The box part of the box plot contains all the values between which numbers?

The left edge of the box (Q1) is at 32. The right edge of the box (Q3) is at 37. 

Between 32 and 37

Side Notes:
* Q1 is the first quartile; Q3 is the third quartile
* 25% of the data is below Q1; 75% of the data is below Q3
* 50% of the data is between Q1 and Q3
* The median is the vertical line in the box, which in this case is 36
* The min and max are the left-most and right-most points (27 and 40)
* A "box plot" is also known as a "box and whisker plot"