MHB How to Calculate Measures of Variability for a Data Set?

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The discussion focuses on calculating measures of variability for the data set 5, 7, 5, 9, 4, 7, 7, 6, 8. Key concepts addressed include range, sample variance, sample standard deviation, estimated population variance, and estimated population standard deviation. Participants emphasize the importance of showing work to facilitate better assistance. There is a suggestion to review definitions in textbooks before seeking help. The thread highlights the need for clarity in understanding statistical measures.
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5,7,5,9,4,7,7,6,8
what is range?
What is sample variance?
What is sample standard deviation?
What is the estimated population variance?
What is the estimated population standard deviation?
Which measure of variability would you choose to describe these data and why?
Can whomever helps show work?
 
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jahmal said:
5,7,5,9,4,7,7,6,8
what is range?
What is sample variance?
What is sample standard deviation?
What is the estimated population variance?
What is the estimated population standard deviation?
Which measure of variability would you choose to describe these data and why?
Can whomever helps show work?

Hello and welcome to MHB! :D

We ask that our users show their progress (work thus far or thoughts on how to begin) when posting questions. This way our helpers can see where you are stuck or may be going astray and will be able to post the best help possible without potentially making a suggestion which you have already tried, which would waste your time and that of the helper.

Can you post what you have done so far?
 
This is really just a question about the definitions of "range", "sample variance", "sample standard deviation", "estimated population variance?", and "estimated population standard deviation".

Surely you were not given questions about these without being given the definitions first? Have you looked up those words in your textbook?
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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