Question

If the average of the numbers 23, 24 , 25, x , 27, 28, 29

is x , What is the value of x?​

Answer 1

$\underline{\textbf{Given:}}$

$\textsf{Mean of 23,24,25,x,27,28,29 is x}$

$\underline{\textbf{To find:}}$

$\textsf{The value of x}$

$\underline{\textbf{Solution:}}$

$\textsf{We know that,}$

$\mathsf{Mean=\dfrac{Sum\;of\;observations}{No.\;of\;observations}}$

$\mathsf{x=\dfrac{23+24+25+x+27+28+29}{7}}$

$\mathsf{x=\dfrac{156+x}{7}}$

$\mathsf{7x=156+x}$

$\mathsf{7x-x=156}$

$\mathsf{6x=156}$

$\mathsf{x=\dfrac{156}{6}}$

$\implies\boxed{\mathsf{x=26}}$

$\underline{\textbf{Find more:}}$

Arithmetic mean of 3, 1, 4.2,5.0 and 3.7 is.?

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