Alec Connell has the lowest career goals-against average by a goalie, with a 1.92 average.

which goalie has the best all-time gaa
Interpreted as:
Which goalie has the best all-time gaa with a minimum of 250 games played?
ConnellHainsworthGardinerChabotThompsonKerrHasekDrydenBrodeurRaskWortersTurekBenedictBishopMcNeilDurnanTurcoPlanteQuickLegaceSchneider1.921.932.022.032.072.142.202.242.242.272.272.312.322.322.342.362.362.382.412.412.43
NAMEGPGAAGSWLTOTLSAGASVSV%SHOMIN
Alec ConnellAlec Connell4181.92193156688368126177
George HainsworthGeorge Hainsworth4651.93246144749379429104
Charlie GardinerCharlie Gardiner3162.02112151526644219687
Lorne ChabotLorne Chabot4122.03200146628587125403
Tiny ThompsonTiny Thompson5532.07284194751,1808134176
Dave KerrDave Kerr4302.14204149769545126807
Dominik HasekDominik Hasek7352.20454389223821320,2201,57218,648.9228142836
Ken DrydenKen Dryden3972.24258577411,08387010,213.9224623329
Martin BrodeurMartin Brodeur12662.241,0246913971054931,7092,78128,928.91212574438
Tuukka RaskTuukka Rask5602.275403061636615,4851,21614,269.9215232208
Roy WortersRoy Worters4842.27171230821,1436730181
Roman TurekRoman Turek3282.31313159115437,8867347,152.9072719094
Clint BenedictClint Benedict3622.32189142288605722286
Ben BishopBen Bishop4132.323972221283611,36090310,457.9213323317
Gerry McNeilGerry McNeil2762.3411910552252645221.8772816533
Bill DurnanBill Durnan3832.36208112629013422945
Marty TurcoMarty Turco5432.36516275167264013,4471,21612,231.9104130955
Jacques PlanteJacques Plante8372.3843724614522,6881,96020,865.9208249513
Jonathan QuickJonathan Quick6662.416583362496917,8781,55716,321.9135438831
Manny LegaceManny Legace3652.413371879918239,1518098,342.9122420140
Cory SchneiderCory Schneider4092.433881701595811,48394210,541.9182623244
Pekka RinnePekka Rinne6832.436673692137519,2251,59817,627.9176039413
Henrik LundqvistHenrik Lundqvist8872.438714593109625,6102,10123,509.9186451816
Evgeni NabokovEvgeni Nabokov6972.44683353227295718,3981,63016,768.9115940152
Corey CrawfordCorey Crawford4882.454742601625313,9241,14612,778.9182628119

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