/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 31 Polling 1000 people in a large c... [FREE SOLUTION] | 91Ó°ÊÓ

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Polling 1000 people in a large community to determine the average number of hours a day people watch television.

Short Answer

Expert verified
The short answer cannot be provided as it depends on the data collected from the survey. The average is calculated by dividing the total number of hours watched by the total number of individuals surveyed.

Step by step solution

01

Data Collection

The first step in this study would involve collecting data. This is usually done by conducting a survey. In this case, we are surveying 1000 people from a large community about the number of hours they watch television per day.
02

Summarize the Data

After collecting the data, you sum up the total number of hours watched per day by all the respondents. This could be done by adding up all the hours watched by each of the 1000 individuals in the community.
03

Calculate the Average

The final step is to calculate the average number of hours people in the community watch TV per day. You do this by dividing the total number of hours watched (which you calculated in step 2) by the total number of individuals surveyed (1000 in this case). The formula you would be using is \(\frac{sum \ of \ hours}{number \ of \ individuals}\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Data Collection
Data collection is a crucial step in any statistical analysis as it gathers the primary information needed for further investigation. In the context of surveying a community's television-viewing habits, data collection involves systematically choosing a representative sample and gathering relevant information from them. For this exercise, 1000 people from a large community are surveyed. These participants should ideally reflect the diversity of the population, including different ages, genders, and social backgrounds.
  • First, ensure that the sample size is adequate; larger sample sizes generally provide more accurate insights into the entire population.
  • Next, develop a clear and concise questionnaire to ensure consistent data collection across all participants.
  • Finally, use appropriate data collection tools, like digital surveys or face-to-face interviews, that best fit the context and resources available.
Survey Methodology
Survey methodology is about designing and conducting surveys in the most effective way possible to gather high-quality data. A well-structured survey not only provides clear and accurate data but also encourages maximum participation by respondents. In the given exercise, you should consider:
  • Choosing the right sampling technique: This could be random sampling to avoid biases or stratified sampling to ensure representation from various subgroups within the community.
  • Crafting questions that are straightforward and unambiguous to prevent misunderstandings.
  • Making questions open-ended if you wish to explore more detailed explnations, but keep them closed-ended if you prefer quantitative data for easy analysis.
  • Testing the survey on a small group first to check for any potential issues before full deployment.
By following these steps, you ensure that the survey results accurately reflect the television-watching habits of the community.
Average Calculation
Calculating the average is a fundamental aspect of descriptive statistics that provides insight into the central tendency of the data collected. When determining the average number of hours people watch TV per day, follow this simple formula: \[Average = \frac{\text{Total number of hours watched}}{\text{Number of individuals surveyed}}\]First, after collecting the data, sum all the hours reported by participants. This total reflects the overall television-watching time for the surveyed group. Then, divide this total by the number of participants, which is 1000 in this exercise. This division gives the average tv-watching time per individual.
Keep in mind:
  • The average provides a summary measure, but it's also important to consider the variance or spread of hours to understand viewing habits better.
  • Any significant outliers or unusual responses might distort the average, so it's crucial to investigate such anomalies.
This approach aids in comprehensively understanding and possibly predicting television-viewing trends in broader contexts.

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Most popular questions from this chapter

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