Textbook Question
Determine whether the survey question is biased. If the question is biased, suggest a better wording.
How much do you exercise during an average week?
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1. Intro to Stats and Collecting Data
Intro to Stats
1:48 minutesProblem 1.RE.9
Textbook Question
Which part of the survey described in Exercise 3 represents the descriptive branch of statistics? Make an inference based on the results of the survey.
Verified step by step guidance1
Understand the two main branches of statistics: Descriptive statistics involves summarizing and organizing data, while inferential statistics involves making predictions or generalizations based on the data.
Identify the part of the survey that summarizes or organizes the collected data. This could include measures like mean, median, mode, percentages, or graphical representations such as charts or tables.
Recognize that the descriptive branch of statistics is focused on presenting the data as it is, without making predictions or generalizations.
To make an inference based on the survey results, consider how the data can be used to draw conclusions about a larger population or predict future trends. This is the inferential branch of statistics.
Clearly distinguish between the descriptive summary of the survey data and the inference drawn from it, ensuring you understand how each branch contributes to the analysis.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Descriptive Statistics
Descriptive statistics involves summarizing and organizing data to describe its main features. This can include measures such as mean, median, mode, and standard deviation, as well as graphical representations like histograms and pie charts. The goal is to provide a clear overview of the data without making predictions or inferences about a larger population.
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Inferential Statistics
Inferential statistics allows researchers to make conclusions or inferences about a population based on a sample of data. This branch uses probability theory to estimate population parameters and test hypotheses. It is essential for determining whether observed patterns in the data are statistically significant or likely due to random chance.
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Survey Methodology
Survey methodology refers to the techniques and principles used to collect data through surveys. This includes designing questions, selecting a sample, and determining the mode of administration (e.g., online, face-to-face). Understanding survey methodology is crucial for interpreting the results accurately and ensuring that the data collected is reliable and valid.
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