Probability and I have a question about standard deviation.

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Discussion Overview

The discussion revolves around the application of standard deviation in analyzing a dataset of distances. Participants explore how to relate standard deviation and mean to graphical representations of the data, particularly in the context of determining suitable ranges and understanding deviations.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant asks how to use standard deviation to choose a suitable range for distance data and how to relate a graph of standard deviation to their data.
  • Another participant questions the definitions of "suitable range" and "standard deviation graph," seeking clarification on how the graph is constructed.
  • A participant mentions using Excel to plot a standard normal distribution curve and expresses uncertainty about relating this graph to their data to assess deviations.
  • There is a reference to Chebyshev's inequality, suggesting that the probability of all data being within a certain range can be calculated based on standard deviations from the mean.
  • One participant clarifies that "h" represents the number of standard deviations included in the graph.

Areas of Agreement / Disagreement

The discussion contains multiple competing views and remains unresolved regarding the interpretation of standard deviation in relation to the dataset and the graphical representation.

Contextual Notes

Participants have not fully defined terms such as "suitable range" and "standard deviation graph," leading to ambiguity in the discussion. The application of Chebyshev's inequality is mentioned but not fully explored.

Who May Find This Useful

Individuals interested in statistical analysis, data visualization, and the application of standard deviation in data interpretation may find this discussion relevant.

agus
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I have a question about standard deviation. If I have a hundred of distance data, how can I use standard deviation to choose a suitble range of the distance. What is the relation between standard deviation graph and my data. I can plot a graph using mean and std of the data, but do not know how to relate that graph to my data.

Thank You.
 
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What do YOU mean by "a suitable range"? What do YOU mean by "standard deviation graph"? HOW are you drawing a "graph using mean and std of the data"? A graph of what?

Perhaps you are trying to decide what range you should use in a graph of your data- TCebyshev's inequality might apply here. The probability that all data are between the mean minus h times the standard deviation and the mean plus h times the standard deviation is 1- 1/h2.
 
Thank You very much HallsofIvy
I used excel to plot the standard normal distribution curve using mean and std of the data. But, I don't know how relate this graph with my data to see the deviation of the data. I want to see what is the deviation of data.Or the propability that the data are in a certain value between the mean.

Code: 
The probability that all data are between the mean minus h times,1- 1/h2.

What is h?

tq
 
Exactly what I said it was! h is the number of standard deviations on either side of the mean you are including in your graph.
 

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