Textbook Question
Building Basic Skills and Vocabulary
The length of a guest lecturer’s talk represents the third quartile for talks in a guest lecture series. Make an observation about the length of the talk.
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Ch. 2 - Descriptive Statistics
Larson8th EditionElementary Statistics: Picturing the WorldISBN: 9780137493470
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Table of contents
- Ch. 1 - Introduction to Statistics87
- Ch. 2 - Descriptive Statistics176
- Ch. 3 - Probability184
- Ch. 4 - Discrete Probability Distributions102
- Ch. 5 - Normal Probability Distributions183
- Ch. 6 - Confidence Intervals154
- Ch. 7 - Hypothesis Testing with One Sample165
- Ch. 8 - Hypothesis Testing with Two Samples134
- Ch. 9 - Correlation and Regression87
- Ch. 10 - Chi-Square Tests and the F-Distribution87
Larson8th EditionElementary Statistics: Picturing the WorldISBN: 9780137493470Not the one you use?Change textbook
Chapter 2, Problem 2.1.10
Determine whether the statement is true or false. If it is false, rewrite it as a true statement.
Class boundaries ensure that consecutive bars of a histogram touch.
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Understand the concept of class boundaries: Class boundaries are the values that separate classes in a frequency distribution. They are used to ensure there are no gaps between consecutive classes in a histogram.
Recall that in a histogram, the bars represent the frequency of data within each class interval. To make the bars touch, the upper boundary of one class must align with the lower boundary of the next class.
Analyze the given statement: 'Class boundaries ensure that consecutive bars of a histogram touch.' This statement is true because class boundaries are specifically designed to eliminate gaps between intervals.
If the statement were false, a corrected version would be: 'Class boundaries are used to eliminate gaps between class intervals, ensuring that consecutive bars of a histogram touch.'
Conclude that the statement is true as written, and no further rewriting is necessary.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Class Boundaries
Class boundaries are the values that separate classes in a frequency distribution. They are used to define the intervals for grouping data points, ensuring that there are no gaps between the classes. For example, if one class is 10-20, the class boundary would be 20, which is the starting point of the next class.
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Histograms
A histogram is a graphical representation of the distribution of numerical data, where data is grouped into bins or intervals. The height of each bar represents the frequency of data points within that interval. In a histogram, class boundaries are crucial because they determine where one bar ends and another begins, ensuring that the bars touch if the data is continuous.
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05:54Intro to Histograms
Continuous Data
Continuous data refers to numerical data that can take any value within a given range. This type of data is often represented in histograms where the intervals are adjacent, reflecting the idea that there are no gaps between the values. When dealing with continuous data, it is essential for the bars in a histogram to touch, as this visually indicates the continuity of the data.
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Related Practice
Textbook Question
Using and Interpreting Concepts
Finding and Discussing the Mean, Median, and Mode In Exercises 17–34, find the mean, the median, and the mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why.
Weights (in pounds) of Packages on a Delivery Truck
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Textbook Question
Finding a Weighted Mean In Exercises 41– 46, find the weighted mean of the data.
Final Grade The scores and their percents of the final grade for a statistics student are shown below. What is the student’s mean score?
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Textbook Question
Interpreting Percentiles In Exercises 29–32, use the ogive, which represents the cumulative frequency distribution for quantitative reasoning scores on the Graduate Record Examination in a recent range of years. (Adapted from Educational Testing Service)
What score represents the 65th percentile? How should you interpret this?
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Textbook Question
Using Technology to Find Quartiles and Draw Graphs In Exercises 23–26, use technology to draw a box-and-whisker plot that represents the data set.
Hourly Earnings The hourly earnings (in dollars) of a sample of 21 employees at a consulting firm
25.89 27.09 31.76 28.28 26.19 27.43 24.06
25.61 22.56 29.76 18.01 23.66 38.24 37.27
32.70 31.12 25.87 15.06 23.12 30.62 19.85
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Textbook Question
Finding a Weighted Mean In Exercises 41– 46, find the weighted mean of the data.
Credit Card Balance For the month of October, a credit card has a balance of \$115.63 for 12 days, \$637.19 for 6 days, \$1225.06 for 7 days, \$0 for 2 days, and \$34.88 for 4 days. What is the account’s mean daily balance for October?
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