Why were mobile phones invented?

Answer 1

so people could communicate in a totally different form of Morse Code
That's like asking why shoes were invented or why the computer was invented.

If you need to have an immediate conversation, make a quick call, have a long conversation but aren't at home, etc., then the cell phone becomes in use.
The cell phone was invented because military needed cell phones to communicate. Also, people could communicate from a long distance. Last, cell phones are easy to carry around.
why was the cellphone invented?

:) to have access to a portable device
because they just did they made cells phomes because there cool

so people could talk from anywhere they wanted to

Originally, it was invented for use in emergencies, and to spread information that was on a "need to know" basis. Then, once the cell phone caught on, it had all sorts of apps added to it, so the cell phone came from just a calling function with caller ID [I think] into the I phone which has over 75,000 apps.
so people could talk to others on the phone out of the house
mobiles were invented to allow for rapid communication. In business the ability to act or react quickly in situations can sometime make the difference between getting the job and not getting it. or getting it done quickly. the mobile was firs used in business but it did not take long for it to be adopted by the public at large.
the purpose is so people can speak to other people in emergencies or just to talk to other people