 1 2 3 4 5
“Out”
0 1 2 3 4 5
“In”
0 1 2 3 4 5
“Out”
0 1 2 3 4 5
“In”
0 1 2 3 4 5
“Out”
0 1 2 3 4 5
Stop here
0 1 2 3 4 5
So the Lower Quartile (Q1) is
…
0 1 2 3 4 5
So the Lower Quartile (Q1) is
1
0 1 2 3 4 5
Lower Quartile: 1
0 1 2 3 4 5
Lower Quartile: 1
Now do the same to the
other side
0 1 2 3 4 5
Lower Quartile: 1
Remember the
directions
0 1 2 3 4 5
Lower Quartile: 1
“In”
0 1 2 3 4 5
Lower Quartile: 1
“Out”
0 1 2 3 4 5
Lower Quartile: 1
“In”
0 1 2 3 4 5
Lower Quartile: 1
“Out”
0 1 2 3 4 5
Lower Quartile: 1
“In”
0 1 2 3 4 5
Lower Quartile: 1
“Out”
0 1 2 3 4 5
Lower Quartile: 1
“In”
0 1 2 3 4 5
Lower Quartile: 1
“Out”
0 1 2 3 4 5
Lower Quartile: 1
Stop here
0 1 2 3 4 5
Lower Quartile: 1
So the Upper Quartile (Q3)
is …
0 1 2 3 4 5
Lower Quartile: 1
So the Upper Quartile (Q3)
is 4
0 1 2 3 4 5
Lower Quartile: 1 Upper Quartile: 4
0 1 2 3 4 5
Lower Quartile: 1
So the Interquartile Range is:
Upper Quartile: 4
0 1 2 3 4 5
Lower Quartile: 1
So the Interquartile Range is:
Upper Quartile: 4
0 1 2 3 4 5
Lower Quartile: 1
So the Interquartile Range is:
4 –
Upper Quartile: 4
0 1 2 3 4 5
Lower Quartile: 1
So the Interquartile Range is:
4 –
Upper Quartile: 4
0 1 2 3 4 5
Lower Quartile: 1
So the Interquartile Range is:
4 – 1
Upper Quartile: 4
0 1 2 3 4 5
Lower Quartile: 1
So the Interquartile Range is:
4 – 1 = 3
Our Final Answer!
Upper Quartile: 4

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Finding Interquartile Range from Dot Plot 1

  • 2. Finding IQR for odd number of scores
  • 3. 0 1 2 3 4 5
  • 4. 0 1 2 3 4 5 Here is a Dot Plot
  • 5. 0 1 2 3 4 5 First, find the Median by crossing off the dots
  • 6. 0 1 2 3 4 5 Start by crossing off the Bottom dot from the Smallest Score
  • 7. 0 1 2 3 4 5 Start by crossing off the Bottom dot from the Smallest Score
  • 8. 0 1 2 3 4 5
  • 9. 0 1 2 3 4 5 Now cross off the Top dot from the Biggest Score
  • 10. 0 1 2 3 4 5 Now cross off the Top dot from the Biggest Score
  • 11. 0 1 2 3 4 5
  • 12. 0 1 2 3 4 5 Cross off the dots in the directions shown
  • 13. 0 1 2 3 4 5 “In”
  • 14. 0 1 2 3 4 5 “Out”
  • 15. 0 1 2 3 4 5 “In”
  • 16. 0 1 2 3 4 5 “Out”
  • 17. 0 1 2 3 4 5 “In”
  • 18. 0 1 2 3 4 5 “Out”
  • 19. 0 1 2 3 4 5 “In”
  • 20. 0 1 2 3 4 5 “Out”
  • 21. 0 1 2 3 4 5 “In”
  • 22. 0 1 2 3 4 5 “Out”
  • 23. 0 1 2 3 4 5 “In”
  • 24. 0 1 2 3 4 5 “Out”
  • 25. 0 1 2 3 4 5 “In”
  • 26. 0 1 2 3 4 5 “Out”
  • 27. 0 1 2 3 4 5 “In”
  • 28. 0 1 2 3 4 5 “Out”
  • 29. 0 1 2 3 4 5 Stop here
  • 30. 0 1 2 3 4 5 Always stop at “Out”
  • 31. 0 1 2 3 4 5 So the Median (Q2) is 3
  • 32. 0 1 2 3 4 5 Now divide the Dot Plot in two
  • 33. 0 1 2 3 4 5 **It is very important to divide the sides properly
  • 34. 0 1 2 3 4 5 To do this, count the dots from the start until you reach the Median
  • 35. 0 1 2 3 4 5
  • 36. 0 1 2 3 4 5
  • 37. 0 1 2 3 4 5
  • 38. 0 1 2 3 4 5
  • 39. 0 1 2 3 4 5
  • 40. 0 1 2 3 4 5
  • 41. 0 1 2 3 4 5
  • 42. 0 1 2 3 4 5
  • 43. 0 1 2 3 4 5
  • 44. 0 1 2 3 4 5 Stop here!
