# Describing distributions

Perception of EEO in Division Stem-and-Leaf Plot {see attachment for distributions}

Discussion

The data is based on five questions about EEO with the Columbus Fire Division that were asked on potential job applicants. Each item was a statement about EEO within the Fire Division Response were made on a five point scale from (1) "strongly aprove" (5) "strongly disapprove" The following stem-and leaf plots show the distribution of scores for each person's average on the five EEO items.

Review the results and describe each distribution. How are these distributions different? How are they similar? Is the sample size the same for each?

#### Solution Preview

I've pasted this information from a Word document which is attached - the information is identical, so read it in whichever program is easier for you to use. (It's lost a bit of formatting in this version, so I'd suggest you use the attachment instead).

1. Describe each distribution.

Remember that a stem and leaf plot is like a histogram turned on its side. It tells you the frequency of each score; it is another form of a frequency distribution. If you were looking at a histogram, you would eye it up to see if the distribution was normally distributed or not. You can do the same with a stem and leaf. It may help you to mentally rotate the display 90 degrees counter-clockwise (so that it would look like a histogram with the bins (or ranges of scores) on the horizontal axis). Imagine a curve (just like on a graph) that follows the shape of the numbers. Once you've done that, you should be able to eye it up to describe the distribution. Is it normally distributed (ie. is the curve highest in the middle, and does it gradually decrease at an equal rate as the scores spread to each ...

#### Solution Summary

Explains the differences and similarities between two distributions. Uses stem and leaf plots.