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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

Short Answer

Expert verified

The IQR is 15

Step by step solution

01

Given information

338318353313318326307317311311

02

Concept

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).

03

Explanation

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 Q1=311and the minimum: Q3:326

IQR is calculated as: Q3−Q1=IQR

After you've entered all of the values,

326−311=15

Thus, IQR=15

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