How to counter Shyvana
Let us take a look on how to beat Shyvana. We will look at champions who are strong against Shyvana and who are weak against Shyvana. Use win rate, gold difference and creep score difference at minute 10 to find the best 
Jungle champion who counters Shyvana. You can already win in champion select with the right counters for Shyvana. If you want to know how to counter Shyvana then you need to take into account the best picks vs Shyvana and the worst picks vs Shyvana. This Shyvana counter data is based on matches played by Pros on patch 15.12 and previous ones. It is important to see whether Pros counter picked Shyvana or whether they played as Shyvana.
Champions used by Pros to counter pick Shyvana
Looking at the matches from Pros (see table Pros counter picked Shyvana) we can see that they picked 
Xin Zhao most often to counter pick Shyvana. The matchup Xin Zhao vs Shyvana occured 6 times. Shyvana has 4 wins and 2 losses in this matchup. Learn how to counter pick Xin Zhao to get another perspective on the data.
Lane outcome for Shyvana
When looking at Shyvana counters you will notice that win rates alone are not conclusional. Therefore we provide an overview (see table Lane Outcome) where you can see the lane outcome of Pros who played Shyvana. The lane outcome of Shyvana consists of three outcomes: Win, Loss or Draw. Let's take a look of Shyvana lane and match outcome for specific matchups. Considering the lane outcome and the match outcome of a specific matchup, might enable you to find the right counter for Shyvana.
Conclusion
Analyze the available data and learn how to beat Shyvana. To master Shyvana take also a look on Shyvana builds and runes for Shyvana. Good luck, Summoner!