mean of 15 observations is 23 . if each observation is multipled by 2

Dear Student,

Please find below the solution to the asked query:

Given : Mean of 15 observations is 23 . 

We know : Mean  = $\frac{\mathrm{Sum} \mathrm{of} \mathrm{observations} }{\mathrm{Number} \mathrm{of} \mathrm{observations} }$ , So

$\Rightarrow \frac{\mathrm{Sum} \mathrm{of} 15 \mathrm{observations} }{15 } = 23$

$\Rightarrow$ Sum of 15 observations = 345

Also given: If each observation is multiplied by 2  , So


New Mean = $\frac{2 \times \left( \mathrm{Sum} \mathrm{of} 15 \mathrm{observations} \right)}{15 } = \frac{2 \times 345}{15 }= \frac{690}{15 }$ =  46                           ( Ans )
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