Question

Stem plot Use the amounts of arsenic from Exercise 1 to construct a stem plot.

Short answer

The given stem plot is constructed for the frequency distribution table of the amount of arsenic (microgram per serving) in brown rice servings:

1.|5

2.|

3.|

4.|9

5.|44

6.|13679

7.|38

8.|2

Step-by-step solution

Given information

The sample contains the amounts of arsenic (in microgram per serving) present in 12 servings of brown rice.

Description of stem plot

Partitioning the data values into two parts and then graphically arranging their results in astem plot or stem-and-leaf plot. The stem is generally the initial digit(s) of the numerical observation, while the leaf is the latter part of the numerical value.

Steps to construct a stem plot

The given sample data is used to construct the stem plot:

Amount of Arsenic (in microgram per serving)
6.1
5.4
6.9
4.9
6.6
6.3
6.7
8.2
7.8
1.5
5.4
7.3

The following steps are used to construct a stem plot:

• Arrange your data in ascending order.
• Divide your observations into two parts, one stem, and another leaf.
• Here, the whole number to the left of the decimal is a stem, while the other is a leaf.
• Create a vertical bar dividing the stems from the leaves.
• Write the stems of each observation on the left side of the bar.
• Write the leaves (in order) of each stem on the right side of the bar.

The required stem plot

The key of the stem plot is an example of how the observations are written.

In this case, the key of the stem plot would be 1. |5 represents the amount of arsenic equal to 1.5 (mg per serving).

The following stem plot is created for the data written above along with its key:

1.|5

2.|

3.|

4.|9

5.|44

6.|13679

7.|38

8.|2

Key: 1. |5 equals 1.5 (mg per serving).