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Formula to automatically sort range of data into groups in different columns by colour?

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I am an educator trying to find a way to automatically group students into broad groups of 'below''at' and 'above'.My data is more specific (i.e. numerical value between 0 and 30) and I would like to be able to input the specific numerical data and have it automatically sort names into the broader groups.I would prefer this to happen on the same sheet if possible.I have already conditionally formatted so that it colour codes, but I would like it to ADDITIONALLY create an extra table.

So far I basically have 'if score between 0 and 3, cell turns red. If between 5 and 8, cell is green, etc.'I would like a formula that says 'if cell is green, copy matching name into 'at' column, if cell is purple, copy matching name into 'above' column, etc.

I am very new to google sheets and am working it out as I go so would love help for this!I have attached quick sketch of what I'm hoping to achieve: enter image description here


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