arithmetic mean and geometric mean of two numbers.

It all depends . . . .

For example:

there is a bandwidth of 200Hz for a band pass filter. The central critical frequency is 1000Hz.

we can assume that the lower limit is 900hz and the upper limit is 1100Hz.

okay, what if I'm only given the upper and lower limits?

upper limit=1100 and lower limit=900

How should I calculate the central critical frequency?

→By using the arithmetic mean I obtain:

(1100+900)/2=1000Hz

→By using the geometric mean I obtain:

(1100*900)^0.5=994.99Hz

→or

(1100-900)=200,, then 200/2=100,,

after 1100-100=1000Hz or 900+100=1000Hz

Which one should I use [

]

and Why