How do I check if a PowerShell module is installed?

To check if a module exists I have tried the following:

try {
    Import-Module SomeModule
    Write-Host "Module exists"
} 
catch {
    Write-Host "Module does not exist"
}

The output is:

Import-Module : The specified module 'SomeModule' was not loaded because no valid module file was found in any module directory.
At D:\keytalk\Software\Client\TestProjects\Export\test.ps1:2 char:5
+     Import-Module SomeModule
+     ~~~~~~~~~~~~~~~~~~~~~~~~
    + CategoryInfo          : ResourceUnavailable: (SomeModule:String) [Import-Module], FileNotFoundException
    + FullyQualifiedErrorId : Modules_ModuleNotFound,Microsoft.PowerShell.Commands.ImportModuleCommand

Module exists

I do get an error, but no exception is thrown, so we see Module exists in the end, although SomeModule does not exist.

Is there a good way (preferably without generating an error) to detect if a PowerShell module is installed on the system?

You can use the ListAvailable option of Get-Module:

if (Get-Module -ListAvailable -Name SomeModule) {
    Write-Host "Module exists"
} 
else {
    Write-Host "Module does not exist"
}