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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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:

  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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