Finding Linear Transform for <x>=5, SD=2 to Reach <y>=20, SD=4

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SUMMARY

The discussion focuses on determining the linear transformation parameters for the equation = ax + b, where is set to 5 with a standard deviation of 2, and the desired output is 20 with a standard deviation of 4. The solution provided identifies the coefficients as a = 2 and b = 10. This transformation effectively scales and shifts the input variable to meet the specified output criteria.

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Ezekiel20
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let <x> =5 and Standard Dev =2. Which linear tranform y=ax+b results in <y>=20 and standard dev=4?
 
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You asked the same question in UK Physics forum, and I answered it there. (a=2, b=10)
 

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