How Do You Calculate and Graph Standard Deviation and Mean Deviation?

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SUMMARY

This discussion focuses on calculating and graphing standard deviation and mean deviation, particularly in a precalculus context. Participants emphasize the importance of understanding summation for hand-calculating these statistics. The standard deviation is defined as a measure to determine the reasonableness of possible outcomes, while the mean serves as a crucial parameter in this calculation. Resources such as Stat Trek and tutorials on normal distribution are recommended for further learning.

PREREQUISITES
  • Understanding of basic statistics concepts, including mean and standard deviation.
  • Familiarity with the summation notation and its application in statistical formulas.
  • Knowledge of graphing techniques, specifically for bell-shaped curves.
  • Ability to interpret x and y values in a graphing context.
NEXT STEPS
  • Learn how to calculate standard deviation using the formula involving summation.
  • Explore resources on mean deviation and its relationship to standard deviation.
  • Study graphing techniques for normal distributions and bell curves.
  • Review online tutorials on statistical concepts, particularly from Stat Trek.
USEFUL FOR

Students in precalculus, educators teaching statistics, and anyone seeking to understand and visualize standard deviation and mean deviation in data analysis.

minase
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We just started slandered deviation in our precalcules class. We did not learn summation about sequence and series stuff. Our teacher just skipped all of that staff. I know that the standered deviation helps you to determine if the possible out comes are reasonable. How could you find the standered deviation and mean deviation? And how do you graph this I looked at the graph and it looks like a bell. In order to graph do you need to know the x and they values? I don't get what the teacher is talking about at all the formula with the sigma sign it doesn't make any sense to me. I don't have any resources that I could learn these things. Our teacher has all ready collected our books. IF you if you give me some sites that might be help full to me that would be really great.
 
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minase said:
We just started slandered deviation in our precalcules class. We did not learn summation about sequence and series stuff.
summation is an important concept to learn in order to hand-calculate the standard deviation and mean.

I know that the standard deviation helps you to determine if the possible out comes are reasonable.
that's a vague definition. Here is a http://www.m-w.com/cgi-bin/dictionary?book=Dictionary&va=standard+deviation.


How could you find the standard deviation and mean deviation? And how do you graph this. I looked at the graph and it looks like a bell.
you find the standard deviation using a method. Here is a common http://stattrek.com/Help/HelpCenter.aspx?Target=Standard_deviation of that method.
If your graph looks like a bell, why are you asking how to graph it? If you mean how do you graph standard deviation, at each point they can be plotted along with the data values. By mean deviation, I take it you are talking about just the "mean", which is an important parameter in determining the standard deviation.

In order to graph do you need to know the x and the y values?
they certainly would be useful (what would you graph if you didn't know the x & y values? :confused: )

I don't get what the teacher is talking about at all the formula with the sigma sign it doesn't make any sense to me. I don't have any resources that I could learn these things. Our teacher has all ready collected our books.
I would make an appointment to see your teacher during office hours and ask to go over that.
IF you if you give me some sites that might be help full to me that would be really great.
It is really easy to do that using a search engine.Here is one http://stattrek.com/Lesson2/Normal.aspx . It is a tutorial outlining all the most common parameters used in a normal distribution (bell shaped curve)
 
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