Answer:
the interquartile range of the data is:
4
Step-by-step explanation:
We are given a data set as:
0, 2, 4, 0, 2, 3, 2, 8, 6
On arranging the data in the ascending i.e. increasing order is given by:
0 0 2 2 2 3 4 6 8
The minimum value of data set=0
Maximum value of data set is: 8
Range of data set= Maximum value-Minimum value
i.e. Range= 8-0
i.e. Range= 8
Also, Median of set is the central tendency of the data and is given by:
Median= 2
Lower set of data is:
0 0 2 2
Hence, The median of lower set of data is the lower quartile or first quartile.
i.e. [tex]Q_1[/tex]
Hence, [tex]Q_1=\dfrac{0+2}{2}\\\\\\Q_1=\dfrac{2}{2}\\\\\\Q_1=1[/tex]
Hence, Lower quartile=1
Similarly upper set of data is:
3 4 6 8
Hence, The median of upper set of data is the upper quartile or third quartile.
i.e. [tex]Q_3[/tex]
Hence, [tex]Q_3=\dfrac{4+6}{2}\\\\\\Q_3=\dfrac{10}{2}\\\\\\Q_3=5[/tex]
Hence, Upper quartile=5
Hence, the interquartile range(IQR) is given by:
IQR=Upper quartile-Lower quartile
IQR=5-1
IQR=4
