Let S={a,b,c} be a subset of P={1,2,3,...,18, 19,20} such that b=c-1 and a=b+4.  Find the standard deviation of S if S has no mode but with midrange equals to 13.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Let S={a,b,c} be a subset of P={1,2,3,...,18, 19,20} such that b=c-1 and a=b+4.  Find the standard deviation of S if S has no mode but with midrange equals to 13. 

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