We are title contenders. We should beat mid table teams! End of story.
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Well if it's the end of the story I suppose there's no need to discuss this further with you...
In case someone else thinks there's more to this story statto.com has tables for "away games vs. middle third".
Last season:
http://www.statto.com/football/stats/england/premier-league/2015-2016/versus-middle-third/away
Leicester won 2, drew 4. Arsenal won 3, drew 1, lost 2. We won 3, drew 2, lost 1. City won 4, drew 1, lost 1.
14/15 season:
http://www.statto.com/football/stats/england/premier-league/2014-2015/versus-middle-third/away
Chelsea won 3, drew 2, lost 1. Emirates Marketing Project won 5, drew 1, lost 0. Arsenal won 2, drew 1, lost 3. Man Utd won 1, drew 3, lost 2.
13/14 season:
http://www.statto.com/football/stats/england/premier-league/2013-2014/versus-middle-third/away
Emirates Marketing Project won 3, drew 1, lost 2. Liverpool won 3, drew 3, lost 0. Chelsea won 3, drew 0, lost 3. Arsenal won 5, drew 1, lost 0
(That's the last 3 seasons, and top 4 in order against the "middle third teams", couldn't be bothered looking further back.)
Conclusion (imo): No, title contenders are not winning away from home against mid table teams with a great frequency. Actually no champion in the last 3 season has won more than half their away games against mid table teams. Only 25% of teams in the top 4 have recorded a win frequency greater than 50% in these games in the last 3 seasons.