You might want to try something like this instead:
SELECT
CONCAT(FirstName, ' ', LastName) AS `Employee Full Name`,
AirportName,
mobilenumber,
email,
CONCAT('$',FORMAT(avg(Salary),2)) AS `Average Salary`
FROM employees
GROUP BY
CONCAT(FirstName, ' ', LastName),
AirportName,
mobilenumber,
email;
Example
create table employees (
firstname text,
lastname text,
airportname text,
mobilenumber text,
email text,
salary decimal(10,2)
);
insert into employees values
('matt', 'jensen', 'airport-a', '111', 'a@b.com', 100.50),
('matt', 'jensen', 'airport-a', '111', 'a@b.com', 200.50),
('pinny', 'donna', 'airport-b', '222', 'c@d.com', 50.50),
('pinny', 'donna', 'airport-b', '222', 'c@d.com', 350.50),
('golo', 'prada', 'airport-a', '333', 'z@x.com', 10.50);
Query's result
Employee Full Name | AirportName | mobilenumber | email | Average Salary
:----------------- | :---------- | :----------- | :------ | :-------------
golo prada | airport-a | 333 | z@x.com | $10.50
matt jensen | airport-a | 111 | a@b.com | $150.50
pinny donna | airport-b | 222 | c@d.com | $200.50
See this: https://dbfiddle.uk/?rdbms=mysql_5.7&fiddle=3030e55183dd1bbd769a9567f48ab282
Explanation
Include all your non-statistics columns in your group by. Doing so, you are telling the database that for a unique combination of full name, airport, cell and email, you want average salary.
Your concat idea seems to be just fine. You'd just have to make sure you are concatenating $ with formatted average salary. Basically, you were on the right track.