Suppose we have a sample where exactly half thesample differs from the mean by a

Question

Suppose we have a sample where exactly half thesample differs from the mean by and exactly half the samplediffers from the mean by . If s denotes the standarddeviation, prove the following formula.
       
s2 = ( -)2     +   *
          2           

Please expalin the steps in an easy way. Wouldreally appreciate it. Suppose we have a sample where exactly half thesample differs from the mean by and exactly half the samplediffers from the mean by . If s denotes the standarddeviation, prove the following formula.
       
s2 = ( -)2     +   *
          2           

Please expalin the steps in an easy way. Wouldreally appreciate it.

Explanation / Answer

Thank you very much for posting, but you could you please explain a bit more? I mean explain what you just did in a detailed way and very simple...i have hard understanding the things you have written. I would really appreciate it please.

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