### Home > INT3 > Chapter 3 > Lesson 3.1.1 > Problem3-23

3-23.

LIAR, LIAR, PANTS...

A random sample of $11$ designer men’s pants and jeans were selected from a department store. The marked size of the waist and the actual (measured) size of the waistbands were recorded (inches) and the difference in the measurements was computed. 3-23 HW eTool (Desmos). Homework Help ✎

 Measured Marked Difference $37$ $36$ $1$ $36$ $34$ $2$ $41$ $38$ $3$ $38.5$ $36$ $2.5$ $39.5$ $36$ $3.5$ $39$ $36$ $3$ $35.5$ $32$ $3.5$ $39$ $36$ $3$ $38.5$ $36$ $2.5$ $36$ $30$ $6$ $36$ $32$ $4$
1. Create a graphical representation of the data represented in the “difference” column. Use the 3-23 HW eTool (Desmos).

Use the eTool below to solve the problem.
Click the link at right for the full version of the eTool: INT3 3-23 HW eTool

2. Describe the center, shape, spread, and outliers of the distribution.

See the diagram in part (a).

3. What likely conclusions can you draw from this data?

Think of why a company might adjust the sizes of their pants.

Use the eTool below to solve the problem.
Click the link at right for the full version of the eTool: Int3 3-23 HW eTool