An ensemble of 100 identical particles is sent through a stern-gerlach apparatus and the z-component of spin is measured. 46 yield the value +\frac{\hbar}{2}+ ℏ 2 while the other 54 give -\frac{\hbar}{2}− ℏ 2. compute the standard deviation of the measurements.

The standard deviation is 0.4984

Step-by-step explanation:

In order to find standard deviation, The equation is given as

Here μ is the mean which is calculated as follows

Now the standard deviation is given as

So the standard deviation is 0.4984

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step-by-step explanation: