The $2009$ roster of the Dallas Cowboys professional football team included $10$ offensive linemen. Their weights (in pounds) were

Calculate the IQR. Interpret this value in the context

$338318353313318326307317311311$

The interquartile range describes the spread of your distribution's middle half. Any distribution that is sorted from low to high is divided into four equal sections by quartiles. The second and third quartiles, or the centre half of your data set, make up the interquartile range (IQR).

$338318353313318326307317311311$

No. of observations: $10$

Following the arrangement of the given data in ascending order:

$307,311,311,313,317,318,318,326,338,353$

Now divides the list into two parts:

$307,311,311,313,317and318,318,326,338,353$

Because each half has five values, finding the sub medians, or first and third quartiles is simple.

So $Q_1=311$and the minimum: $Q_3:326$

IQR is calculated as: $Q_3-Q_1=IQR$

After you've entered all of the values,

$326-311=15$

Thus, $IQR=15$