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The number of tie-breaking votes cast by each of the 21 vice presidents of the United States who served during the twentieth century are shown. Draw a histogram for this data: 0, 0, 4, 10, 0, 2, 3, 3, 4, 1, 7, 8, 0, 4, 2, 0, 0, 1, 7, 0, 4

The number of tie-breaking votes cast by each of the 21 vice presidents of the United States who served during the twentieth century are shown. Draw a histogram for this data: 0, 0, 4, 10, 0, 2, 3, 3, 4, 1, 7, 8, 0, 4, 2, 0, 0, 1, 7, 0, 4

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Title: Analyzing Tie-Breaking Votes by U.S. Vice Presidents of the 20th Century** **Introduction:** The following data represents the number of tie-breaking votes cast by each of the 21 Vice Presidents of the United States who served during the twentieth century. **Data Set:** 0, 0, 4, 10, 0, 2, 3, 3, 4, 1, 7, 8, 0, 4, 2, 0, 0, 1, 7, 0, 4 **Instructions:** To better visualize and analyze this data, a histogram can be drawn. This will help to understand the distribution of tie-breaking votes among the Vice Presidents during this period. **Steps to Create a Histogram:** 1. **Determine the Range:** - Identify the smallest and largest number of tie-breaking votes. In this data set, the range is from 0 to 10. 2. **Choose Suitable Bin Intervals:** - You could create bins such as 0-1, 2-3, 4-5, 6-7, 8-9, and 10 to categorize the data effectively. 3. **Tally the Frequencies:** - Count how many data points fall into each bin. For example, count how many Vice Presidents cast 0 or 1 tie-breaking votes, and so on. 4. **Draw the Histogram:** - On the horizontal axis, place the bin intervals. - On the vertical axis, indicate the frequency of votes in each bin. - Draw bars for each bin with heights corresponding to their frequencies. **Conclusion:** Creating a histogram from this data will allow for a straightforward comparison of the number of tie-breaking votes cast by Vice Presidents. This visualization helps in recognizing patterns, such as the frequency of Vice Presidents who didn’t cast any tie-breaking votes, those who cast a moderate number, and any outliers who cast a significantly higher number. By analyzing the histogram, one can gain insights into how often Vice Presidents were called upon to break ties in the Senate during the twentieth century, providing a glimpse into the political landscape and the role of the Vice Presidency in this era.
Transcribed Image Text:**Title: Analyzing Tie-Breaking Votes by U.S. Vice Presidents of the 20th Century** **Introduction:** The following data represents the number of tie-breaking votes cast by each of the 21 Vice Presidents of the United States who served during the twentieth century. **Data Set:** 0, 0, 4, 10, 0, 2, 3, 3, 4, 1, 7, 8, 0, 4, 2, 0, 0, 1, 7, 0, 4 **Instructions:** To better visualize and analyze this data, a histogram can be drawn. This will help to understand the distribution of tie-breaking votes among the Vice Presidents during this period. **Steps to Create a Histogram:** 1. **Determine the Range:** - Identify the smallest and largest number of tie-breaking votes. In this data set, the range is from 0 to 10. 2. **Choose Suitable Bin Intervals:** - You could create bins such as 0-1, 2-3, 4-5, 6-7, 8-9, and 10 to categorize the data effectively. 3. **Tally the Frequencies:** - Count how many data points fall into each bin. For example, count how many Vice Presidents cast 0 or 1 tie-breaking votes, and so on. 4. **Draw the Histogram:** - On the horizontal axis, place the bin intervals. - On the vertical axis, indicate the frequency of votes in each bin. - Draw bars for each bin with heights corresponding to their frequencies. **Conclusion:** Creating a histogram from this data will allow for a straightforward comparison of the number of tie-breaking votes cast by Vice Presidents. This visualization helps in recognizing patterns, such as the frequency of Vice Presidents who didn’t cast any tie-breaking votes, those who cast a moderate number, and any outliers who cast a significantly higher number. By analyzing the histogram, one can gain insights into how often Vice Presidents were called upon to break ties in the Senate during the twentieth century, providing a glimpse into the political landscape and the role of the Vice Presidency in this era.
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