Question

उजेवढ5.4,xx-3.9डे पाठ63 अंरामल बाव।f the
arithmetic mean of 5.4.2.X +3.9 and 8 is 6, find out value of x.
5.4,x.x-3.9 और 8 का मध्यमान 6 है तोx का मूल्य ज्ञात करें।
O (A)7
OB)25
O(C)6
OD)35​

Answer 1

$Given \: arithmetic \:mean \: of \: 5,4,x ,x-3,\\9 \: and \: 8 \: is \: 6$

$i) Sum \: of \: the \: observations \\= 5 + 4 + x + ( x-3) + 9 + 8 \\= 5 + 4 + x + x-3 + 9 + 8 \\= 23 + 2x$

$ii) Number \: of \: observations = 6$

$\blue{ Arithmetic \: mean = 6 \: ( given )}$

$\pink{ \frac{Sum \: of \: the \: observations }{ Number \: of \: observations } = 6 }$

$\implies \frac{23 + 2x }{6 }= 6$

$\implies 23 + 2x = 36$

$\implies 2x = 36 - 23$

$\implies 2x = 13$

$\implies x = \frac{13}{2}$

$\implies x = 6.5$

Therefore.,

$\red{ Value \: of \: x }\green { = 6.5 }$

$Options \: given \: are \: wrong .$

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Answer 2

Answer:

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