Question

Mean of 8 observation is x. If one observation y is removed, then what is new mean???​

Answer 1

$\textbf{Given:}$

$\textsf{Mean of 8 observation is x}$

$\textbf{To find:}$

$\textsf{The new mean when one observation y is removed}$

$\textbf{Solution:}$

$\mathsf{Consider,}$

$\textsf{Mean of 8 observation is x}$

$\textsf{Sum\;of\;the\;8\;observations=8x}$

$\mathsf{When\;one\;observation\;y\;is\;removed,}$

$\mathsf{Sum\;of\;the\;7\;observations=8x-y}$

$\mathsf{New\;mean}$

$\mathsf{=\dfrac{\textsf{Sum of the 7 observations}}{7}}$

$\mathsf{=\dfrac{8x-y}{7}}$

$\therefore\boxed{\mathsf{New\;mean=\dfrac{8x-y}{7}}}$

$\textbf{Find more:}}$

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