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Education pays off, according to some data from the Bureau of Labor Statistics. The median weekly earnings and the unemployment rates for eight different levels of education are shown in the table. \({ }^{10}\) $$ \begin{array}{lcc} \hline & & \text { Median } \\ \text { Educational } & \text { Unemployment } & \text { Usual Weekly } \\ \text { Attainment } & \text { Rate (\%) } & \text { Earnings (\$) } \\ \hline \text { Doctoral degree } & 1.6 & 1,664 \\ \text { Professional degree } & 1.6 & 1,745 \\ \text { Master's degree } & 2.4 & 1,380 \\ \text { Bachelor's degree } & 2.7 & 1,156 \\ \text { Associate degree } & 3.6 & 819 \\ \text { Some college, no degree } & 4.4 & 756 \\ \text { High school diploma } & 5.2 & 692 \\ \text { Less than a high school } & 7.4 & 504 \\ \text { diploma } & & \end{array} $$ Note: Data are for persons age 25 and over. Earnings are for full-time wage and salary workers Source: Current Population Survey, U.S. Department of Labor, U.S. Bureau of Labor Statistics, April 20,2017 a. Draw a bar chart to describe the unemployment rates as they vary by education level b. Draw a bar chart to describe the median weekly earnings as they vary by education level. c. Summarize the information using the graphs in parts a and b.

Short Answer

Expert verified
Answer: The trends and patterns observed in the data reveal that higher educational attainment is associated with lower unemployment rates and higher median weekly earnings. This indicates the positive impact of higher education on employment opportunities and income levels, emphasizing the importance of pursuing higher education for overall economic well-being.

Step by step solution

01

Draw the unemployment rates bar chart

To draw the unemployment rates bar chart, plot the unemployment rates on the y-axis and educational attainment on the x-axis. Ensure to label the axes and give the chart an appropriate title.
02

Draw the median weekly earnings bar chart

To draw the median weekly earnings bar chart, plot the median weekly earnings on the y-axis and educational attainment on the x-axis. Similar to the first chart, label the axes and give the chart an appropriate title.
03

Summarize the information using the bar charts

Observe the trends shown in both bar charts. Identify the relationship between educational attainment and unemployment rates, and between educational attainment and median weekly earnings. Use the information to write a summary of the findings, including any patterns or notable insights observed from the data.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Unemployment Rate by Education Level
Understanding the unemployment rate by education level is essential for recognizing the value of educational investment. The Bureau of Labor Statistics data reveals a clear trend: higher education levels correspond to lower unemployment rates. For instance, individuals with doctoral degrees experience a lower unemployment rate of only 1.6%, while those with less than a high school diploma face a significant rate of 7.4%.

This information is critical for students and job seekers, as it emphasizes the importance of continuing education to enhance job security. By acquiring higher-level degrees, they not only expand their knowledge but also increase their marketability and reduce the likelihood of unemployment.
Median Weekly Earnings by Education Level
The median weekly earnings by education level present a clear financial incentive for pursuing higher education. The data from the Bureau of Labor Statistics shows that earnings increase substantially with each higher educational tier. Those with doctoral degrees have a median earning of \(1,664 per week, while professional degree holders earn \)1,745 per week. On the other end of the spectrum, individuals who have not completed high school earn just $504 weekly.

From a student's perspective, this rising scale provides a concrete metric for the potential financial returns on educational investments. Investing in higher education can lead not only to personal and professional development but also to higher economic stability and success.
Data Visualization in Statistics
Data visualization is a powerful tool in statistics, making complex data more accessible and understandable. Bar charts, as used in depicting the unemployment rate and weekly earnings by education level, allow us to quickly grasp trends and make comparisons. When crafting bar charts, clarity is essential; this includes labeling axes correctly and providing descriptive titles.

Incorporating color and sorting the data from highest to lowest (or vice versa) can enhance comprehension. For educational platforms, ensuring these visual representations are well-designed will significantly aid students in analyzing and interpreting statistical information effectively.
Relationship Between Education and Earnings
The relationship between education and earnings is both intuitive and well-supported by data. Statistics show that as educational attainment increases, median weekly earnings tend to rise. This correlation, illustrated by the Bureau of Labor Statistics' data, serves as evidence of the monetary benefits that come with higher education degrees.

Understanding this relationship is vital for students making decisions about their educational paths. It highlights the potential for increased earning power as a result of higher education and underscores the value of educational advancement in terms of long-term career success and financial security.

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Most popular questions from this chapter

The social networking site Facebook has grown rapidly in the last 10 years. The following table shows the average number of daily users (in millions) as it has grown from 2010 to 2017 in different regions in the world. \(^{3}\) $$\begin{array}{lrc}\hline \text { Region } & 2010 & 2017 \\\\\hline \text { United States/Canada } & 99 & 183 \\\\\text { Europe } & 107 & 271 \\\\\text { Asia } & 64 & 453 \\\\\text { Rest of the world } & 58 & 419 \\ \hline \text { Total } & 328 & 1,326 \\\\\hline\end{array}$$ How would you describe the changes in the distribution of average daily users during this 7 -year period?

The test scores on a l00-point test were recorded for 20 students. Construct a relative frequency distribution for the data, using 6 classes of width \(8,\) and starting at \(52 .\) Then answer the questions. $$ \begin{array}{llllllllll} 61 & 93 & 91 & 86 & 55 & 63 & 86 & 82 & 76 & 57 \\ 94 & 89 & 67 & 62 & 72 & 87 & 68 & 65 & 75 & 84 \end{array} $$ Is the shape of the distribution unusual? Can you think of any reason that the scores would have such a shape?

Determine whether the data collected represents a population or a sample. The income distribution of the top \(10 \%\) of wage earners in the United States is determined using data from the Internal Revenue Service.

Use the following set of data to answer the questions. $$ \begin{array}{llllll} 4.5 & 3.2 & 3.5 & 3.9 & 3.5 & 3.9 \\ 4.3 & 4.8 & 3.6 & 3.3 & 4.3 & 4.2 \\ 3.9 & 3.7 & 4.3 & 4.4 & 3.4 & 4.2 \\ 4.4 & 4.0 & 3.6 & 3.5 & 3.9 & 4.0 \end{array} $$ Draw a stem and leaf plot, using the number in the ones place as the stem.

Use the information given to find a convenient class width. Then list the class boundaries that can be used to create a relative frequency histogram. 7 classes for \(n=50\) measurements; minimum value \(=10 ;\) maximum value \(=110\)

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