Automation to remove values from history

Hello there,

I’m using a temp/humidity sensor in Bluetooth.
Sometimes, the value is not realistic, like yesterday, my office went from 21.2°C to 1568.7°C and back to 21.0°C.

It is easy to detect with an automation that the difference between last value and current value is weird with a template for exemple.

But then, I’d like to remove that non-sense value from the states table in a way.
Is it possible?

Because if I dont, my graph look like this
image
which is not really nice …

EDIT: I assume I can use an sql command, but as it is my first time, I’d like some help.

How I find the culprit:

SELECT * 
   FROM states 
  WHERE entity_id = 'sensor.xiaomi_temperature' 
    AND state > 50

And then, I delete it base on state_id, which I could do in one SQL statement but “better be safe than sorry”.

EDIT 2
Then, I sometime do an update of the state_id which have the deleted one as old_state_id as the deleted one with the old_state_id of the deleted one (does it make sense?) even if it doesn’t seem to be a problem not to do it.

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