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Ch. 2 - Exploring Data with Tables and Graphs
Triola - Elementary Statistics 14th Edition
Triola14th EditionElementary StatisticsISBN: 9780137366446Not the one you use?Change textbook
Chapter 2, Problem 2.CQQ.5

Tornado Alley A stemplot of the same data summarized in Exercise 1 is created, and one of the rows of that stemplot is 3 | 000144669. Identify the values represented by that row of the stemplot.

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1
Understand the structure of a stemplot: A stemplot (or stem-and-leaf plot) is a way to display quantitative data. The 'stem' represents the leading digits (e.g., tens place), and the 'leaf' represents the trailing digits (e.g., ones place).
Interpret the given row: The row '3 | 000144669' means that the stem is '3' and the leaves are '0, 0, 0, 1, 4, 4, 6, 6, 9'. Each leaf is combined with the stem to form a complete number.
Combine the stem and leaves: For each leaf, append it to the stem to form the full values. For example, the first leaf '0' combined with the stem '3' gives the value '30'. Repeat this for all leaves.
List the values: The full values represented by this row are 30, 30, 30, 31, 34, 34, 36, 36, and 39.
Verify the interpretation: Double-check that each leaf has been correctly combined with the stem and that all values are accounted for in the list.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Stemplot

A stemplot, or stem-and-leaf plot, is a graphical representation of quantitative data that organizes values into 'stems' and 'leaves.' The stem represents the leading digit(s) of the data values, while the leaves represent the trailing digits. For example, in the row '3 | 000144669', the stem '3' indicates that all values are in the 30s, and the leaves '000144669' represent the specific values 30, 30, 30, 31, 34, 36, 36, and 39.
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Data Interpretation

Data interpretation involves analyzing and making sense of data presented in various formats, such as stemplots. It requires understanding how to extract meaningful information from the visual representation. In this case, interpreting the stemplot allows us to identify the specific values that fall within the range indicated by the stem, which is crucial for further statistical analysis.
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Visualizing Qualitative vs. Quantitative Data

Quantitative Data

Quantitative data refers to numerical information that can be measured and expressed mathematically. It is often used in statistics to perform calculations, create visualizations, and derive insights. The values represented in the stemplot are quantitative, as they reflect measurable quantities (e.g., counts, measurements) that can be analyzed to understand trends or patterns in the data.
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Related Practice
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In Exercises 9–18, construct the histograms and answer the given questions.


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