Based on Hueys answer, here's an approach easier to use for you – and coming closer to what you're after. There's an app called Ping & DNS offering several network tools which, on a
ping, even can display a graphical analysis:
Ping & DNS (source: Google Play; click images for larger variants)
I have not used this app myself, so I cannot give any verdict on it. But quoting from the app's description, it should be pretty much what you're after:
The results can be copied (via long-click on the output text), sent via email or stored in a file as text or PDF. A history of the results of recent operations is kept (swipe left and right to switch between tabs).
Numerous options (like using an alternative name server, Ping TTL, showing ping times for each traceroute step, Broadcast Ping, using HTTPS, setting the HTTP port number, selection of DNS record types to query, etc.) are available through a long-click on the "Go" button.
The dev promises it "Contains no ads", it's available at Google play at no cost, and has a pretty good ranking (4.3 stars at over 5k votes), so it's at least worth a try!
For more alternatives, you're welcome checking my relevant app lists: