# Find and return the key with lowest value in association list

I am still new in Mathematica, and I need some help here. Suppose that I have an association

A=Association[1 -> 1, 2 -> 1, 3 -> 4, 4 -> 6, 5 -> 4, 6 -> 4, 7 -> 2, 8 -> 2, 9 -> 2, 10 -> 1, 11 -> 4, 12 -> 1, 13 -> 3, 14 -> 2, 15 -> 3, 16 -> 1]


and I want to get the output of key with the lowest value, which is

{1, 2, 10, 12, 16}


I know that ArgMin can't get my desired answer. So I tried Position[A, Min[A]], but instead it gives me the output

{{Key[1]}, {Key[2]}, {Key[10]}, {Key[12]}, {Key[16]}}


Is there a solution?

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• You still "will need some help here" after many a years :)
– eldo
Apr 26, 2015 at 17:53
• PositionIndex[#][Min@#] &[A] (see here) Jun 27, 2017 at 23:57

Keys @ MinimalBy[Value]@ A

{1, "2", 10, 12, 16}

About your approach, you can add Part:
Position[A, Min[A]][[All, 1, 1]]