Indeed. From the polls I remember, the difference between 'leave' and 'remain' was marginal when taking into account the confidence interval.
Here are the details of the final poll IpsosMORI carried out just before 23 June 2016:
"Ipsos MORI’s final poll before the referendum on Britain’s membership of the European Union shows a tight race. The poll reveals among those most likely to vote and who say the result is important to them 52% will choose Remain while 48% will choose Leave (excluding the undecideds).
One week ago we saw leave ahead by 53% to 47%. Based on likely voters only (not on those who say the result is important as well), the equivalent figure in this poll is 49% leave 51% remain. And there is still scope for further shifts: 12% say they may change their mind before going to the polling station. There is little difference when it comes to voting stance however. Nine in ten (88%) Remain voters say they have definitely decided (11% may change their mind) compared with 85% of Leave voters (14% who may change their mind)."
Source:
https://www.ipsos.com/ipsos-mori/en-uk/ipsos-mori-eu-referendum-prediction-poll
Using the data from the last pre-referendum poll delivered by IpsosMORi in which 52% selected 'Remain' and 48% 'leave', the confidence interval (based on a 95% confidence interval), assuming a representative sample (which I would expect), is roughly +/-2.5% for both recorded scores. Thus, the estimated scores would be:
- Remain - 49.5% to 54.5%
- Leave - 45.5% and 50.5%
A clear overlap. They were only 1.5% out even accounting for the '12% may change their mind' and those 'undecided' were exculded.
Anyone know why Brexiters see 'beating the pollsters' as some kind of triumph? I don't get it.