Create a web application in HTML & JavaScript that contains an updated "math quiz". Include the following:

1. The quiz should implement the addEventListener method of responding to events.
2. Questions should change when the page is refreshed
   1. Questions could be generated using the Math.random() function.
   2. Questions could be generated from an array of questions.
3. Answers to quiz questions should be checked as right or wrong.
4. A running score should be kept of the questions answered correctly/incorrectly and displayed within the web page.
5. If users type in non-numerical input they should be prompted to try again.