Intensity Level Interval

intensity level interval
How to calculate the level average of a noise, in decibels?

Example:
In a railway we have measured the folowing sound intensity with interval of an hour between them:

Time | Sound intensity level
-----------------------------------------
08 hours, L = 84.9 dB
09 hours, L = 82.3 dB
10 hours, L = 81.1 dB
11 hours, L = 87.4 dB
12 hours, L = 85.7 dB

How can I calculate the level average (Lavg) of these sound intensity, in dB?

I think you have to convert to actual numbers instead of dB which is a log. Relative to 80 dB
these are 4.9, 2.3, 1.1, 7.4, 5.7
take each one, divide by 10 and raise 10 to that power.
those numbers are 3.09, 1.70, 1.29, 5.50, 3.72
averaging those 5, we get 3.06
converting back to dB, that is 4.86. Adding 80 dB, that is 84.9 as an average.

Just averaging the dB, we get 84.3 dB, but taking the arithmetic average of logs doesn't make sense.

.

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