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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 2.1.16

Tornadoes Listed below are the F-scale intensities of recent tornadoes in the United States. Construct a frequency distribution. Do the intensities appear to have a normal distribution?
Table displaying frequency counts of tornado F-scale intensities in the United States.

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1
Step 1: Identify the range of F-scale intensities from the data provided. The values range from 0 to 4.
Step 2: Create a frequency distribution table. List each unique intensity value in one column and count how many times each intensity appears in the data set.
Step 3: Fill in the frequency distribution table with the counts for each intensity. For example, count how many times '0' appears, then '1', and so on.
Step 4: Analyze the frequency distribution to determine if the data appears to have a normal distribution. A normal distribution typically has a bell-shaped curve, with most data points clustering around the mean and fewer data points at the extremes.
Step 5: Consider the shape of the distribution based on the frequency counts. If the distribution is skewed or has multiple peaks, it may not be normal. Compare the distribution to the characteristics of a normal distribution to make a conclusion.

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Key Concepts

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

Frequency Distribution

A frequency distribution is a summary of how often different values occur within a dataset. It involves organizing data into categories or intervals and counting the number of observations in each category. This helps in understanding the distribution and patterns within the data, making it easier to visualize and analyze.
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F-scale Intensity

The F-scale, or Fujita scale, measures the intensity of tornadoes based on the damage they cause. It ranges from F0, indicating minimal damage, to F5, indicating incredible damage. Understanding the F-scale is crucial for categorizing tornado intensities and analyzing their frequency distribution in the dataset.
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Normal Distribution

A normal distribution is a bell-shaped curve where most data points cluster around the mean, with symmetrical tails on either side. In statistics, determining if data follows a normal distribution is essential for applying various statistical tests and models. Analyzing the frequency distribution of tornado intensities can help assess if they approximate a normal distribution.
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Related Practice
Textbook Question

In Exercises 23 and 24, construct the relative frequency distributions and answer the given questions.

Oscar Winners Construct one table (similar to Table 2-5) that includes relative frequencies based on the frequency distributions from Exercises 5 and 6, and then compare the ages of Oscar-winning actresses and actors. Are there notable differences?

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Textbook Question

In Exercises 9–12, using a loose interpretation of the criteria for determining whether a frequency distribution is approximately a normal distribution, determine whether the given frequency distribution is approximately a normal distribution. Give a brief explanation.

Best Actors Refer to the frequency distribution from Exercise 6

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Textbook Question

Exercises 29–34 involve large sets of data, so technology should be used. Complete lists of the data are not listed in Appendix B, but they can be downloaded from the website TriolaStats.com. Use the indicated data and construct the frequency distribution.

Systolic Blood Pressure Use the systolic blood pressures of the 300 subjects included in Data Set 1 “Body Data.” Use a class width of 20 mm Hg and begin with a lower class limit of 80 mm Hg. Does the frequency distribution appear to be a normal distribution?

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Textbook Question

Airport Data Speeds Listed below are the cellular data speeds (Mbps) from Sprint and Verizon measured at nine different airports (based on data from CNN). What would the presence of a correlation suggest about Sprint and Verizon?

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Textbook Question

In Exercises 13–16, write a statement that interprets the P-value and includes a conclusion about linear correlation.


Using the data from Exercise 6 “Airport Data Speeds,” the P-value is 0.003.

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Textbook Question

Burger King Lunch Service Times Refer to Data Set 36 “Fast Food” and use the drive-through service times for Burger King lunches. Begin with a lower class limit of 70 seconds and use a class width of 40 seconds.

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