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Math - Mean, Median, and Mode

by Tee
(USA)











































Statistics Experimental Design Project

(You will be measuring a small part of the population you select, and then making a general statement about how the entire population will behave.)

Choose a topic. (For example, you could choose People and TV; or People and video games; or People and exercise, etc.)

Ask a question about the population you selected.

If the population you selected is “people”, you could ask: “What is the average number of hours people watch TV every week?”

(Just ensure your question can be answered using numerical sampling techniques.)

State your hypothesis.

(Your hypothesis is an assumption about how the entire population behaves. Your assumption may or may not be true. You will determine the accuracy of your hypothesis as you sample the population behavior and complete your calculations.

Your hypothesis could be something like: Adults 21 years and over watch an average of 2.5 hours of TV per day.

You will be using a Null Hypothesis, which assumes that every sample observation you record is purely the result of chance.)

Describe the Methodology of your Sampling Design? (You can gather your data at work, on the phone, or via some other method.)

Which of the four sampling techniques best describes your design?

Randomly sample the behavior of at least fifteen people with respect to the question you asked. (Record your data in a simple table or chart; study the examples from Section 12-3.)

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.

Comments for Math - Mean, Median, and Mode

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Jul 21, 2011
Mean, Median, and Mode
by: Staff

The question:

by Tee
(USA)

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:

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