Probability and I have a question about standard deviation.

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Standard deviation is crucial for determining the suitable range of distance data by indicating how much data varies from the mean. The discussion highlights the use of standard deviation in plotting a normal distribution curve in Excel to visualize data spread. The relationship between the graph and the data can be understood through Chebyshev's inequality, which provides a probability measure for data within a specified range of standard deviations from the mean. The variable "h" represents the number of standard deviations considered in this context. Understanding these concepts allows for better interpretation of data deviation and probability distributions.
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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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