Table of contents
- 1. Intro to Stats and Collecting Data55m
- 2. Describing Data with Tables and Graphs1h 55m
- 3. Describing Data Numerically1h 45m
- 4. Probability2h 16m
- 5. Binomial Distribution & Discrete Random Variables2h 33m
- 6. Normal Distribution and Continuous Random Variables1h 38m
- 7. Sampling Distributions & Confidence Intervals: Mean1h 3m
- 8. Sampling Distributions & Confidence Intervals: Proportion1h 12m
- 9. Hypothesis Testing for One Sample1h 1m
- 10. Hypothesis Testing for Two Samples2h 8m
- 11. Correlation48m
- 12. Regression1h 4m
- 13. Chi-Square Tests & Goodness of Fit1h 20m
- 14. ANOVA1h 0m
2. Describing Data with Tables and Graphs
Frequency Distributions
Problem 2.1.17
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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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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