The data set represents the number of rings each person in a room is wearing.
0, 2, 4, 0, 2, 3, 2, 8, 6
what is the interquartile range of the data?
2
3
4
6

the interquartile range of the data is:

                                   4

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.

Hence,

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.

Hence,

Hence, Upper quartile=5

Hence, the interquartile range(IQR) is given by:

IQR=Upper quartile-Lower quartile

IQR=5-1

                                    IQR=4