Creating Box and Whisker Plots Exercises

1. (b)

   
   

The minimum of the box plot is 54.

We can eliminate one of the data sets because it does not have a minimum of 54.

$53, 60,65, 66, 67, 69, 70, 72, 73, 75, 76$

The median of the box plot is 69.

We can eliminate two of the data sets because they do not have a median to 69.

$54, 60, 65, 66, 67, 70, 72, 73, 75, 76$

$54, 60, 63, 66, 67, 68, 72, 73, 75, 76$

The following data set could be represented by the box plot.

$54, 60, 65, 66, 67, 69, 70, 72, 73, 75, 76$

2. (b)

3. (a)

   The maximum of the box plot is 19.

   We can eliminate one of the data sets because it does not have a maximum of 19

   $1, 3, 6, 8, 10, 11, 13, 13, 16, 18, 20$

   The median of the box plot is 12.

   We can eliminate two of the data sets because they do not have a median of 12

   $1, 3, 6, 8, 10, 11, 13, 13, 16, 18, 19$

   $1, 3, 6, 8, 10, 11, 13, 13, 18, 18, 19$

   The following data set could be represented by the box plot.

   $1, 3, 6, 8, 10, 12, 13, 13, 16, 18, 19$

   
   

4. (a)

   $24, 25, 29, 30, 31, 31, 32,34, 34$

   Min = 24

   Media = 31

   Max = 34

   $24, 25, 29, 30, 31, 31, 32,34, 34$

   $Q_1 = \frac{25+29}{1}=27$

   $Q_3 = \frac{32+34}{2}=33$

   The following box plot correctly summarizes the data.