Question

The data are the distances (in km) from a home to local supermarkets. Create a stemplot using the

data:
1.3, 1.9, 2.1, 2.2, 2.6, 2.6, 2.7, 2.9, 3.3, 3.3, 4.2, 4.2, 4.3, 4.5, 5.4, 5.5, 5.8, 6.4, 6.9, 12.3
Complete the stemplot below and determine the shape of it's distribution

Answer 1

`\begin{array}l\text{Stem} & \text{Leaf}\\\cline{1-2}1 & 3,9\\2 & 1,2,6,6,7,9\\3 & 3,3\\4 & 2,2,3,5\\5 & 4,5,8\\6 & 4,9\\7 & \\8 & \\9 & \\10 & \\11 & \\12 & 3\\\end{array}\\\\\text{Key:} \ 4 | 3 = 4.3`

Step-by-step explanation:

The stems represent the whole part of the number. The stems range from 1 to 12 including both endpoints. Each leaf is the decimal portion of the number. Specifically it's the tenths place.

We join each stem and leaf to form the data value. For example, the key says to join a stem of "4" with a leaf of "3" to get the number 4.3

As the stem-and-leaf plot shows, the distribution is skewed in the positive direction. If we rotated the distribution sideways, then we will see the distribution is skewed to the right. This is due to the outlier 12.3; the majority of the values are clustered between 1.3 and 6.9

This will give the distribution a shape of a long stretched out tail on the right. Removing the outlier will help make the shape more symmetric.