Q 2.4. - The Practice of Statistics for AP

Question

The $2009$ roster of the Dallas Cowboys professional football team included $10$ offensive linemen. Their weights (in pounds) were $338 318 353 313 318 326 307 317 311 311$

Draw a boxplot of the data. 

Step-by-Step Solution

Answer

The minimum: $307$

$Q_1: 311$

The median: $317.5$

$Q_3: 324$

The maximum:$353$

Step 1: Given information

The provided information is:

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

Step 2: Concept

The five-number summary includes five items:

The minimum.

$Q_1$ (the first quartile, or the $25\%$ mark).

The median.

$Q_3$ (the third quartile, or the $25\%$ mark).

The maximum.

Step 3: Calculation

The provided information is:

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

Graph: 

The above graph describes that:

• The minimum: $307$
• $Q_1 : 311$
• The median: $317.5$
• $Q_3 : 324$
• The maximum: $353$