Uncertainty is due to the measurement techniques humans tend to use requiring photoelectric effect. The Planck constant is due to the photoelectric effect. If the standard deviation of measurement was zero, both sides of the equation would be zero and the uncertainty equation would be meaningless. So it has already been assumed for uncertainty to work.
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Uncertainty is due to the measurement techniques humans tend to use requiring photoelectric effect.
I think you're confusing what uncertainty means in the theory of Quantum Mechanics. The famous "Uncertainty Principle" has nothing to do with what we measure. It a fundemental aspect regardless of whether we measure or not.
If you want to understand how we got to the uncertainty principle: $$\Delta x \Delta p \geq \frac \hbar 2,$$ there are lots of great resources to start with only a Google away.