Questions and Answers
How many individuals are included in the summary of service times?
48
Is it possible to identify the exact values of all of the original service times?
No
What are the relative frequencies of the five classes based on the frequencies 5, 10, 18, 5, and 3?
12.20%, 24.39%, 43.90%, 12.20%, 7.32%
Identify two major flaws with the relative frequency distribution of heights of adult males.
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What are the lower class limits for the frequency distribution of ages when an award was won?
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What is the upper class limit for the frequency distribution of ages when an award was won?
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What is the class width for the frequency distribution of ages when an award was won?
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What is the number of individuals included in the summary for the age frequency distribution?
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What are the lower class limits for the frequency distribution of blood platelet counts of males?
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What is the total number of individuals in the blood platelet count frequency distribution of males?
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Does the frequency distribution of blood platelet counts for males appear to have a normal distribution?
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Does the frequency distribution appear to have a normal distribution?
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What class width is used for constructing a frequency distribution of BMI values starting from 15.0?
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Does the frequency distribution of daily rainfall data appear to be roughly a normal distribution?
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What can be said about the accuracy of the weights reported by statistics students?
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Variation is a measure of the amount that the data values vary.
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Outliers are sample values that lie very far away from the majority of the other sample values.
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Class width is found by __________.
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Study Notes
Service Times Summary
- 48 individuals are included in the summary of service times.
- Exact original service times cannot be determined as values fall within class limits.
Frequency Table of Grades
- Relative frequencies calculated as percentages: A: 12.20%, B: 24.39%, C: 43.90%, D: 12.20%, F: 7.32%.
- Percentages are derived by dividing each class frequency by the total frequency (41) and multiplying by 100.
Relative Frequency Distribution of Heights
- Major flaws include: total relative frequencies exceeding 100% (124% reported) and uniformity in relative frequencies, which contradicts characteristics of a normal distribution.
Age Frequency Distribution for Awards
- Lower class limits: 25, 35, 45, 55, 65, 75, 85.
- Upper class limits: 34, 44, 54, 64, 74, 84, 94.
- Class width: 10 (calculated as 34-25+1).
- Class midpoints: 29.5, 39.5, 49.5, 59.5, 69.5, 79.5, 89.5.
- Class boundaries: 24.5, 34.5, 44.5, 54.5, 64.5, 74.5, 84.5, 94.5.
- Total number of individuals: 90.
Blood Platelet Count Frequency Distribution (Males)
- Lower class limits: 0, 100, 200, 300, 400, 500, 600.
- Upper class limits: 99, 199, 299, 399, 499, 599, 699.
- Class width: 100.
- Class midpoints: 49.5, 149.5, 249.5, 349.5, 449.5, 549.5, 649.5.
- Class boundaries: -0.5, 99.5, 199.5, 299.5, 399.5, 499.5, 599.5, 699.5.
- Total individuals: 154.
Blood Platelet Count Frequency Distribution (Females)
- Lower class limits: 100, 200, 300, 400, 500.
- Upper class limits: 199, 299, 399, 499, 599.
- Class width: 100.
- Class midpoints: 149.5, 249.5, 349.5, 449.5, 549.5.
- Class boundaries: 99.5, 199.5, 299.5, 399.5, 499.5, 599.5.
- Total individuals: 148.
Normal Distribution Characteristics
- Strict interpretation: Distribution does not appear normal.
- General observation: Distribution can appear normal if frequencies increase and then decrease, forming a symmetric shape.
Frequency Distribution for Body Mass Index
- Construct frequency distribution starting from a lower class limit of 15.0 with a class width of 6.0.
- Sample counts result in frequencies: 3, 9, 4, 3, 1.
Frequency Distribution for Screw Lengths
- Classes: 3.470-3.479, 3.480-3.489, 3.490-3.499, 3.500-3.509, 3.510-3.519.
- Frequencies for each class: 2, 6, 10, 10, 2.
Rainfall Frequency Distribution
- Establish frequency distribution starting with a lower class limit of 0.00 and class width of 0.20.
- Results in frequencies: 22, 4, 3, 0, 0, 0, 1.
- Distribution is not symmetric and does not present a normal distribution pattern.
Weights of Statistics Students
- Frequencies for final digits of weights: 8, 2, 2, 1, 3, 10, 1, 0, 3, 1.
- Reported weights likely due to disproportionate occurrence of 0s and 5s, implying low accuracy.
Concepts of Variation and Outliers
- Variation quantifies how much data values differ from each other.
- Outliers are defined as sample values significantly distant from the majority, indicating possible anomalies in the data.
Class Width Calculation
- Class width is determined by subtracting a lower class limit from the next consecutive lower class limit.
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Description
This set of flashcards covers key concepts from Chapter 2 of Elementary Statistics, focusing on homework problems related to service times at a fast food restaurant. Students will review the summary of service times and understand how to interpret statistical data on individual cases.
