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Finding: Interquartile Range from Dot Plot
2- Mr Kim
Example on:Finding IQR for even number of scores
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1. Find the Median by crossing off the
dots
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Finding IQR from Dot Plots (Even number of scores)
Start by crossing off the Bottom dot
from the Smallest Score
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Finding IQR from Dot Plots (Even number of scores)
Start by crossing off the Bottom dot
from the Smallest Score
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Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
Now cross off the Top dot from the Biggest Score
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Finding IQR from Dot Plots (Even number of scores)
Now cross off the Top dot from the Biggest Score
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Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
Always cross off the dots in the directions
shown
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
So the Median (Q2) is between 6 and 6
which is 6
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Finding IQR from Dot Plots (Even number of scores)
Keep the line
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Finding IQR from Dot Plots (Even number of scores)
Now you have to find the Lower and Upper
Quartile by dividing the Dot Plot in two
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Finding IQR from Dot Plots (Even number of scores)
**It is very important to divide the sides properly
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Finding IQR from Dot Plots (Even number of scores)
To do this, count the dots from the start until you
reach the Line
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
Stop here!
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Finding IQR from Dot Plots (Even number of scores)
Now put a Border around the dots that you
just counted
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Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
Now put a Border around the other side
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Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
This is how you Correctly divide the
sides
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Finding IQR from Dot Plots (Even number of scores)
Notice there are 9 dots on each side
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Finding IQR from Dot Plots (Even number of scores)
9 here
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Finding IQR from Dot Plots (Even number of scores)
9 here
And 9 here
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Finding IQR from Dot Plots (Even number of scores)
This is the INCORRECT
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Finding IQR from Dot Plots (Even number of scores)
This is the INCORRECT
Do you notice the difference?
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
This is the INCORRECT
There are 10 dots here
There are 8 dots here
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Finding IQR from Dot Plots (Even number of scores)
Now find the Median for both sides of the dots
by crossing off each side at a time
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Finding IQR from Dot Plots (Even number of scores)
We will start with this side (it doesn’t matter
which side)
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Finding IQR from Dot Plots (Even number of scores)
Remember the directions
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
So the Lower Quartile (Q1) is 5
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Finding IQR from Dot Plots (Even number of scores)
Lower Quartile: 5
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Finding IQR from Dot Plots (Even number of scores)
Lower Quartile: 5
Now do the same to the other side by crossing off
the scores
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
Lower Quartile: 5
Remember the directions
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
Lower Quartile: 5
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
Lower Quartile: 5
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
Lower Quartile: 5
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
Lower Quartile: 5
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
Lower Quartile: 5
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
Lower Quartile: 5
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
Lower Quartile: 5
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
Lower Quartile: 5
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
Lower Quartile: 5
So the Upper Quartile (Q3) is 6
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Finding IQR from Dot Plots (Even number of scores)
Lower Quartile: 5Upper Quartile: 6
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
Lower Quartile: 5Upper Quartile: 6
So, Interquartile Range:
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
Lower Quartile: 5Upper Quartile: 6
So, Interquartile Range:
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
Lower Quartile: 5Upper Quartile: 6
So, Interquartile Range:
6 -
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
Lower Quartile: 5Upper Quartile: 6
So, Interquartile Range:
6 -
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
Lower Quartile: 5Upper Quartile: 6
So, Interquartile Range:
6 - 5
1 2 3 4 5 6 7
Finding IQR from Dot Plots (Even number of scores)
Lower Quartile: 5Upper Quartile: 6
So, Interquartile Range:6 - 5= 1 Our Final
Answer!