IQR of $$$6$$$, $$$7$$$, $$$8$$$, $$$9$$$
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Your Input
Find the IQR of $$$6$$$, $$$7$$$, $$$8$$$, $$$9$$$.
Solution
The interquartile range (IQR, midspread, middle $$$50$$$%, H-spread) is equal to the difference between the percentile no. $$$75$$$ and the percentile no. $$$25$$$, or between the upper and lower quartiles.
The percentile no. $$$25$$$ is $$$\frac{13}{2}$$$ (for steps, see percentile calculator).
The percentile no. $$$75$$$ is $$$\frac{17}{2}$$$ (for steps, see percentile calculator).
Finally, $$$IQR = \frac{17}{2} - \frac{13}{2} = 2$$$.
Answer
The IQR is $$$2$$$A.