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How can I make a bar chart based on conditional formatting of the input data?

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[Context]

I have a spreadsheet for my spending so I can keep track of my budget each week. I've used conditional formatting and sometimes manual formatting to colour code each purchase by category. I was thinking it would be helpful to have a bar chart that shows me which category I'm spending the most in.

[Question]

I know that you can filter by cell formatting, so is there a smart way to go about this? Can Sheets see that this cell is this colour and so belongs to this category? And then to output a total of the value of each category? Or something along those lines.

Currently the only way I can think of doing it is by filtering by colour fill and taking all the data out manually and summing it. This obviously will be time consuming as it means I will have to constantly update this data as well as inputting my purchases. So not ideal :)

Thanks for your help everyone.


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