Q.2.101 - Elementary Statistics

Question

Detroit Tigers. From the Baseball Almanac website, we found the heights, in inches, of the players on the 2012 World Series runner-up Detroit Tigers baseball team.

Use the graph to answer the following questions. Note that cholesterol levels are always expressed as whole numbers.

a. Construct a stem-and-leaf diagram of these data with five lines per stem.

b. Why is it better to use five lines per stem here instead of one or two lines per stem?

Step-by-Step Solution

Answer

a). The stem-and-leaf diagram is,

b). The five lines per stem provides more understandable distribution. 

Part (a) Step 1: Given Information

The data is given as,

Part (a) Step 2: Explanation

The stem-and-leaf diagram is,

Part (b) Step 1: Given Information

The data is given as,

Part (b) Step 2: Explanation

When only $1$ or $2$ lines per stem are used, the distribution of data values is not visible in the stem and leaf diagram;