Though Scotland’s score always looked 20 runs below par, England were troubled at one stage.
They took three wickets in the powerplay, including Archer having the dangerous George Munsey and number three Brandon McMullen miscuing pulls in a lively opening spell of three overs, but Berrington countered impressively.
Berrington, a good player of slow bowling, was particularly aggressive against England’s spinners. He hit Rashid for two fours and a six in his second over and was the aggressor in a partnership of 71 with Tom Bruce.
At 113-3 in the 13th over, 190 was Scotland’s target. Instead, the wicket of Bruce resulted in the innings sliding away.
He slog-swept Liam Dawson to deep square leg for 24 – one of six batters to wastefully pick out fielders in the deep.
In the next over Rashid pinned the sweeping Berrington in front as England’s leg-spinner, having gone wicketless for 26 runs in his first two overs, took 3-10 in his second spell.
Dawson, who took 2-34, added the wicket of Michael Leask, also caught in the deep.
Scotland’s collapse 5-14 in 3.3 overs ultimately denied them the 30 runs that could have kept them alive in this tournament.