Scenario: A group of 40 individuals recorded the amount of time (in hours) they spent on various activities in a day. The activities include sleeping, working, exercising, leisure, and other tasks. The data collected for "leisure" time is as follows: [2, 3, 1.5, 4, 2.5, 3, 2, 5, 1, 3.5, 2, 4.5, 3, 2.5, 1, 4, 3, 2, 5, 3.5, 2, 4, 3, 2.5, 1.5, 4, 3, 2, 5, 3.5, 2, 4, 3, 2.5, 1, 4.5, 3, 2, 5] Tasks: 1. Create a Histogram: • Objective: Illustrate the distribution of leisure time among individuals. • Instructions: • Choose appropriate intervals (e.g., 1-2 hours, 2-3 hours, etc.). . Tally the number of individuals in each interval. Plot the histogram accordingly. 2. Create a Bar Chart: • Objective: Compare the frequency of specific leisure time durations. . Instructions: • Decide on categories (e.g., 1-2 hours, 2-3 hours, etc.). • Create bars representing the count of individuals in each category. Ensure the chart is well-labeled and easy to interpret. 3. Analysis Questions: • a. Identify the most common range of leisure time. • b. Calculate the average leisure time and discuss how it relates to the histogram. • • c. Determine the probability that a randomly selected individual spends more than 4 hours on leisure activities. d. Discuss any trends or patterns observable from the visualizations and suggest reasons for these patterns.
Scenario: A group of 40 individuals recorded the amount of time (in hours) they spent on various activities in a day. The activities include sleeping, working, exercising, leisure, and other tasks. The data collected for "leisure" time is as follows: [2, 3, 1.5, 4, 2.5, 3, 2, 5, 1, 3.5, 2, 4.5, 3, 2.5, 1, 4, 3, 2, 5, 3.5, 2, 4, 3, 2.5, 1.5, 4, 3, 2, 5, 3.5, 2, 4, 3, 2.5, 1, 4.5, 3, 2, 5] Tasks: 1. Create a Histogram: • Objective: Illustrate the distribution of leisure time among individuals. • Instructions: • Choose appropriate intervals (e.g., 1-2 hours, 2-3 hours, etc.). . Tally the number of individuals in each interval. Plot the histogram accordingly. 2. Create a Bar Chart: • Objective: Compare the frequency of specific leisure time durations. . Instructions: • Decide on categories (e.g., 1-2 hours, 2-3 hours, etc.). • Create bars representing the count of individuals in each category. Ensure the chart is well-labeled and easy to interpret. 3. Analysis Questions: • a. Identify the most common range of leisure time. • b. Calculate the average leisure time and discuss how it relates to the histogram. • • c. Determine the probability that a randomly selected individual spends more than 4 hours on leisure activities. d. Discuss any trends or patterns observable from the visualizations and suggest reasons for these patterns.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I need detailed answer with each single step, do not skip any calculations, And most importantly, give visualization, i do not just need simple answer, need visualization, histogram , graphs, with proper labeling.
![Scenario: A group of 40 individuals recorded the amount of time (in hours) they spent on various
activities in a day. The activities include sleeping, working, exercising, leisure, and other tasks. The
data collected for "leisure" time is as follows:
[2, 3, 1.5, 4, 2.5, 3, 2, 5, 1, 3.5, 2, 4.5, 3, 2.5, 1, 4, 3, 2, 5, 3.5, 2, 4, 3, 2.5, 1.5,
4, 3, 2, 5, 3.5, 2, 4, 3, 2.5, 1, 4.5, 3, 2, 5]
Tasks:
1. Create a Histogram:
• Objective: Illustrate the distribution of leisure time among individuals.
• Instructions:
• Choose appropriate intervals (e.g., 1-2 hours, 2-3 hours, etc.).
.
Tally the number of individuals in each interval.
Plot the histogram accordingly.
2. Create a Bar Chart:
• Objective: Compare the frequency of specific leisure time durations.
. Instructions:
• Decide on categories (e.g., 1-2 hours, 2-3 hours, etc.).
•
Create bars representing the count of individuals in each category.
Ensure the chart is well-labeled and easy to interpret.
3. Analysis Questions:
• a. Identify the most common range of leisure time.
•
b. Calculate the average leisure time and discuss how it relates to the histogram.
•
•
c. Determine the probability that a randomly selected individual spends more than 4 hours
on leisure activities.
d. Discuss any trends or patterns observable from the visualizations and suggest reasons for
these patterns.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F51079f09-222f-4350-8f85-2c771af3aba2%2Fbec58626-d22f-4d2b-8096-dc761a4db3b1%2Fqh7c09f_processed.png&w=3840&q=75)
Transcribed Image Text:Scenario: A group of 40 individuals recorded the amount of time (in hours) they spent on various
activities in a day. The activities include sleeping, working, exercising, leisure, and other tasks. The
data collected for "leisure" time is as follows:
[2, 3, 1.5, 4, 2.5, 3, 2, 5, 1, 3.5, 2, 4.5, 3, 2.5, 1, 4, 3, 2, 5, 3.5, 2, 4, 3, 2.5, 1.5,
4, 3, 2, 5, 3.5, 2, 4, 3, 2.5, 1, 4.5, 3, 2, 5]
Tasks:
1. Create a Histogram:
• Objective: Illustrate the distribution of leisure time among individuals.
• Instructions:
• Choose appropriate intervals (e.g., 1-2 hours, 2-3 hours, etc.).
.
Tally the number of individuals in each interval.
Plot the histogram accordingly.
2. Create a Bar Chart:
• Objective: Compare the frequency of specific leisure time durations.
. Instructions:
• Decide on categories (e.g., 1-2 hours, 2-3 hours, etc.).
•
Create bars representing the count of individuals in each category.
Ensure the chart is well-labeled and easy to interpret.
3. Analysis Questions:
• a. Identify the most common range of leisure time.
•
b. Calculate the average leisure time and discuss how it relates to the histogram.
•
•
c. Determine the probability that a randomly selected individual spends more than 4 hours
on leisure activities.
d. Discuss any trends or patterns observable from the visualizations and suggest reasons for
these patterns.
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