How to quantify the shape of a sequence of data values

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SUMMARY

This discussion focuses on quantifying the shape of a sequence of data values, specifically analyzing entry and exit angles relative to a maximum value. The example provided illustrates a dataset of 0, 5, 10, 5, 0, which forms a curve resembling a sailboat, with entry and exit angles approximated at 45 degrees. The challenge highlighted is the need to scale the x-axis in relation to the y-values to effectively visualize the shape, ensuring that 90% to 95% of the data fits within the scaled parameters.

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IMK
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Hello,

So I was wondering how I would measure and or quantify the shape of a sequence of data values with two values (an entry and an exit angles to/from the max)

Say we have a set of values like:

0,5,10,5,0

If we assume the x-axis incremental is by 1 and plot this on graph paper we would end up with a curve that looks like a sail bout. So we could say the entry and exit angle are say 45 degrees.

But is the data values where very small we would hardly notice any shape at all.

So I guess we would need to scale the x by the y values some how and this is where I am stuck.

Many thanks in advance IMK
 
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Scale in a way that 90% to 95% of your data are within it.
 

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