Manchester City made something of a statement in their 1-0 win over potential title challengers Chelsea on Saturday, whereas Manchester United seemed to take another step back as Ole Gunnar Solskjaer's reign stuttered again.

But Solskjaer is certainly not the only top-flight manager feeling the heat – Nuno Espirito Santo's honeymoon period as Tottenham boss is well and truly over, with the Portuguese now among the favourites to be the first Premier League boss sacked this season following a 3-1 defeat in the north London derby.

Without any further ado, here are some of the more curious facts and stats from across the Premier League this past weekend…

City defence putting the 'guard' in Guardiola

It may not have been the thrill ride neutrals were likely hoping for, but City's 1-0 win at Stamford Bridge was another impressive indicator of just how good Pep Guardiola's team is as a unit.

Of course, they won the Premier League only a few months ago, so saying City are "good" probably won't cut it for analysis – but what is really making people sit up and take note at the moment is how their unity and cohesion is translating into defensive solidity.

City have conceded just one goal in their six Premier League games this term, the fewest they've ever shipped at this stage of any league campaign.

Man City

Let's not forget that Chelsea had been widely praised for their own start to 2021-22, yet on Saturday they were prevented from having a single shot on target in a home league game since November 2012, which coincidentally was also against City.

But even more impressive from City's perspective was the fact Chelsea's expected goals (xG) value was just 0.2, the worst they've recorded in a home Premier League game since Opta records began in 2008-09.

While Chelsea fans will understandably be frustrated, it would seem their struggles on Saturday were more down to City being in a groove defensively.

They've only faced six shots on target this season, a record no Premier League has bettered over the first six matches in a campaign since at least 2003-04. If they keep this up, the title will surely be staying at the Etihad Stadium.

Fernandes' penalty miss not Man Utd's big issue

It was another day to forget for United on Saturday as they lost 1-0 at home to Aston Villa.

They were presented with a great opportunity to equalise in second-half stoppage time, but Bruno Fernandes sent his penalty over the crossbar.

Much of the focus afterwards was on Fernandes and his miss, though it would be unfair to pin the blame on him – after all, of the 23 spot-kicks he has taken since his United debut, he's only failed to convert two.

In the same time period, Cristiano Ronaldo – seemingly Fernandes' main penalty rival now – has taken 22 and missed four. This is not a problem that United need to dwell on much.

Instead, they'd be wise to look into their glaring tactical inefficiencies, with Solskjaer's team sorely lacking identity, cohesion and a defined playing style. Too often they are bailed out by moments of individual brilliance, which is an unsustainable approach to solely rely on in a title challenge.

Manchester United had 28 shots against Aston Villa without scoring

Against Villa, those instances of individual excellence never arrived, despite United mustering 28 shots. That was the most efforts attempted by United without scoring in a home league game since October 2016 (38 shots in 0-0 draw with Burnley).

They have now conceded in each of their past eight league games at Old Trafford, their worst such run in 49 years, and lost three successive home matches (all competitions) for the first time since 1962.

Norwich set new benchmark for worst start

With every match that passes, the light at the end of the tunnel seems to become ever dimmer for Norwich City.

A 2-0 defeat at Everton on Saturday leaves Norwich pointless and with a -14 goal difference after six matches – that makes their start to the season the worst after six matches in Premier League history.

Only twice before had a Premier League side begun a campaign without a single point from six games, the last of which was Frank de Boer's infamous Crystal Palace team in 2017-18 – the Dutchman was sacked after the fourth match in that sequence.

Norwich have at least been a little more patient than Palace, with Daniel Farke's record of overseeing two promotions seemingly ensuring he retains some good will at the club, even if he now has the highest loss percentage (75 per cent, 33/44) of any manager to take charge of at least 20 games in the Premier League.

Most would already consider Norwich to be doomed for relegation, though perhaps there is some reason for optimism.

There have only been nine teams to start a top-flight season (prior to 2021-22) with six or more successive losses, but four of them – including Palace – have avoided relegation.

Vardy joins exclusive club

Jamie Vardy ended up having a peculiar day when Leicester City drew 2-2 with Burnley on Saturday, the former England striker scoring three of the four goals.

It was his own goal that gave Burnley an early lead, while he also got both Leicester equalisers, including one late in the day.

That was his first own goal ever in 360 appearances for Leicester, while he became the first player to net at both ends for the club in a single Premier League game.

It's happened to some of the best, though. He joins an illustrious list containing 11 others who have scored at least 100 goals but also put past their own goalkeeper, with Harry Kane, Steven Gerrard, Paul Scholes, Frank Lampard and Wayne Rooney among them.

On top of that, Vardy is now only one of five players in Premier League history to score at least twice at the right end and an own goal in the same game after John Barnes (Liverpool v Spurs 1995), Niall Quinn (Sunderland v Charlton Athletic 2001), Rooney (Man Utd v Stoke City 2012) and Tammy Abraham (Chelsea v Wolves 2019).

But he is still doing more than his fair share at the other end, his brace in this game taking him to eight goal involvements in his past seven league games, which is 89 per cent (8/9) of Leicester's goals in that time.

Bad omens stacking up for Nuno

After three wins from his first three Premier League games in charge, everything was looking rather rosy for Tottenham boss Nuno.

Three matches and three defeats later, some will doubt whether he'll still be in charge this time next month, let alone this time next season.

Sunday's north London derby was his 10th in charge of Spurs and the 3-1 loss made him the first manager to lose as many as four of his first 10 matches at the helm of the club since Glenn Hoddle in 2001.

Hoddle was also the last Spurs boss to conceded at least three goals in three consecutive league games in September 2003, and he was sacked after that run.

Nuno will probably make it to the next match but the last team to begin a season with three wins and then lost the next three (Everton, 1993-94) finish as low down as 17th.

How Arsenal got the better of Tottenham

His future arguably rests on getting something out of Kane, who's failed to score in five straight league games for the first time since August 2016, but things aren't looking great given Spurs' 35 open-play shots is the second fewest in the division and their expected goals (xG) total is just 3.2, only higher than three teams.

While a lack of quality chances might usually be masked by Kane's excellence, he's not bailing them out any longer – if that continues, it's difficult to see Nuno keeping his job for the long term.