This error means that Joomla has gotten confused as to whether, and which version of, Admin Tools is currently installed on your site. This happens due to erroneous recordkeeping in Joomla's core #__schemas table, not an actual problem with the package file you're installing.
If you currently have Admin Tools installed, please export its configuration first.
Then, go to System, Manage, Extensions.
Expand the Filter Options. Under "- Select Type -" choose Package.
In the Search box type Admin Tools package (exactly as shown) and click on the magnifier icon.
Select the only extension you see, making sure its Type is listed as Package. This check is crucial.
Click on Actions, Uninstall in the toolbar. Ignore any errors which may be printed.
Install Admin Tools' ZIP package twice in a row, without uninstalling it before or in between.
If you had exported your configuration, you can now import it back into Admin Tools.
Moira Fari
Support Specialist
🇬🇧English: native 🕐 My time zone is Asia / Nicosia
Kindly note that my replies are fully vetted by our developers.