There were an estimated 28.1 million households in the UK in 2021, an increase of 6.3% over the previous 10 years. [0]
and:
The UK population at mid-year 2021 was estimated to be 67.0 million, an increase of 3.7 million (5.9%) on the population in mid-2011.[1]
So the number of UK households increased by slightly more than the population between 2011 and 2021.
[0] https://www.ons.gov.uk/peoplepopulationandcommunity/birthsde...
[1]https://www.ons.gov.uk/peoplepopulationandcommunity/populati...