Question

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

Answer 1

If the data set represents the number of rings each person is wearing, being: 0,2,4,0,2,3,2,8,6, the interquartile range of the data is 2. Being, 4 as the Q1, 3 as the Q2 or median, and 6 as the Q3. Where the formula of getting the interquartile range is IQR= Q1-Q2.

Answer 2

the interquartile range of the data is:

4

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.
`Q_1`

Hence,
`Q_1=(0+2)/(2)\\\\\\Q_1=(2)/(2)\\\\\\Q_1=1`

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.
`Q_3`

Hence,
`Q_3=(4+6)/(2)\\\\\\Q_3=(10)/(2)\\\\\\Q_3=5`

Hence, Upper quartile=5

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

IQR=Upper quartile-Lower quartile

IQR=5-1

IQR=4