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In a box plot, there is a middle (which is the median of the data set), and the upper and lower quartile ranges.
For example, if your data set was:
1,4,7,10,14,17,18
10 would be your median because it is in the middle.
The lower quartile range would be set out like this:
1,(4),7
4 is your lower quartile because it is in the middle of the lower quartile.
The upper quartile range would be set out like this:
14,(17),18
17 is your upper quartile because it is in the middle of the upper quartile.
To find the interquartile range, you do 17-4, because those are your lower and upper quartile medians. This would get you 13, which in this case would be your interquartile range.
For example, if your data set was:
1,4,7,10,14,17,18
10 would be your median because it is in the middle.
The lower quartile range would be set out like this:
1,(4),7
4 is your lower quartile because it is in the middle of the lower quartile.
The upper quartile range would be set out like this:
14,(17),18
17 is your upper quartile because it is in the middle of the upper quartile.
To find the interquartile range, you do 17-4, because those are your lower and upper quartile medians. This would get you 13, which in this case would be your interquartile range.
For example, if your data set was:
1,4,7,10,14,17,18
10 would be your median because it is in the middle.
The lower quartile range would be set out like this:
1,(4),7
4 is your lower quartile because it is in the middle of the lower quartile.
The upper quartile range would be set out like this:
14,(17),18
17 is your upper quartile because it is in the middle of the upper quartile.
To find the interquartile range (IQR), first, find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
What is the interquartile formula?
The formula for finding the interquartile range takes the third quartile value and subtracts the first quartile value. IQR = Q3 – Q1. Equivalently, the interquartile range is the region between the 75th and 25th percentile (75 – 25 = 50% of the data).
Learn more about the interquartile range at
https://brainly.com/question/3966385
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