Question

What is the iqr (inter quartile range) for the data set? 27, 4, 54, 78, 27, 48, 79, 64, 5, 6, 41, 71?

Answer 1

The answer's 51 :)

Explanation:

Answer 2

Explanation:

The given data set is:

27, 4, 54, 78, 27, 48, 79, 64, 5, 6, 41, 71

Firstly, arrange the given data set in ascending order, we get

4, 5, 6, 27, 27, 41, 48, 54, 64, 71, 78, 79

Now, the first half of the given data set is 4, 5, 6, 27, 27, 41 , thus the middle value is Lower quartile that is:

`Lower quartile=(6+27)/(2)=(33)/(2)=16.5`

And, the second half of the given data set is 48, 54, 64, 71, 78, 79, thusthe middle value is the upper quartile that is:

`Upper quartile=(64+71)/(2)=(135)/(2)=67.5`

Now, Interquartile range is given as:

`IQR=Upper Quartile-Lower quartile`

=
`67.5-16.5`

=
`51.0`

Thus, the Interquartile range is 51.