With Spurs winninge 4-0 v Stoke at the Britannia the updated top and bottom of the table looks like:
Leicester - 73 points, 4 remaining: Swansea, @United, Everton, @Chelsea - will probably end up with 79 points
Tottenham - 68 points, 4 remaining: WBA, @Chelsea, Southampton, @Newcastle - will probably end up with 78 points
City - 60 points, 5 remaining: @Newcastle, Stoke, @Southampton, Arsenal, @Swansea (still in UCL semi's, 2 more matches v Real) - will probably end up with 73 points
Arsenal - 60 points, 5 remaining: WBA, @Sunderland, Norwich, @City, Villa - will probably end up with 72 points
United - 56 points, 5 remaining: Palace, Leicester, @Norwich, @West Ham, Bournemouth (still in FA Cup v Everton Saturday, April 23rd) - will probably end up with 68 points
West Ham - 53 points, 5 remaining: Watford, @WBA, Swansea, United, @Stoke - will probably end up with 68 points
long shot, but... Liverpool - 51 points, 6 remaining: Everton, Newcastle, @Swansea, Watford, Chelsea, @WBA (still in Europa semi's 2 matches v Villareal). Liverpool is interesting. They have 6 matches left, and they really should claim 18 points from them, but they will be playing 2 matches per week the rest of the season (and have been the last 2 weeks). They need Arsenal or City to stumble down the stretch to have any shot at all, but it would be pretty remarkable if they win out.
Relegation battle
Norwich - 31 points, 4 remaining: @Arsenal, United, Watford, @Everton - will probably end up with 34 points (win v Watford)
Sunderland - 30 points, 5 remaining: Arsenal, @Stoke, Chelsea, Everton, @Watford - will probably end up with 34 points (win v Everton at home, draw @Watford)
Newcastle - 28 points, 5 remaining: City, @Liverpool, Palace, @Villa, and Spurs - will probably end up with 34 points (win v Palace and @Villa)
Villa - relegated
It is not out of the question that there ends up being a 3 way tie on points with Norwich, Sunderland, and Newcastle... that works out really well for Sunderland with the much better goal differential.