Create Mailing List – cPanel

Tutorial: login from the Client Area or the direct link.

Find Email section and click on Mailing Lists link.

List Name:
Type the mailing list name that you want.
The mailing list name must only contain letters, numbers, underscore characters (_), periods (.), or dash characters (-). You cannot use spaces.
Domain:
Select the domain for the mailing list.

Password:
Enter a secure password in the Password text box. It must contain uppercase and lowercase letters, numbers, and symbols. The system will evaluate the password that you enter on a scale of 100. A weak password has 0 value, while a very secure password has 100 value. Or you can click Password Generator to let the system create a secure password for you. 
Password (Again):
Retype the same password from above.
Access Type:
Choose between Public and Private Access Type.
Public
Public archives exist for this mailing list.
The subscriptions are open and the Mailman interface displays the list.
Private
Private archives exist for this mailing list.
The administrator must approve subscriptions,
and the Mailman interface does not display the mailing list.

Usually mailing lists are private, not public.

Click on Add button.