Example variance simulation with an EV winrate of 5bb/100 and standard deviation of 150bb/100, over a sample of 160,000 hands.
The black line through the middle is the 5bb/100 EV line, with expected winnings of 80 buyins. The dark green curves indicate the 95% confidence interval, which predicts that 95% of simulated 5bb/100 players will have a result between +199 buy-ins and -40 buyins. (Which is a huge range of potential results). There will even be some "outliers" like the extreme luckbox (light blue line) that wins 287 BI, and the unluckiest (dark red) that loses 83 BI.
So you can see, someone (probably the unluckiest of all) that has an expectation of winning 80 buy-ins over this sample might end up losing 80, so would actually be 160 BI below EV.