Logistic regression 0.5 threshold

Why 0.5 threshold is not at the 0 (Zero) value of x-axis.

Because it is halfway between the values for False (0.0) and True (1.0).

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Another perspective is that, 0.5 corresponds to z = 0 but not x = 0. To find where it should be on the x-axis, you may compute it from the equation relating z to x.

Cheers,
Raymond