Question

The mean of 2, x + 10, 19, 10, 13, 10 is 11. Find the value of ‘x’.​

Answer 1

Answer:

Mean = 2 + x + 10 + 19 + 10 + 13 + 10/6 = 11

= 64 + x = 66

Therefore x = 2

Answer 2

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The mean of $2, \:(x + 10),\: 19,\: 10,\: 13, \:10$ is $11.$ Find the value of $‘x’.$

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The mean of $2, \:(x + 10),\: 19,\: 10,\: 13, \:10$ is $11.$

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The value of $‘x’.$

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We know that:

$\large\blue{\boxed{\pink{Mean={\frac{Sum\: of \:the\: terms}{Number \:of \:terms}}}}}$

So,

${\frac{[2+(x+10)+19+10+13+10]}{6}}=11$

$➳\:{\frac{(x+64)}{6}}=11$

$➳\:{(x+64)}={(11×6)}$

$➳\:{(x+64)}={66}$

$➳\:x=(66-64)$

$➳\:x=2$

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$x=2$

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The value of $x$is $2.$

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${\frac{[2+(x+10)+19+10+13+10]}{6}}=11$

Substituting $x$with $2.$

$➳\:{\frac{[2+(2+10)+19+10+13+10]}{6}}=11$

$➳\:{\frac{(2+12+19+10+13+10)}{6}}=11$

$➳\:{\frac{66}{6}}=11$

$➳\:11=11$

So, L.H.S = R.H.S.

Hence, verified.

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