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Q. 2.2

Expert-verified
Found in: Page 70

### Introductory Statistics

Book edition OER 2018
Author(s) Barbara Illowsky, Susan Dean
Pages 902 pages
ISBN 9781938168208

# The following data show the distances (in miles) from the homes of off-campus statistics students to the college. Create a stem plot using the data and identify any outliers:$0.5;0.7;1.1;1.2;1.2;1.3;1.3;1.5;1.5;1.7;1.7;1.8;1.9;2.0;2.2;2.5;2.6;2.8;2.8;2.8;3.5;3.8;4.4;4.8;4.9;5.2;5.5;5.7;5.8;8.0$

The stem plot of the data is,

Stemleaf

$0|57\phantom{\rule{0ex}{0ex}}1|12233557789\phantom{\rule{0ex}{0ex}}2|0256888\phantom{\rule{0ex}{0ex}}3|58\phantom{\rule{0ex}{0ex}}4|489\phantom{\rule{0ex}{0ex}}5|2578\phantom{\rule{0ex}{0ex}}8|0.$

We may deduce that the distribution is uni-modal and that the modal point is in the 1's interval.
There is also an increase trend at the 5's interval.
See the step by step solution

## Step 1: Given

Here we have

$0.5;0.7;1.1;1.2;1.2;1.3;1.3;1.5;1.5;1.7;1.7;1.8;1.9;2.0;2.2;2.5;2.6;2.8;2.8;2.8;3.5;3.8;4.4;4.8;4.9;5.2;5.5;5.7;5.8;8.0$

## Step 2: Explanation

We've been provided $30$ data points to work with.
This information will be used to create a stem and leaf plot.
The stem and leaf plot shows the summary of the data and makes it simple to see the form of the distribution as well as where the frequency is highest.
To make sense of the data, we divide it into stem and leaf data, where $1|5$ equals $1.5$ and $0|9$ equals .
$0.9$So, we can observe that the data has the maximum frequency at 1's interval.