  • 45. 0 1 2 3 4 5 Now put a Border around the dots that you just counted
  • 46. 0 1 2 3 4 5
  • 47. 0 1 2 3 4 5 Now put a Border around the other side
  • 48. 0 1 2 3 4 5
  • 49. 0 1 2 3 4 5 This is how you correctly divide the sides
  • 50. 0 1 2 3 4 5 Notice there are 9 dots on each side
  • 51. 0 1 2 3 4 5 9 in here
  • 52. 0 1 2 3 4 5 And 9 in here 9 in here
  • 53. 0 1 2 3 4 5 This is the INCORRECT
  • 54. 0 1 2 3 4 5 There are 7 dots in here There are 11 dots in here This is the INCORRECT
  • 55. 0 1 2 3 4 5
  • 56. 0 1 2 3 4 5 Now find the Median for both sides of the dots
  • 57. 0 1 2 3 4 5 Start with this side
  • 58. 0 1 2 3 4 5 Remember the directions
  • 59. 0 1 2 3 4 5 “In”
  • 60. 0 1 2 3 4 5 “Out”
  • 61. 0 1 2 3 4 5 “In”
  • 62. 0 1 2 3 4 5 “Out”
  • 63. 0 1 2 3 4 5 “In”
  • 64. 0 1 2 3 4 5 “Out”
  • 65. 0 1 2 3 4 5 “In”
  • 66. 0 1 2 3 4 5 “Out”
  • 67. 0 1 2 3 4 5 Stop here
  • 68. 0 1 2 3 4 5 So the Lower Quartile (Q1) is …
  • 69. 0 1 2 3 4 5 So the Lower Quartile (Q1) is 1
  • 70. 0 1 2 3 4 5 Lower Quartile: 1
  • 71. 0 1 2 3 4 5 Lower Quartile: 1 Now do the same to the other side
  • 72. 0 1 2 3 4 5 Lower Quartile: 1 Remember the directions
  • 73. 0 1 2 3 4 5 Lower Quartile: 1 “In”
  • 74. 0 1 2 3 4 5 Lower Quartile: 1 “Out”
  • 75. 0 1 2 3 4 5 Lower Quartile: 1 “In”
  • 76. 0 1 2 3 4 5 Lower Quartile: 1 “Out”
  • 77. 0 1 2 3 4 5 Lower Quartile: 1 “In”
  • 78. 0 1 2 3 4 5 Lower Quartile: 1 “Out”
  • 79. 0 1 2 3 4 5 Lower Quartile: 1 “In”
  • 80. 0 1 2 3 4 5 Lower Quartile: 1 “Out”
  • 81. 0 1 2 3 4 5 Lower Quartile: 1 Stop here
  • 82. 0 1 2 3 4 5 Lower Quartile: 1 So the Upper Quartile (Q3) is …
  • 83. 0 1 2 3 4 5 Lower Quartile: 1 So the Upper Quartile (Q3) is 4
  • 84. 0 1 2 3 4 5 Lower Quartile: 1 Upper Quartile: 4
  • 85. 0 1 2 3 4 5 Lower Quartile: 1 So the Interquartile Range is: Upper Quartile: 4
  • 86. 0 1 2 3 4 5 Lower Quartile: 1 So the Interquartile Range is: Upper Quartile: 4
  • 87. 0 1 2 3 4 5 Lower Quartile: 1 So the Interquartile Range is: 4 – Upper Quartile: 4
  • 88. 0 1 2 3 4 5 Lower Quartile: 1 So the Interquartile Range is: 4 – Upper Quartile: 4
  • 89. 0 1 2 3 4 5 Lower Quartile: 1 So the Interquartile Range is: 4 – 1 Upper Quartile: 4
  • 90. 0 1 2 3 4 5 Lower Quartile: 1 So the Interquartile Range is: 4 – 1 = 3 Our Final Answer! Upper Quartile: 4