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- Mr Kim
Finding IQR for odd number of scores
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0 1 2 3 4 5
Here is a Dot Plot
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First, find the Median by crossing off the dots
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Start by crossing off the Bottom dot from the
Smallest Score
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Start by crossing off the Bottom dot from the
Smallest Score
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0 1 2 3 4 5
Now cross off the Top dot from the Biggest Score
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Now cross off the Top dot from the Biggest Score
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0 1 2 3 4 5
Cross off the dots in the directions shown
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“In”
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“Out”
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“In”
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“Out”
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“In”
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“Out”
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“In”
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“Out”
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“In”
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“Out”
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“In”
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“Out”
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“In”
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“Out”
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“In”
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“Out”
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Stop here
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Always stop at “Out”
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So the Median (Q2) is 3
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Now divide the Dot Plot in two
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**It is very important to divide the sides properly
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To do this, count the dots from the start until you
reach the Median
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0 1 2 3 4 5
0 1 2 3 4 5
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0 1 2 3 4 5
Stop here!
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Now put a Border around the dots that you just
counted
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Now put a Border around the other side
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This is how you correctly divide the sides
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Notice there are 9 dots on each side
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9 in here
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And 9 in here
9 in here
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This is the INCORRECT
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There are 7 dots in here
There are 11 dots in here
This is the INCORRECT
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Now find the Median for both sides of the dots
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Start with this side
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Remember the directions
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“In”
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“Out”
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“In”
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“Out”
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“In”
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“Out”
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“In”
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“Out”
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Stop here
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So the Lower Quartile (Q1) is…
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So the Lower Quartile (Q1) is1
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Lower Quartile: 1
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Lower Quartile: 1
Now do the same to the other side
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Lower Quartile: 1
Remember the directions
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Lower Quartile: 1
“In”
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Lower Quartile: 1
“Out”
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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”
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Lower Quartile: 1
Stop here
0 1 2 3 4 5
Lower Quartile: 1
So the Upper Quartile (Q3)is …
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Lower Quartile: 1
So the Upper Quartile (Q3)is 4
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Lower Quartile: 1 Upper Quartile: 4
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Lower Quartile: 1
So the Interquartile Range is:
Upper Quartile: 4
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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
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Lower Quartile: 1
So the Interquartile Range is:4 –
Upper Quartile: 4
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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
