Construct a stem-and-leaf display for the hours that 20...

Construct a stem-and-leaf display for the hours that 20 students spent studying for a marketing test.

$$
\begin{array}{llllllllll}
\hline 3.5 & 2.8 & 4.5 & 6.2 & 4.8 & 2.3 & 2.6 & 3.9 & 4.4 & 5.5 \\
5.2 & 6.7 & 3.0 & 2.4 & 5.0 & 3.6 & 2.9 & 1.0 & 2.8 & 3.6 \\
\hline
\end{array}
$$

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Key Concepts

Sorting Data

Sorting data is a critical step in constructing a stem-and-leaf display because it organizes the values in sequential order. This arrangement is essential to accurately identify the range, frequency, and patterns within the dataset when forming the stem and leaf components.

Data Distribution

Data distribution refers to how data values are spread or clustered across intervals. By using a stem-and-leaf plot, you can observe characteristics such as symmetry, skewness, or uniformity in the dataset, which aids in understanding the underlying trends in the data.

Stem-and-Leaf Plot

A stem-and-leaf plot is a method for displaying quantitative data in a graphical format that preserves the original data values. This plot divides each data point into a stem (usually representing the leading digit or digits) and a leaf (usually the last digit), making it easy to view the overall distribution while maintaining detailed data information.

Data Visualization

Data visualization involves representing data graphically to help identify patterns, trends, and outliers. In the context of a stem-and-leaf plot, visualization is used to display the distribution of values in an organized manner, facilitating the analysis of central tendency and spread.

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