1.

If the arithmetic mean of the numbers \[{{x}_{1}},{{x}_{2}},{{x}_{3}},\,......,\,{{x}_{n}}\] is \[\bar{x}\], then the arithmetic mean of numbers \[a{{x}_{1}}+b,\,a{{x}_{2}}+b,\,a{{x}_{3}}+b,\,........,a{{x}_{n}}+b\], where a, b are two constants would be

A.                 \[\bar{x}\]              
B.                 \[n\,a\bar{x}+nb\]
C.                 \[a\bar{x}\]            
D.                 \[a\bar{x}+b\]
Answer» E.


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