Q21 Expanded Stemplots A stemplot ca... [FREE SOLUTION]

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Chapter 2: Q21 (page 66)

Expanded Stemplots A stemplot can be condensed by combining adjacent rows. We could use a stem of 鈥�6鈥�7鈥� instead of separate stems of 6 and 7. Every row in the condensed stemplot should include an asterisk to separate digits associated with the different stem values. A stemplot can be expanded by subdividing rows into those with leaves having digits 0 through 4 and those with leaves having digits 5 through 9. Using the body temperatures from 12 AM on Day 2 listed in Data Set 3 鈥淏ody Temperatures鈥� in Appendix B, we see that the first three rows of an expanded stemplot have stems of 96 (for leaves between 5 and 9 inclusive), 97 (for leaves between 0 and 4 inclusive), and 97 (for leaves between 5 and 9 inclusive). Construct the complete expanded stemplot for the body temperatures from 12 AM on Day 2 listed in Data Set 3 鈥淏ody Temperatures鈥� in Appendix B.

Short Answer

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The following stemplot is constructed:

Step by step solution

Given information

Data are given on the body temperatures (in degrees Fahrenheit) recorded on Day 2 at midnight.

Expanded stemplot

An expanded stem plot is constructed by splitting each stem into parts, one part containing leaves from 0 to 4 and the other part containing leaves from 5 to 9.

Such a stemplot makes it easy to comprehend the important features of a dataset consisting of a large set of values.

Construction of the stemplot

Follow the given steps to make the expanded stemplot:

Arrange the data values in ascending order. The values begin from 96.5, 96.9, up to a maximum value of 99.6.
Consider the tens and the ones part as the stem and the first decimal place as the leaf.
Draw a vertical line in the middle.
Write the stems on the left and the leaves on the right by writing all the leaves between 0 to 4 on one stem and the leaves from 5 to 9 on the other stem.
For example, the values 97.0, 97.1, 97.2, 97.3, and 97.4 are included in one stem. The values 97.5, 97.6, 97.7, 97.8, and 97.9 are included in the next stem.
Devise the key of the plot.

The following stemplot is constructed: