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: 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. 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. 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

See similar textbooks

Related questions

Question

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:

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.
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.
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.