Result:
The interquartile range for the data is:
4
Detailed explanation:
A data set is provided as:
0, 2, 4, 0, 2, 3, 2, 8, 6
Arranging this data in ascending order results in:
0 0 2 2 2 3 4 6 8
The lowest value in the data set=0
Highest value in the data set is: 8
Data set's range= Highest value-Lowest value
i.e. Range= 8-0
i.e. Range= 8
The median, which represents the central value of the data, is calculated as:
Median= 2
The lower half of the data consists of:
0 0 2 2
Hence, the median of this lower half is the lower quartile or first quartile.
Thus, 
Therefore, 
Thus, Lower quartile=1
Similarly, the upper half of the data includes:
3 4 6 8
Consequently, the median for this upper half is the upper quartile or third quartile.
Thus, 
Thus, 
Therefore, Upper quartile=5
Thus, the interquartile range (IQR) can be expressed as:
IQR=Upper quartile-Lower quartile
IQR=5-1
IQR=4