the mid 2000s / the mid 1900s

[makiohashi]

The phrase "mid-1900s" refers to the middle of the 20th century, but "mid-2000s" is often used to mean around 2005. I wonder which is the correct, acceptable meaning.

[bhaisahab]

The phrase "mid-1900s" refers to the middle of the 20th century, but "mid-2000s" is often used to mean around 2005. I wonder which is the correct, acceptable meaning.

Logically it means the middle of the 21st century.

[makiohashi]

Logically it means the middle of the 21st century.

Then if you want to talk about around 2003-2005 or so, how would you say it if it is incorrect to say "in the mid-2000s"?

[bhaisahab]

Then if you want to talk about around 2003-2005 or so, how would you say it if it is incorrect to say "in the mid-2000s"?

Around the middle of the decade.

[Raymott]

The phrase "mid-1900s" refers to the middle of the 20th century, but "mid-2000s" is often used to mean around 2005. I wonder which is the correct, acceptable meaning.

You've asked a question that's brought up an interesting point.
The mid-1910s means around 1905, but the mid-1900s means around 1950. There is no simple unambiguous way of referring to the middle of the x00 decade.
The mid 2000s, from our perspective, could mean around 2005, or around 2050.

Another interesting point is that we don't talk about 00s or 10s. We can say the following:
The jazz age was back in the '20s.
The '60s and '70s saw the age of 'free love' etc.
but not
World War One occurred in the '10s. We can say "the 1910s", but even this sounds a bit strange.