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Math question - Statistics - Methodology - Central Tendency











































Apply statistical measurements to a real life question.

   • Select a topic which is appropriate for a statistics project.

   • Ask a question which can be quantified by numerical statistical measures.

(An example would be: “What is the average number of hours people watch TV every week?”)

   • Develop a working hypothesis of what you expect the results of your research to be.

(For example, your hypothesis might be: Adults 21 years and over watch an average of 2.5 hours of TV per day.)

   • Develop a “Sampling Design” for collecting the information you need.

(Data can be gathered at work, on the phone, or using some other method.)

   • Methodology: Explain the method you use to gather data.

   • Which of the four sampling techniques best describes your design?

   • Sample at least fifteen people and record their data in a simple table or chart; study the examples from Section 12-3.

   • Calculations

       1. Divide your sample into categories, such as males/females, or ages, or time of day, etc.

       2. Calculate the mean, median, and mode for your data as a whole.

       3. Calculate the mean, median, and mode for each separate category.

       4. Explain which measure of central tendency best describes your data and why.

       5. Compare the results for each category with one another. Point out any interesting results or unusual outcomes between categories.

(This is called a “comparative analysis” – using our results to explain interesting outcomes or differences (i.e., between men and women)).

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May 26, 2011
Statistics - Methodology - Central Tendency
by: Staff

The question:

Select a topic of interest to you and record the topic in your posting, for example: “What is the average number of hours people watch TV every week?” Make sure the question you ask will be answered with a number, rather than answers with words.

Write a hypothesis of what you expect your research to reveal. Example: Adults 21 years and over watch an average of 2.5 hours of TV per day.

Sample at least fifteen people and record their data in a simple table or chart; study the examples from Section 12-3.

You can gather your data at work, on the phone, or via some other method. This is your “Sampling Design.” Which of the four sampling techniques best describes your design?

Explain in moderate detail the method you used to gather your data. In statistics this venture is called the “Methodology.”

Make sure you break your sample into classes or groups, such as males/females, or ages, or time of day, etc.

Calculate the mean, median, and mode for your data as a whole.

Now calculate the mean, median, and mode of each of your classes or groups.

Indicate which measure of central tendency best describes your data and why. Then compare your results for each class or group, and point out any interesting results or unusual outcomes between the classes or groups. This is called a “comparative analysis” – using our results to explain interesting outcomes or differences (i.e., between men and women).


The answer:


I have found a good answer to your question in our archives.


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