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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
All textbooksTriola 14th EditionCh. 2 - Exploring Data with Tables and GraphsProblem 2.1.17
Chapter 2, Problem 2.1.17

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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Step 1: Identify the range of the data set by finding the minimum and maximum service times for Burger King lunches.
Step 2: Determine the number of classes needed by dividing the range by the class width of 40 seconds. Round up to the nearest whole number if necessary.
Step 3: Construct the frequency distribution table starting with the lower class limit of 70 seconds. Add the class width of 40 seconds to determine the upper class limit for each class.
Step 4: Tally the number of service times that fall within each class interval to find the frequency for each class.
Step 5: Review the frequency distribution table to ensure all service times are accounted for and that the intervals are correctly labeled and non-overlapping.

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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 classes or intervals and counting the number of observations in each class. This helps in understanding the distribution and patterns within the data, such as the most common or rare values.
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Class Limits and Class Width

Class limits define the range of each class in a frequency distribution. The lower class limit is the smallest value that can belong to a class, while the upper class limit is the largest. Class width is the difference between the lower limits of consecutive classes, determining the size of each interval and ensuring that all data points are covered without overlap.
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Histogram

A histogram is a graphical representation of a frequency distribution, using bars to show the frequency of data within each class. The height of each bar corresponds to the number of observations in that class, providing a visual summary of the data's distribution, central tendency, and variability. It is useful for identifying patterns such as skewness or modality.
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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

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?

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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?