/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 18 The U.S. Department of Education... [FREE SOLUTION] | 91Ó°ÊÓ

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The U.S. Department of Education reported that \(14 \%\) of adults were classified as being below a basic literacy level, \(29 \%\) were classified as being at a basic literacy level, \(44 \%\) were classified as being at an intermediate literacy level, and \(13 \%\) were classified as being at a proficient level (2003 National Assessment of Adult Literacy). a. Is the variable literacy level categorical or numerical? b. Would it be appropriate to display the given information using a dotplot? Explain why or why not. c. Construct a bar chart to display the given data on literacy level.

Short Answer

Expert verified
a. Literacy level is a categorical variable. b. It's not appropriate to display the data using a dotplot as the variable is categorical. c. A bar chart with the literacy levels on x-axis and their percentages on y-axis can be used to visualize the data.

Step by step solution

01

Identify the Type of Variable

Literacy level is a categorical variable as it describes categories or groups rather than quantities.
02

Justify the Appropriateness of a Dotplot

Dotplots are typically used for displaying small sets of numerical data, not categorical. Hence, it's not appropriate to display the given information using a dotplot since literacy level is a categorical variable.
03

Construct a Bar Chart

To display the literacy levels, use a bar chart. Label the x-axis with the 4 categories of literacy levels: below basic, basic, intermediate, and proficient. Label the y-axis with the percentages and draw 4 bars corresponding to the 4 literacy levels according to their respective percentages.

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